id_ddm stringlengths 32 32 | dialogs listlengths 2 2 | ground_truth stringclasses 10
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511b5de121e2465b8226723eed6252d8 | [
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"content": "A perfectly elastic uniform string is suspended vertically with its upper end fixed to the ceiling and the lower end loaded with the weight. If a transverse wave is imparted to the lower end of the string, the pulse will:\n\n(A) travelled upwards with decreasing speed\n(B) not ... | C | Physics |
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{
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"content": "A uniform magnetic field $B = kt$ is passing perpendicular to plane of a ring of resistance $R$. $k$ is a constant and $t$ is time. If resistance of the ring is constant, the current flowing through the ring is:-\n\n(A) clockwise and constant\n(B) zero\n(C) clockwise and increa... | A | Physics |
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"content": "Two infinitely long parallel wires carry currents of magnitude $I_1$ and $I_2$ and are at a distance $4$ cm apart. The magnitude of the net magnetic field is found to reach a non-zero minimum value between the two wires and $1$ cm away from the first wire. The ratio of the two ... | J | Physics |
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"content": "CuSO$_4.$5$H_2O$(s) $\\rightleftharpoons$ CuSO$_4$.3H$_2O$(s) + 2H$_2O$(g); $k_p$ = 4 $10^{4}$ atm$^2.$ If the vapour pressure of water is 38 torr then percentage of relative humidity is : (Assume all data at constant temperature)\n\n(A) 20\n(B) 40\n(C) 50\n(D) 30\n(E) 25\n(F) ... | B | Chemistry |
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"content": "A particle of mass $m$ carrying charge $q$ is lying at the origin at the uniform magnetic field directed along $Y-$ axis. At time $t=0$, it is given velocity $v_{0}$ at angle $\\alpha $ with the $X-$ axis as shown in the figure. The coordinates of the particle after one revolut... | I | Physics |
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"content": "A police car moving at $22m/s$, chases a motorcyclist. The police man sounds his horn at $176Hz$, while both of them move towards a stationary siren of frequency $165Hz$. Calculate the speed of the motorcycle, if it is given that he does not observe any beats. (velocity of soun... | B | Physics |
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"content": "Equal volumes of 1.0$ { M } { KCl }$ and 1.0${ M} { AgNO_{3} }$ , are mixed. The depression of freezing point of the resulting solution will be $(K_{f}{(H_{2}O)}$= $1.86K Kg mol^{-1}$, $1M=1m):$\n\n(A) 0.465 K\n(B) 0.93 K\n(C) 1.395 K\n(D) None of these\n(E) 5.58 K\n(F) 3.72 K\... | H | Chemistry |
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"content": "the magnetic needles has magnetic moment $6.7 \\times {10^{ - 2}}\\;A{m^2}$ and moment of inertia $I = 7.5 \\times {10^{ - 6}}\\;kg{m^2}$ . It performs 10 complete oscillations in 6.70 s. What is the magnitude of the magnetic field?\n\n(A) 0.1 T\n(B) 0.06 T\n(C) 0.01 T\n(D) 0.1... | C | Physics |
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"content": "$C(s)+O_2(g)\\rightarrow CO_2, (g);$ $\\Delta H=-94.3$ kcal/mol\n$CO(g)+\\dfrac{1}{2}O_2(g)\\rightarrow CO_2(g);$ $\\Delta H=-67.4$ kcal/mol\n$O_2(g)\\rightarrow 2O(g);$ $\\Delta H=117.4$ kcal/mol\n$CO(g)\\rightarrow C(g)+O(g);$ $\\Delta H=230.6$ kcal/mol.\nCalculate $\\Delta H... | F | Physics |
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"content": "A particle of mass $'m'$ is moving along a circle of radius $'r'$. At some instant, its speed is $'v'$ and it is gaining speed at a uniform rate $'a'$, then, at the given instant, acceleration of the particle is :\n\n(A) inclined to radius at $\\theta = \\sin ^ { - 1 } \\dfrac ... | I | Physics |
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"content": "Carbon $- 11$ decays to $boron - 11$ according to the following formula.\n$$^{11}_{6}C \\Rightarrow _{5}^{11}B + e^{+} + v_{e} + 0.96MeV$$\nAssume that positrons $(e^{+})$ produced in the decay combine with free electrons in the atmosphere and annihilate each other almost immed... | I | Physics |
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"content": "An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity C remains constant. If during this process the relation of pressure p and volume V is given by $pV^n = constant$, then n is given by (Here, $C_p$ and $C_V$ are molar specific heat at con... | H | Physics |
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{
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"content": "The ozone layer in the earth's upper atmosphere is important in shielding the earth from very harmful ultraviolet radiation. The ozone, O$_3$, decomposes according to the equation $2O_3(g) \\rightarrow 3O_2(g)$. The mechanism of the reaction is thought to proceed through an in... | I | Chemistry |
729cb217edf640ff876b1f6f567a9b63 | [
{
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"content": "Calculate the change in pH of one litre of buffer solution containing $0.10$ mol each of $NH_3$ & $NH_4Cl$ upon addition of $(i)$ $0.02$ mol of dissolved gaseous $HCl$ $(ii)$ $0.02$ mol of dissolved $NaOH$. Assume no change in solution volume. $(K_b\\: for \\:NH_3\\, =\\, 1.8\\... | F | Chemistry |
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{
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"content": "A vertical glass capillary tube of radius r open at both ends contains some water ( surface tension T, a density $\\rho$). If L be the length of the water column then :\n\n(A) $$\\displaystyle L = \\frac{5T}{2r{\\rho}g}$$\n(B) $$\\displaystyle L = \\frac{5T}{4r{\\rho}g}$$\n(C) ... | D | Physics |
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"content": "The ends of a stretched string of length $L$ are fixed at $x=0$ and $x=L$. In one experiment, the displacement of the wire is $y_{1}=2A\\sin\\left(\\dfrac{\\pi x}{L}\\right)\\sin\\omega t$ and energy $E_1$ and in another experiment, its displacement is $y_2 = A\\sin\\left({\\di... | G | Physics |
69b3cf17f95d4f94833ada275d48e1d6 | [
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"content": "When the air temperature is $-\\theta^{\\circ}C$, the ice on a large shallow lake increases by $x\\ m$ in $t$ seconds. The thermal conductivity of ice is:\n(Density of ice $= \\rho kg\\ m^{-3}$ and $L =$ Latent heat in $J\\ k$).\n\n(A) $$\\dfrac{5\\rho Lx^{2}}{6\\theta t}$$\n(B... | F | Physics |
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"content": "In order to prepare a buffer of $P^H$ 8.26, the amount of $(NH_4)_2SO_4$ required to be mixed with 1L of 0.1 M $NH_3(pK_b=4.74)$ is:\n\n(A) 1 mol\n(B) 1.5 mol\n(C) 0.5 mol\n(D) 0.3 mol\n(E) 2 mol\n(F) 5 mol\n(G) 0.4 mol\n(H) 0.2 mol\n(I) 0.1 mol\n(J) 10 mol\n\nPlease write your... | C | Chemistry |
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"content": "White light may be considered to be a mixture of waves with $\\lambda$ ranging between $3900$ $\\overset{o}{A}$ and $7800$ $\\overset{o}{A}$. An oil film thickness $10,000$ $\\overset{o}{A}$ is examined normally by the reflected light. If $\\mu =1.4$, then the film appears brig... | E | Physics |
fb3545f1c81d4a0b9e088404149a3ff6 | [
{
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"content": "In the Young's arrangement, screen starts moving towards right with constant speed $v$. Initial distance between screen and plane of slits is $x$. At $t=0$ $1st$ order maxima is lying at point $A$. After how much time first order minima lies at point $A$?\n\n(A) $$\\dfrac{2x}{3... | C | Physics |
9b63c53c2d6142a3be06e4010bc54f3f | [
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"content": "What is the equilibrium constant of the reaction: $2Fe^{3+} + Au^{+}\\rightarrow 2Fe^{2+}+Au^{3+}?$ \nGiven $ E_{Au^{+}|Au}^{0} = 1.68 V,E_{Au^{3+}|Au}^{0} = 1.50 V,$\n$ E_{Fe^{3+}|Fe^{2+}}^{0} = 0.75V $ and $ 2.303RT/F = 0.06.$\n\n(A) $$1 \\times 10^{-32}$$\n(B) $$ 1 \\times 1... | B | Chemistry |
e8e31eed173f4a2bbcaa5a29c95e31cc | [
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"content": "A particle starts from a point $P$ at a distance of $A/2$ from the mean position $O$ & travels towards left as shown in the figure. If the time period of SHM, executed about $O$ is $T$ and amplitude $A$ then the equation of motion of particle is :\n\n(A) $$x = A \\sin\\left ( \... | C | Physics |
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"content": "10 mole of $N{H}_{3}$ is heated at 15 atm from $27$ to $347$ assuming volume constant. The pressure at equilibrium is found to be 50 atm. The equilibrium constant for dissociation of $N{H}_{3} : 2N{H}_{3} \\rightleftharpoons {N}_{2} + 3{H}_{2}$; $\\Delta H = 91.9... | H | Physics |
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"content": "In qualitative analysis, cations of group II, as well as group IV, precipitated in the form of sulphides. Due to the low value of $K_{sp}$ of group II sulphides, the group reagent is $H_2S$ in presence of dil. $HCl$ and due to high value of $K_{sp}$ of group IV sulphides, group... | B | Chemistry |
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"content": "From the following reactions at $298\\ K$.(A) $CaC_{2}(s) + 2H_{2}O(l) \\rightarrow Ca(OH)_{2}(s) + C_{2}H_{2} (g);\\ \\Delta H^{\\circ}= - 127.9\\ kJ\\ mol^{-1}$(B) $Ca(s) + \\dfrac {1}{2} O_{2}(g) \\rightarrow CaO(s) ;\\ \\Delta H=- 635.1kJ\\ mol^{-1}$(C) $CaO(s) + H_{2}O(l) ... | I | Chemistry |
9bc045fae8dc4316ad70ea1693b5fb59 | [
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"content": "How many grams of $ H_{2}S $ will react with $6.32 g$ $ KMnO_{4} $ to produce $ K_{2}SO_{4} $ and $ MnO_{2} $? $(K = 39, Mn = 55)$\n\n(A) $$4.08 g$$\n(B) 1.04 g\n(C) $$0.85 g$$\n(D) 0.61 g\n(E) 1.02 g\n(F) 1.03 g\n(G) $$0.51 g$$\n(H) $$2.04 g$$\n(I) 0.76 g\n(J) 1.53 g\n\nPlease... | G | Chemistry |
f873e72f7d7f45ba91ff56f54c4ac8c0 | [
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"content": "A steady current I goes through a wire loop PQR having shape of a right angle triangle with PQ = 3x, PR = 4x and QR = 5x. If the magnitude of the magnetic field at P due to this loop is k$\\left (\\dfrac{\\mu_0I}{48\\pi x} \\right )$ find the value of k.\n\n(A) 13\n(B) 14\n(C) ... | F | Physics |
be04ee7d2b404f2d95846758c99826e0 | [
{
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"content": "At 298 K the standard free energy of formation of H$_2$O$(l) $ is -237.20 kJ/mole while that of its ionisation into H$^+$ ion and hydroxyl ions is 80 kJ/mole, then the emf of the following cell at 298 K will be: (take F = 96500 C)$H_2 (g , 1 bar) | H^+ (1 M) || OH^- (1M) | O_2 ... | D | Chemistry |
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"content": "An ideal gas is trapped between Hg thread of $12\\ cm$ and the closed lower end of a narrow vertical tube of uniform cross section. Length of the air column is $20.5\\ cm$, when the open end is kept upward. If the tube is making $30^{0}$with the horizontal then the length of th... | I | Physics |
9032215daa0c46c3a913b88366d3be3b | [
{
"role": "user",
"content": "A small particle of mass m moving inside a heavy, hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown... | A | Physics |
df659baa07da463590e25c233161e9dc | [
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"content": "A particle having a charge of $20\\mu C$ and mass $20\\mu g$ moves along a circle of radius 5 cm under the action of a magnetic field B=0.1 tesla. When the particle is at P, uniform transverse electric field is switched on and it is found that the particle continues along the t... | J | Physics |
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"content": "The standard heat of combustion of ethene gas is $-330 \\ Kcalmol^{-1} $. Calculate $ {C = C} $ bond energy (in kcal/mol) assuming that bond energy of $C -H$ bond is $93.6 \\ Kcalmol^{-1} $Given : $ \\Delta H_{f}^{0} $ for $ CO_2(g) $ and $ H_2O (l) $ are $-94.2$ and $-61\\ Kc... | C | Chemistry |
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"content": "A short bar magnet with the north pole facing north forms a neutral point at P in the horizontal plane. If the magnet is rotated by $90^o$ in the horizontal plane, the net magnetic induction at $P$ is ( Horizontal component of earth's magnetic field $= B_H$):\n\n(A) $$\\sqrt{5}... | A | Physics |
4281ad080d9c4d39a03db2cad95af3a3 | [
{
"role": "user",
"content": "Ten charges having charge $1\\mu C,\\,8\\mu C,\\,27\\mu C,.......1000\\mu C$ are placed on the x-axis with co-ordinates $x = 1\\,m,\\,2\\,m,\\,3\\,m,\\,4\\,m,\\,.....\\,10\\,m.$ The net electric field intensity at the origin is:\n\n(A) $$4.5 \\times {10^4}\\,N/C$$\n(B) $$4.95 \... | D | Physics |
585d1face84946a6bfe5d7218022f298 | [
{
"role": "user",
"content": "A ring of radius $R$ is having two charges $q$ and $2q$ distributed on its two half parts. The electric potential at a point on its axis at a distance of $2\\sqrt {2}R$ from its centre is $\\left (k = \\dfrac {1}{4\\pi \\epsilon_{0}}\\right )$\n\n(A) $$\\dfrac{kq}{R}$$\n(B) $$\... | A | Physics |
c3d831a99ebf4d308b8f2542fa37bd57 | [
{
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"content": "The degree of dissociation is $0.4$ at $400$K and $1.0$ atm for the gaseous reaction $PCl_5\\rightleftharpoons PCl_3+Cl_2$. Assuming ideal behaviour of all the gases, calculate the density of equilibrium mixture at $400$K and $1.0$ atm. (Relative atomic mass of $P=31.0$ and $Cl... | F | Chemistry |
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{
"role": "user",
"content": "The solubility product of $Pb_3(AsO_4)_2$ is $4.1\\, \\times\\, 10^{-36}.\\, E^{\\ominus}$ for the reaction:\n$$Pb_3(AsO_4)_2(s)\\, +\\, 6e^-\\, \\rightleftharpoons\\, 3Pb(s)\\, +\\, 2AsO_4^{2-}\\, if\\, E^{\\ominus}_{Pb^{2+}\\, |\\, Pb}\\, =\\, -0.13\\, V$$\n\n(A) $$-0.13 V$$\... | C | Chemistry |
9de35ddd9f964480ae7ef1999f00e775 | [
{
"role": "user",
"content": "For the following three reactions 1,2 and 3, equilibrium constant are given :\n(1) $CO(g)+H_2O(g)\\rightleftharpoons CO_2(g)+H_2(g)$ ;$K_1$\n(2) $CH_4(g)+H_2O(g)\\rightleftharpoons CO(g)+3H_2(g)$ ;$K_2$\n(3) $CH_4(g)+2H_2O(g)\\rightleft... | H | Chemistry |
7346dbf62cbf4b149868a0ef907122d6 | [
{
"role": "user",
"content": "$0.5$ mole each of two ideal gas $A \\left( C _ { v , m } = \\dfrac { 5 } { 2 } R \\right)$ and $B \\left( C _ { v , m } = 3 R \\right)$ are taken in a container and expanded reversibly and adiabatically, during this process temperature of gaseous mixture decreased from $... | G | Physics |
5e20b93a9d8e4171836aa1e0e5320730 | [
{
"role": "user",
"content": "On increasing temperature from 200 K o 220 K rate of reaction A increase by 3 times and rate of reaction B increases by 9 times hen correct relationship between activation energy of A and B is\n\n(A) $$3{ E }_{ A }={ E }_{ B }$$\n(B) $${ E }_{ A }={ 4E }_{ B }$$\n(C) $${ E }_{ ... | E | Chemistry |
2e1ee758b2b043d98d6845fe6f0712aa | [
{
"role": "user",
"content": "One end of a glass capillary tube with a radius $r=0.05$ $cm$ is immersed into water to a depth of $h = 2cm$. What pressure is required to blow an air bubble out of the lower end of the tube:\n$T=7\\times { 10 }^{ -2 }N/m$ and $\\rho ={ 10 }^{ 3 }$ kg/ ${ m }^{ 3 }$)\n\n(A) 208... | B | Physics |
d5d49ac3fbca4d93a4eed6f50ddc53f2 | [
{
"role": "user",
"content": "Two soap bubbles combine to form a single bubble. In this process, the change in volume and surface area are $V$ and $A$ respectively. If $P$ is the atmospheric pressure, and $T$ is the surface tension of the soap solution, then which of the following relation is true?\n\n(A) 4... | E | Physics |
42a1fd9e75b34862a1a599dc44edd277 | [
{
"role": "user",
"content": "An organic compound $C_5H_9Br$ (A) which readily decolourises bromine water and cold alkaline $KMnO_4$ solution gives $C_5H_{11}Br$ (B) on catalytic hydrogenation. The reaction of A with alcoholic KOH first and then with $NaNH_2$ produces C with an evolution of $NH_3$. C reacts... | H | Chemistry |
d517f689de754112a7aac2a6f704c219 | [
{
"role": "user",
"content": "The vapour pressure of two pure liquids A and B which form an ideal solution are 1000 and 1600 torr respectively at 400 K. A liquid solution of A and B for which the mole fraction of A is 0.60 is contained in a cylinder by a piston on which the pressure can be varied. The solut... | E | Chemistry |
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{
"role": "user",
"content": "In the equation $X=2YZ^2$, $X$ and $Z$ are dimensions of capacitance and magnetic induction respectively. In MKSQ system, the dimensional formula for $Y$ is\n\n(A) $$[M^{-3}L^{-2}T^{-2}Q^{-4}]$$\n(B) [M^{-3}L^{-2}Q^4T^5]\n(C) $$[M^{-3}L^{-2}Q^4T^8]$$\n(D) [M^{-3}L^{-2}Q^4T^6]\n... | H | Physics |
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{
"role": "user",
"content": "The degree of association can be defined as the number of moles of a particular substance associated per more of the substance taken.For example: If out of 10 mole of N$_2$, 3 mole of N$_2$ combine with H$_2$ to form NH$_3$, then degree of association of $N_2 = 0.3$Consider the... | G | Chemistry |
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{
"role": "user",
"content": "An electron is moving with the speed $5\\times 10^6 ms^{-1}$ is shooted parallel to the electric field of intensity $1\\times 10^3 NC^{-1}$. Field is responsible for the retardation of motion of electron. Now evaluate the distance travelled by the electron before coming to rest... | F | Physics |
5b051bbaf2e94e748a0fc4bec481b5ef | [
{
"role": "user",
"content": "The correct increasing order of solubility of the following substances in $g/100 ml$ is $PbSO_{4} (K_{sp} = 2 \\times 10^{-9})$, $ZnS(K_{sp} = 1 \\times 10^{-22})$, $AgBr (K_{sp} = 4 \\times 10^{-13})$, $CuCO_{3}(K_{sp} = 1 \\times 10^{-8})$.(Atomic masses : $Pb = 208$, $Zn = 6... | H | Chemistry |
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{
"role": "user",
"content": "What is the change in potential energy if an electron moves from $z = 4d$ to $z = 3d$?\n\n(A) $$\\dfrac{-e\\lambda}{4\\pi\\epsilon_0}\\ln{\\dfrac{4}{3}}$$\n(B) $$\\dfrac{e\\lambda}{4\\pi\\epsilon_0}\\ln{\\dfrac{5}{7}}$$\n(C) $$\\dfrac{e\\lambda}{4\\pi\\epsilon_0}\\ln{\\dfrac{7}... | A | Physics |
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{
"role": "user",
"content": "A uniform electric field of magnitude $100 \\mathrm { V } / \\mathrm { m }$ in space is directed along the line $y = 3 + x$ . Find the electric potential difference between $( 1,3 )$ and $( 3,1 )$\n\n(A) $$200 \\mathrm { V }$$\n(B) $$100 \\mathrm { V }$$\n(C) $$150 \\mathrm { V... | H | Physics |
3cd51b98f6b84ef78bdb8278ac13355c | [
{
"role": "user",
"content": "A cubical block of wood of edge $4 cm$ floats in a liquid of density $1200 kg /m^3$. The lower surface of wood just touches the free end of unstertched vertical spring fixed at bottom of tank. The maximum weight that can be put on the block without wetting it is ( Density of wo... | F | Physics |
9ba351c0e8fa484285fddf34d530139b | [
{
"role": "user",
"content": "A gaseous mixture enclosed in a vessel of volume V consists of one mole of a gas A with $\\gamma$ = $\\dfrac { 5 }{ 3 }$ and another gas B with $\\gamma$ = $\\dfrac { 7 }{ 5 }$ at a certain temperature T. the molar masses of the gases A and B are 4 and 32, respectively. The gas... | H | Physics |
787db7588dd349f488856ec2d8057ae6 | [
{
"role": "user",
"content": "Two isotropic point sources of sound, $S_1$ and $S_2$. The source emit waves in phase at wavelength $0.50\\ m$; they are separated by $D=1.75\\ m$. If we move a sound detector along a large circle centered at the midpoint between the sources. Choose the correct options :\n\n(A)... | H | Physics |
9beb8ab9dcfb43b18064c4ed7f25ccb0 | [
{
"role": "user",
"content": "The conductivity of a saturated solution containing $ AgA(K_{sp} = 3\\times 10^{-14}) $ and $ AgB (K_{sp} = 1\\times 10^{-14}) $ is $ 3.75\\times 10^{-8}\\Omega ^{-1}cm^{-1} $. If the limiting molar conductivity of $ Ag^{+} $ and $ A^{-}$ ion is 60 and 80 $\\Omega ^{-1} cm^{2} ... | C | Chemistry |
d6ea9a27c29c4131a3bee9e52a8f4146 | [
{
"role": "user",
"content": "In a Wilson cloud chamber at a temperature of 20°C, particle tracks are made visible by causing condensation on ions by an approximately reversible adiabatic expansion of the volume in the ratio (final volume)/(initial volume) = 1.375 to 1. The ratio of the specific heats of th... | D | Physics |
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{
"role": "user",
"content": "Saponification of ethyl acetate $ (CH_3COOC_2H_5 ) $ $ NaOH $ (Saponification of ethyl acetate by NaOH is second order Rxn ) is studied by titration of the reaction mixture initially having $1 : 1 $ molar ratio of the reactants . If $ 10\\, mL\\, of\\, 1 N $ $HCI$ is required b... | D | Chemistry |
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{
"role": "user",
"content": "When 4.90 g of KCLO_3 was heated, it showed a weight loss of 0.384 g. Find the percent of the original KCLO_3 that had decomposed.\n\n(A) 20%\n(B) 50%\n(C) 7.84%\n(D) 25%\n(E) 30%\n(F) 18%\n(G) 10%\n(H) 15%\n(I) 35%\n(J) 40%\n\nPlease write your final answer in the form of \\bo... | A | Chemistry |
fd35ad212e8e43ebb6f8a1ee45744cd9 | [
{
"role": "user",
"content": "Calculate the % p-character in the orbital occupied by the lone pairs in water molecules :\n[Given : $\\angle\\, HOH$ is $104.5^{\\circ}$ and cos $(104.5)\\, =\\, -0.25$]\n\n(A) 60%\n(B) 65%\n(C) 73%\n(D) 72%\n(E) $75$%\n(F) $70$%\n(G) $80$%\n(H) 74%\n(I) 68%\n(J) $20$%\n\nPlea... | F | Chemistry |
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{
"role": "user",
"content": "Which of the following statements most accurately explains why the 1H spectrum of 12CHCl3 is a singlet?\n\n(A) The hydrogen atom has a magnetic dipole moment.\n(B) The molecule is rigid.\n(C) Both 35Cl and 37Cl have magnetic dipole moments.\n(D) Both 35Cl and 37Cl have electric... | D | Chemistry |
ddec69e6c74e42619d4ea52bde0f6c6d | [
{
"role": "user",
"content": "Given ∆H = 2800 kJ for the production of one mole of C_6H_12O_6 from CO_2 and H_2O, calculate what wavelength of light would be needed per molecule of CO_2 to achieve this photosynthesis in a one-step process.\n\n(A) 2000 \\AA\n(B) 4100 Å\n(C) 3500 \\AA\n(D) 6000 Å\n(E) 1800 Å\... | H | Chemistry |
f1c3e9e27aab42a0901b59f4e1d6d289 | [
{
"role": "user",
"content": "50 gm ice at -$10^{0}C$ is mixed with 20 gm steam at $100^{0}C$. When the mixture finally reachesd its steady state inside a calorimeter of water equivalent 1.5 gm then:[Assume calorimeter was initially at $0^{0}C$, Take latent heat of vaporization of water =540 cal/gm, Latent ... | H | Physics |
84a407fd3165418c9f962dfebec760a5 | [
{
"role": "user",
"content": "Find the magnetic energy associated with unit length of an infinitely long straight wire of radius a carrying a current I.\n\n(A) dependent on the size of the conductor\n(B) Constant for all wire sizes and currents\n(C) Dependent on the material of the conductor\n(D) Proportion... | J | Physics |
2052a5427f6241a7896a00e3981c155a | [
{
"role": "user",
"content": "For two types of cells with significantly different cell cycle durations, what is typically the most distinct phase between them?\n\n(A) Metaphase\n(B) M phase\n(C) G₂ phase\n(D) S phase\n(E) G₁ Phase\n(F) Prophase\n(G) Cytokinesis\n(H) Telophase\n(I) Quiescent phase\n(J) Inter... | E | Biology |
f3c340bb2e8246a9b7eee31bf162404c | [
{
"role": "user",
"content": "The direction of natural processes is from states of\n\n(A) chaos to equilibrium\n(B) disorder to equilibrium\n(C) disorder to organization\n(D) equilibrium to higher order\n(E) higher order to lower order\n(F) lower order to higher order\n(G) disorganization to organization\n(... | E | Physics |
d45c0c9b08124787a6aa107be0d56327 | [
{
"role": "user",
"content": "The heat capacity of uranium metal is 0.727 cal deg^-1 mole^-1 at 20° K. Calculate the standard absolute entropy of this substance in cal°K^-1 mole at 20° K.\n\n(A) 0.4846 cal mol^-1K^-1\n(B) 0.2423 cal mol^-1K^-1\n(C) 0.060575 cal mol^-1K^-1\n(D) 0.908 cal mol^-1K^-1\n(E) 0.12... | B | Physics |
e3e9979c29694d6fb0874110e38d4430 | [
{
"role": "user",
"content": "When an equimolar mixture of $Cu_{2}S$ and $CuS$ is titrated with $Ba(MnO_{4})_{2}$ in acidic medium, the final product contains $Cu^{2+}, SO_{2}$ and $Mn^{2+}$. If the molecular weight of $Cu_{2}S, CuS$ and $Ba(MnO_{4})_{2}$ are $M_{1}, M_{2}$ and $M_{3}$ respectively then,\n\... | A | Chemistry |
befcc0c5e9e24948becbd65cba6f379f | [
{
"role": "user",
"content": "Calculate the pH of a 0.25 M solution of the salt ethyl-amine hydrochloride, C_2H_5NH_3CI. The dissociation constant for the base, ethylamine (C_2H_5NH_2) is K_b = 5.6 × 10^-4.\n\n(A) 5.2\n(B) 5.6\n(C) 6.0\n(D) 7.2\n(E) 4.5\n(F) 7.0\n(G) 4.8\n(H) 6.2\n(I) 5.7\n(J) 6.5\n\nPlease... | I | Chemistry |
db7a78b144fe44f9ba7f9074963f3ada | [
{
"role": "user",
"content": "The chemical composition of the biomembrane includes membrane lipids, membrane proteins, and membrane carbohydrates. The most important structural model theory of the biomembrane is the ______ theory.\n\n(A) Liquid Mosaic Concept\n(B) Fluid Mosaic Model\n(C) Fluid Patchwork The... | B | Biology |
fb57476c319b4af28ac29f2ace8a7883 | [
{
"role": "user",
"content": "A chemist has one mole of X atoms. He finds that when half of the X atoms transfer one electron to the other half, 409 kJ must be added. If all of the resulting X^- ions are subsequently converted to X+ ions, an additional 733 kJ must be added. Find the ionization potential, an... | H | Chemistry |
b124decfddf241e0bb6d415ea4847ad4 | [
{
"role": "user",
"content": "A uniform magnetic field $\u000bec{B}=(3\\hat {i}+4\\hat {j}+\\hat {k})$ exists in region of space. A semicircular wire of radius $1\\ m$ carrying current $1\\ A$ having its centre at $(2,\\ 2,\\ 0)$ is placed in $x-y$ plane as shown in figure. The force on semicircular wire wi... | D | Physics |
09a24142e26f4769ba2b92ee76f19f11 | [
{
"role": "user",
"content": "Complete the following nuclear equations. (a) _7N^14 + _2He^4\\rightarrow_8O^17 + ..... (b) _4Be^9 + _2He^4\\rightarrow_6C^12 + ..... (c) _15P^90\\rightarrow_14Si^30 + ..... (d) _1H^3\\rightarrow_2He^3+ .....\n\n(A) Positron, Electron, Proton, Neutron\n(B) Proton, Positron, Neu... | I | Physics |
fbb0e151a53e4ae2a663ec4835a82b0b | [
{
"role": "user",
"content": "Consider the process H_2O(solution,25°C) = H_2O(pure,25°C). If the solution isNaClof concentration m and has an osmo-tic pressure of 2.0atmat 25°C, calculate ∆G_298, the free energy change for the process.\n\n(A) 54 cc -atm\n(B) 18 cc -atm\n(C) 72 cc -atm\n(D) 12 cc-atm\n(E) 65... | J | Chemistry |
7241df03e6994e58bd4b757354d98923 | [
{
"role": "user",
"content": "Calculate the saturation concentration of oxygen in water exposedto dry air at 1 atm. and 25°C. Given the Henry's constantfor dissolved oxygen in water at 25°C = 4.12 × 10^9 [(Pa) / (mole of O_2/total mole of solution)]\n\n(A) 10.2 [(mg of O_2) / (liter of solution)]\n(B) 11.3 ... | C | Chemistry |
b5e70239667f4818af1dd215f4f9c5b2 | [
{
"role": "user",
"content": "There are two identical containers with fixed volumes. One contains ammonia gas and the other contains hydrogen gas (both considered as ideal gases with rigid molecules). Their pressures and temperatures are equal. When 5J of heat is transferred to the hydrogen gas, causing its... | C | Physics |
53e76aa087724e6dafae722f4f896a57 | [
{
"role": "user",
"content": "During meiosis, at what stage does the exchange and recombination of DNA segments between alleles usually occur?\n\n(A) Thin Line Phase\n(B) Dual Chromatid Phase\n(C) Straight Line Period\n(D) Midline Swap Phase\n(E) Terminal stage\n(F) Early Line Period\n(G) Crossing Line Inte... | H | Biology |
c563ba5c960f4c1cbf1adba2e07f8351 | [
{
"role": "user",
"content": "The nuclear model of the atom was proposed based on the results of the alpha particle scattering experiment where _____.\n\n(A) The majority of alpha particles passed through without scattering\n(B) Mainly small-angle scattering with some large-angle scattering\n(C) There was n... | B | Physics |
f6122cee3ea040b9bdc3138d45a8c57a | [
{
"role": "user",
"content": "For a process, $H_2O(s)\\longrightarrow H_2O(l)$ at $273 K$\n\n(A) $$\\,G (ice) = G (water) = 5$$\n(B) $$\\,G (ice) > G (water)$$\n(C) $$\\,G (ice) < G (water)$$\n(D) $$\\,G (ice) = G (water) = 2$$\n(E) $$\\,G (ice) \\neq G (water) = 0$$\n(F) $$\\,G (ice) = G (water) \\neq 0$$... | I | Physics |
39951bbdd66c402bb0036b9dbbdde8a8 | [
{
"role": "user",
"content": "${Cu}^{+} (aq)$ is unstable in solution and undergoes simultaneous oxidation and reduction, according to the reaction:$2{Cu}^{+}(aq)\\rightleftharpoons {Cu}^{2+}(aq)+Cu(s)$choose correct ${E}^{o}$ for above reaction if${E}_{{Cu}^{2+}/Cu}^{o}=0.34V$ and ${E}_{{Cu}^{2+}/{Cu}^{+}}... | I | Chemistry |
21af55aaa8464e46b51f8f7fbec0d4b8 | [
{
"role": "user",
"content": "In order to prepare a solution with pH = 10.0, a strong acid solution with pH = 3.0 and a strong base solution with pH = 12.0 need to be mixed. The volume ratio of acid to base is ().\n\n(A) 9∶1\n(B) 5∶6\n(C) 1∶9\n(D) 7∶1\n(E) 9∶0\n(F) 6∶4\n(G) 4∶5\n(H) 2∶6\n(I) 3∶7\n(J) 8∶2\n\... | A | Chemistry |
fef99aec285d40ab8adc778a6e687f84 | [
{
"role": "user",
"content": "The reagent used to identify the presence of 3- or 5-hydroxy groups in flavonoid compounds is ( ).\n\n(A) iron trichloride\n(B) copper sulfate pentahydrate\n(C) sodium borohydride\n(D) zinc sulfate heptahydrate\n(E) calcium nitrate tetrahydrate\n(F) zirconium oxychloride-citrat... | F | Chemistry |
f60ad9ab13584d2a92e2911b41e76eec | [
{
"role": "user",
"content": "Two identical radiators have a separation of $d = \\dfrac{\\lambda} {4}$ where $\\lambda$ is the wavelength of the waves emitted by either source. The initial phase difference between the source is $\\dfrac{\\lambda}{4}$. Then the intensity on the screen at a distant point situ... | B | Physics |
b5a68679006c46ffa18e56fc4f6c75af | [
{
"role": "user",
"content": "Most bacteriophage capsid proteins are ( ).\n\n(A) Linear formation\n(B) Perfect symmetrical\n(C) Regular formulation\n(D) Circular aggregate\n(E) Irregular molecule\n(F) Fragmented structure\n(G) Symmetrical composite\n(H) Asymmetrical compound\n(I) Uniform composite\n(J) Asym... | G | Biology |
52ae3514eefe46a4a4c6a98a0e70a2cf | [
{
"role": "user",
"content": "What is a type of chemical mutagen known as a supermutagen?\n\n(A) Zinc oxide\n(B) Magnesium sulfate\n(C) Mustard gas\n(D) Nitrite\n(E) Sodium chloride\n(F) Potassium bromide\n(G) Carbon dioxide\n(H) Ethyleneimine\n(I) Beryllium phosphate\n(J) NTG\n\nPlease write your final ans... | J | Chemistry |
3f5e42b1359845f38f29a35902cbbaea | [
{
"role": "user",
"content": "For the harmonic motion of a mass on a spring, the kinetic energy is $K=( 1 / 2 ) m v^{2}$ , and the potential energy is $V=( 1 / 2 ) k_{s} x^{2}$ where $k_{s}$ is the spring constant. Using the conservation of energy find the time-dependent spring displacement, $x ( t )$ is ()... | I | Physics |
18636502615145ac9df9a3bfc531b1eb | [
{
"role": "user",
"content": "What is the specific heat at constant pressure in the coexistence zone of vapor and liquid phases?\n\n(A) ${c_{p}=1}$\n(B) ${c_{p}=\\frac{1}{2}}$\n(C) ${0<c_{p}<\\infty}$\n(D) $c_{p}=0$\n(E) ${c_{p}=\\frac{1}{\\infty}}$\n(F) ${c_{p}\\rightarrow1}$\n(G) ${c_{p}\\rightarrow\\inft... | G | Physics |
24c748289dd34a9781f01ca4ebe11fb2 | [
{
"role": "user",
"content": "In the () method, the energy of an atom is not equal to the sum of the energies of its electron orbitals.\n\n(A) Electrons total more than the energy at atom\n(B) Total orbital power exceeds atomic energy\n(C) Hartree self-consistent field\n(D) The atomic energy matches the orb... | C | Physics |
8a98fdfa04ff43f1bdaa94786fa1ab55 | [
{
"role": "user",
"content": "The proton condition equation for a mixed solution containing 0.10 mol/L HCl and 0.20 mol/L H2SO4 is ( ).\n\n(A) [H+]-0.30 = [OH-]+[SO42-]\n(B) [H+]-0.50 = [OH-]+[SO42-]\n(C) [H+]-0.30 = [Na+]+[SO42-]\n(D) [H+]-0.70 = [OH-]+[SO42-]\n(E) [H+]-0.10 = [OH-]+[SO42-]\n(F) [H+]-0.35 ... | A | Chemistry |
ebbc1e7241954b8189b49f92726ce67a | [
{
"role": "user",
"content": "Derive an expression for the ratio of solubilities of AgCl at two different temperatures; assume that the standard enthalpy of solution of AgCl is independent of temperature in the range of interest.\n\n(A) $$\n\\frac{S^{\\prime}} {S}=\\mathrm{e}^{\\frac{\\Delta H^{\\ominus }} ... | B | Chemistry |
b5e04ddfd6724d1d9c54f883c354a156 | [
{
"role": "user",
"content": "A concave mirror has radius of curvature of $40 cm$. It is at the bottom of a glass that has water filled up to $5 cm$ (see figure). If a small particle is floating on the surface of water, its image as seen, from directly above the glass, is at a distance $d$ from the surface ... | B | Physics |
b9d637b216e54246b83c1c6ea6743516 | [
{
"role": "user",
"content": "When 229 J of energy is supplied as heat to 3.00 mol Ar(g), the temperature of the sample increases by 2.55 K. Calculate the molar heat capacities at constant volume and constant pressure of the gas.\n\n(A) $$\n3 2 \\mathrm{~ J ~ K^{-1} ~ m o l^{-1} ~}\n$$\n$$\n3 7 \\mathrm{~ J... | B | Physics |
66474387b98843b6bbfb0f118308939e | [
{
"role": "user",
"content": "Which of the following ions has the strongest oxidizing power?\n\n(A) Zn2+\n(B) Co3+\n(C) Cu2+\n(D) Fe3+\n(E) [Fe(CN)6]3-\n(F) [NiF6]3-\n(G) Mn3+\n(H) Cr3+\n(I) [Fe(NH3)6]3+\n(J) [FeF6]3-\n\nPlease write your final answer in the form of \\boxed{A}, \\boxed{B}, \\boxed{C}, \\box... | B | Chemistry |
e23489421b4f48f0b8831439554caa64 | [
{
"role": "user",
"content": "Given that the state equation of a certain real gas follows p (V-6) = RT and b is a constant greater than zero, which of the following statements is correct?\n\n(A) The enthalpy of the gas can be calculated without knowing its temperature.\n(B) The gas behaves ideally regardles... | F | Physics |
3197f4d105e847efbe13bbbcc50ff30a | [
{
"role": "user",
"content": "The standard state of a substance used to be defined as 1 atm at the specified temperature. By how much does the current definition of standard chemical potential (at 1 bar differ from its former value at 298.15 K?\n\n(A) $$\n1 8. 5 7 4 \\mathrm{J m o l}^{-1}\n$$\n(B) $$\n2 5. ... | J | Chemistry |
a5583c65c266497db1636ba2223904e2 | [
{
"role": "user",
"content": "Which of the following macroscopic processes can be considered as reversible processes?\n\n(A) At 100°C, ice sublimates directly to steam.\n(B) At 100°C, water boils into steam.\n(C) Under pressure, gas compresses uniformly.\n(D) In sunlight, water evaporates quickly.\n(E) With... | F | Physics |
dbcda39d223f4eebb7cf531425232508 | [
{
"role": "user",
"content": "A sulfate-reducing organism oxidizes formate to CO2 while reducing sulfate to sulfide.\nWhat are the two half-reactions and the balanced complete reaction assuming the appropriate species at pH=9.4?\nHint: look up the dissociation constants for hydrogen sulfide, formate, carbon... | D | Chemistry |
af70e3a6c0404028aaab7fc58365ae31 | [
{
"role": "user",
"content": "The standard enthalpy of combustion of solid phenol, CgH5OH, is -3054 kJ mol-1 at 298 K and its standard molar entropy is 144.0 J $\\mathrm{K}^{-1}$ mol1. Calculate the standard Gibbs energy of formation of phenol at 298 K.\n\n(A) $$\n{-5 1. 0 \\mathrm{~ k J ~ m o l^{-1}}}\n$$\... | F | Chemistry |
743af25e93644e3696f0055d03654713 | [
{
"role": "user",
"content": "Estimate the pH of an aqueous solution of sodium hydrogenoxalate. Under what conditions is this estimate reasonably reliable?\n\n(A) $$\n{6. 8 0}\n$$\n(B) $$\n{2. 7 1}\n$$\n(C) $$\n{4. 1 9}\n$$\n(D) $$\n{3. 9 4}\n$$\n(E) $$\n{1. 4 8}\n$$\n(F) $$\n{8. 5 7}\n$$\n(G) $$\n{9. 0 5}\... | B | Chemistry |
c66952257af846eb8b2e183f6b94545e | [
{
"role": "user",
"content": "There are two solutions, A and B, with equal osmotic pressure, containing 100 mM and 2 mM KCl respectively. The two solutions are separated by a membrane that is permeable to chloride ions but impermeable to potassium ions. Which of the following analyses is correct?\n\n(A) Chl... | C | Chemistry |
0fb66d16c92d4acaba64b3b0ebe08a94 | [
{
"role": "user",
"content": "At 298 K, using the same conductivity cell, the resistance of a $0.0200 \\, \\mathrm{mol \\cdot dm^{-3}}$ KCl aqueous solution is measured to be 100 $\\Omega$, the resistance of a saturated AgCl aqueous solution is $1.00 \\times 10^{5} \\, \\Omega$, and the resistance of distil... | J | Chemistry |
f6463085d73245eeb8f5465fab381643 | [
{
"role": "user",
"content": "The electric field intensity of an electromagnetic wave propagating in a vacuum is given by $E=E_{0} [ \\operatorname{cos} ( \\omega t-k y ) e_{x}-\\operatorname{sin} ( \\omega t-k y ) e_{z} ]$. What is the magnetic field intensity?\n\n(A) $$\n\\boldsymbol{H}={\\frac{E_{0}} {3 ... | J | Physics |
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