MHT-CET 2024 (9 May Shift 1), Paper II, Physics & Chemistry question paper

1. A.
   Zero
2. B.
   23 s
3. C.
   4 s
4. D.
   infinite

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1. A.
   $n = n_0\frac{V+V_L}{V-V_S}$
2. B.
   $n = n_0\frac{V-V_L}{V+V_S}$
3. C.
   $n = n_0\frac{V-V_L}{V-V_S}$
4. D.
   $n = n_0\frac{V+V_L}{V+V_S}$

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1. A.
   All the molecules of a gas are identical.
2. B.
   Collisions between the molecules of a gas and that of the molecules with the walls of the container are perfectly elastic.
3. C.
   The molecules do not exert appreciable force on one another except during collision.
4. D.
   The pressure exerted by a gas is due to the collision between the molecules of the gas.

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1. A.
   1:3
2. B.
   1:9
3. C.
   27:1
4. D.
   1:27

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1. A.
   isothermal
2. B.
   isobaric
3. C.
   isochoric
4. D.
   adiabatic

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1. A.
   $3:2$
2. B.
   $2:3$
3. C.
   $2:9$
4. D.
   $9:2$

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1. A.
   $9:4$
2. B.
   $4:9$
3. C.
   $9:36$
4. D.
   $2:3$

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1. A.
   12 mV
2. B.
   7 mV
3. C.
   19 mV
4. D.
   19 V

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1. A.
   6 W
2. B.
   9 W
3. C.
   12 W
4. D.
   24 W

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1. A.
   $\sqrt{\frac{2eV}{m}}$
2. B.
   $\sqrt{\frac{2Vm}{eB^2}}$
3. C.
   $\sqrt{\frac{2Vm}{eB}}$
4. D.
   $\sqrt{\frac{2Vm}{e^2B}}$

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1. A.
   16.5
2. B.
   17.5
3. C.
   18.5
4. D.
   15.5

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1. A.
   $\frac{1}{11}I$
2. B.
   $\frac{2}{11}I$
3. C.
   $\frac{1}{10}I$
4. D.
   $\frac{1}{5}I$

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1. A.
   velocity is maximum and pressure is minimum.
2. B.
   pressure is maximum and velocity is minimum.
3. C.
   both pressure and velocity are minimum.
4. D.
   both pressure and velocity are maximum.

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1. A.
   1 m
2. B.
   0.36 m
3. C.
   0.4 m
4. D.
   0.6 m

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1. A.
   $\frac{Q}{2\pi\epsilon_0 R}$
2. B.
   $\frac{3Q}{2\pi\epsilon_0 R}$
3. C.
   $\frac{3Q}{4\pi\epsilon_0 R^2}$
4. D.
   $\frac{4Q}{2\pi\epsilon_0 R^2}$

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1. A.
   7.5
2. B.
   3
3. C.
   4
4. D.
   5

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1. A.
   OR
2. B.
   AND
3. C.
   NOR
4. D.
   NAND

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1. A.
   Zero
2. B.
   $\frac{GMm}{4L^2\pi^2}$
3. C.
   $\frac{4\pi^2 GMm}{L}$
4. D.
   $\frac{2GMm}{L^2}$

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1. A.
   $\frac{I_0}{2}$
2. B.
   $\frac{I_0}{\sqrt{2}}$
3. C.
   $\sqrt{2}I_0$
4. D.
   $2I_0$

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1. A.
   1:1
2. B.
   1:2
3. C.
   2:1
4. D.
   4:1

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1. A.
   4 P
2. B.
   $32 P$
3. C.
   8 P
4. D.
   $\frac{1}{4}P$

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1. A.
   $\frac{3RC}{27}$
2. B.
   $\frac{RC}{25}$
3. C.
   $\frac{8RC}{9}$
4. D.
   $\frac{5RC}{36}$

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1. A.
   300 N
2. B.
   250 N
3. C.
   200 N
4. D.
   150 N

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1. A.
   $\frac{1 + X}{2}$
2. B.
   $1+\frac{X}{2}$
3. C.
   $1+\frac{2}{X}$
4. D.
   $1+\frac{1}{X}$

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1. A.
   3 mm
2. B.
   8 mm
3. C.
   5 mm
4. D.
   8 mm

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1. A.
   $n\pi r$
2. B.
   $\frac{\pi r}{n}$
3. C.
   $\frac{nr}{2\pi}$
4. D.
   $\frac{2\pi r}{n}$

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1. A.
   $R=\frac{r_1+r_2}{2}$
2. B.
   $R=\frac{r_1 r_1}{r_2+r_2}$
3. C.
   $R=\sqrt{r_1^2+r_2^2}$
4. D.
   $R=r_1+r_2$

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1. A.
   $\frac{4L_1}{3}$
2. B.
   $\frac{4L_1}{3}\sqrt{\frac{\rho_1}{\rho_2}}$
3. C.
   $\frac{4L_1}{3}\sqrt{\frac{\rho_2}{\rho_1}}$
4. D.
   $\frac{3}{4}L_1\sqrt{\frac{\rho_1}{\rho_2}}$

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1. A.
   1:1
2. B.
   $\sqrt{3}:1$
3. C.
   $\sqrt{6}:1$
4. D.
   $1:\sqrt{3}$

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1. A.
   spherical aberration
2. B.
   distortion
3. C.
   coma
4. D.
   chromatic aberration

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1. A.
   $\frac{7}{2}$
2. B.
   $\frac{5}{2}$
3. C.
   $\frac{7}{3}$
4. D.
   $\frac{5}{4}$

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1. A.
   0.2 A
2. B.
   0.02 A
3. C.
   0.01 A
4. D.
   2 A

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1. A.
   $\frac{V}{6}$
2. B.
   $\frac{3V}{2}$
3. C.
   $3V$
4. D.
   $6V$

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1. A.
   $d_1:d_2$
2. B.
   $d_2:d_1$
3. C.
   $1:d_1d_2$
4. D.
   $1:d_1^2d_2$

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1. A.
   1:1
2. B.
   1:2
3. C.
   2:1
4. D.
   1:4

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1. A.
   $\frac{a \pm b}{ab}$
2. B.
   $\frac{\sqrt{a} \pm \sqrt{b}}{ab}$
3. C.
   $\frac{\sqrt{a} \pm \sqrt{b}}{\sqrt{ab}}$
4. D.
   $\sqrt{\frac{a + b}{ab}}$

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1. A.
   $\frac{U_1-U_2}{x}$
2. B.
   $\frac{v_1-v_2}{x-1}$
3. C.
   $\frac{xv_1-v_2}{x-1}$
4. D.
   $\frac{xv_2-v_1}{x}$

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1. A.
   high retentivity & high coercivity
2. B.
   low retentivity & low coercivity
3. C.
   high retentivity & low coercivity
4. D.
   low retentivity & high coercivity

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1. A.
   $n_h < n_e$
2. B.
   $n_h = n_e$
3. C.
   $n_h = \frac{n_e}{2}$
4. D.
   $n_h > n_e$

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1. A.
   directly proportional to current flowing through the coil.
2. B.
   directly proportional to the length.
3. C.
   directly proportional to its area of cross-section.
4. D.
   inversely proportional to the area of cross-section.

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1. A.
   increase in brightness.
2. B.
   decrease in brightness
3. C.
   increase, reach a maximum and then decrease in brightness
4. D.
   show no change in brightness.

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1. A.
   4:1
2. B.
   3:2
3. C.
   2:1
4. D.
   1:1

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1. A.
   $n=n_1+n_2+n_3$
2. B.
   $n=\sqrt{n_1+n_2+n_3}$
3. C.
   $\frac{1}{n}=\frac{1}{n_1}+\frac{1}{n_2}+\frac{1}{n_3}$
4. D.
   $\frac{1}{\sqrt{n}}=\frac{1}{\sqrt{n_1}}+\frac{1}{\sqrt{n_2}}+\frac{1}{\sqrt{n_3}}$

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1. A.
   $\sin^{-1}\left(\frac{3}{4}\right)$
2. B.
   $\sin^{-1}\left(\frac{2}{3}\right)$
3. C.
   $\sin^{-1}\left(\frac{1}{2}\right)$
4. D.
   $\sin^{-1}\left(\frac{1}{4}\right)$

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1. A.
   The intensity and width of the central maximum are unaffected.
2. B.
   The intensity remains same and angular width becomes half.
3. C.
   The intensity and angular width both are doubled.
4. D.
   The intensity increases by a factor 4 and the angular width decreases by a factor of 1/2

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1. A.
   $\frac{U_0}{K}$
2. B.
   $\frac{U_0}{K^2}$
3. C.
   $U_0 K^2$
4. D.
   $\frac{U_0}{2}$

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1. A.
   200 W
2. B.
   0 W
3. C.
   40 W
4. D.
   1000 W

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1. A.
   2l cm from left end.
2. B.
   l cm from left end.
3. C.
   l/2 cm from left end
4. D.
   l/4 cm from left end

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1. A.
   is a constant.
2. B.
   decreases with time.
3. C.
   increases with time.
4. D.
   first increases and then decreases, finally having same value as at the beginning.

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1. A.
   $2\sin\frac{A}{2}$
2. B.
   $2\tan A$
3. C.
   $2\cos A$
4. D.
   $2\sin A$

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1. A.
   Iron
2. B.
   vanadium pentaoxide
3. C.
   Nickel
4. D.
   Cobalt

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1. A.
   Se
2. B.
   Br
3. C.
   Xe
4. D.
   Kr

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1. A.
   52.4%
2. B.
   68.0%
3. C.
   32.0%
4. D.
   74.0%

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1. A.
   PVC
2. B.
   Polyisobutylene
3. C.
   Polyacrylonitrile
4. D.
   Teflon

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1. A.
   $SO_2$
2. B.
   $SF_6$
3. C.
   $NH_3$
4. D.
   $SF_4$

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1. A.
   $-k$
2. B.
   $k$
3. C.
   $\frac{k}{2.303}$
4. D.
   $\frac{-k}{2.303}$

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1. A.
   $H_2O$
2. B.
   $H_2S$
3. C.
   $H_2Se$
4. D.
   $H_2Te$

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1. A.
   5
2. B.
   3
3. C.
   4
4. D.
   Zero

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1. A.
   $2.06056\times10^{-22}\,g$
2. B.
   $1.66056\times10^{-23}\,g$
3. C.
   $1.06056\times10^{-24}\,g$
4. D.
   $3.66056\times10^{-25}\,g$

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1. A.
   8.1 ampere
2. B.
   6.4 ampere
3. C.
   10.5 ampere
4. D.
   12.3 ampere

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1. A.
   $-173.7\,kJ$
2. B.
   $-225.3\,kJ$
3. C.
   $-100.2\,kJ$
4. D.
   $-290.8\,kJ$

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1. A.
   $27419.3\,cm^{-1}$
2. B.
   $109677.0\,cm^{-1}$
3. C.
   $12064.5\,cm^{-1}$
4. D.
   $82257.8\,cm^{-1}$

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1. A.
   o-nitrophenol
2. B.
   p-nitrophenol
3. C.
   2,4,6-trinitrophenol
4. D.
   Mixture of ortho and para-nitrophenol

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1. A.
   Structure of material surface
2. B.
   Crystal structure
3. C.
   Binding nature
4. D.
   Particle size

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1. A.
   3.0
2. B.
   4.0
3. C.
   5.0
4. D.
   2.0

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1. A.
   Structure (a)
2. B.
   Structure (b)
3. C.
   Structure (c)
4. D.
   Structure (d)

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1. A.
   $0.74\,kJ\,mol^{-1}$
2. B.
   $0.82\,kJ\,mol^{-1}$
3. C.
   $0.21\,kJ\,mol^{-1}$
4. D.
   $-0.44\,kJ\,mol^{-1}$

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1. A.
   $KNO_3$
2. B.
   $NaNO_3$
3. C.
   $AgNO_2$
4. D.
   $KNO_2$

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1. A.
   $270\,g\,mol^{-1}$
2. B.
   $260\,g\,mol^{-1}$
3. C.
   $250\,g\,mol^{-1}$
4. D.
   $240\,g\,mol^{-1}$

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1. A.
   Methanoic acid
2. B.
   Ethanoic acid
3. C.
   Methanol
4. D.
   Ethanol

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1. A.
   $H_2(g)+Br_2(g)\longrightarrow 2HBr(g)$
2. B.
   $2CO(g)+O_2(g)\longrightarrow 2CO_2(g)$
3. C.
   $PCl_5(g)\longrightarrow PCl_3(g)+Cl_2(g)$
4. D.
   $C(s)+2H_2O(s)\longrightarrow 2H_2(g)+CO_2(g)$

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1. A.
   Ethane
2. B.
   Propane
3. C.
   Butane
4. D.
   Hexane

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1. A.
   Ammonia
2. B.
   Hydrogen
3. C.
   Hydrogen chloride
4. D.
   Chlorine

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1. A.
   2-Bromopropane
2. B.
   2-Bromo-2-methylbutane
3. C.
   2-Bromo-3-methylbutane
4. D.
   3-Bromopentane

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1. A.
   $C_2$ and $C_5$
2. B.
   $C_1$ and $C_3$
3. C.
   $C_1$ and $C_4$
4. D.
   $C_1$ and $C_5$

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1. A.
   3.87 BM
2. B.
   4.90 BM
3. C.
   2.84 BM
4. D.
   1.73 BM

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1. A.
   1-methylbut-2-en-1-amine
2. B.
   Pent-3-en-2-amine
3. C.
   Pent-2-en-4-amine
4. D.
   4-Methylbut-2-en-4-amine

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1. A.
   $6.022\times10^{23}$
2. B.
   $1.204\times10^{24}$
3. C.
   $9.033\times10^{23}$
4. D.
   $3.011\times10^{23}$

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1. A.
   Pauli's exclusion principle
2. B.
   Hund's rule
3. C.
   Aufbau rule
4. D.
   Heisenberg uncertainty principle

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1. A.
   $9.0\,mol^{-2}dm^{6}s^{-1}$
2. B.
   $18.0\,mol^{-2}dm^{6}s^{-1}$
3. C.
   $4.5\,mol^{-2}dm^{6}s^{-1}$
4. D.
   $16.0\,mol^{-2}dm^{6}s^{-1}$

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1. A.
   $-2$ and $+6$
2. B.
   $-1$ and $+3$
3. C.
   $+2$ and $+2$
4. D.
   $-2$ and $+3$

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1. A.
   $3n$
2. B.
   $6n$
3. C.
   $4n$
4. D.
   $n$

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1. A.
   All alkali metals are silvery white.
2. B.
   Density of potassium is less than sodium.
3. C.
   Compounds of group-1 elements are diamagnetic.
4. D.
   Melting point of group-1 elements increase down the group.

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1. A.
   200 J
2. B.
   232 J
3. C.
   432 J
4. D.
   632 J

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1. A.
   Molality
2. B.
   Molarity
3. C.
   Mole fraction
4. D.
   Percent by mass

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1. A.
   +4
2. B.
   +5
3. C.
   +4, +5
4. D.
   +2, +3

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1. A.
   546 K
2. B.
   273 K
3. C.
   2730 K
4. D.
   5460 K