MHT-CET 2026 (15 April Shift II), Paper II, Physics & Chemistry question paper

1. A.
   $\vec{A}\cdot\vec{B} = -\vec{B}\cdot\vec{A}$
2. B.
   $\vec{A} \times \vec{B} = \vec{B} \times \vec{A}$
3. C.
   $\vec{A} + \vec{B} = \vec{B} + \vec{A}$
4. D.
   $\vec{A} - \vec{B} = \vec{B} - \vec{A}$

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1. A.
   $4\%$
2. B.
   $3\%$
3. C.
   $2\%$
4. D.
   $5\%$

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1. A.
   $\dfrac{\sqrt{3}}{2}v$
2. B.
   $\sqrt{3}v$
3. C.
   $\dfrac{v}{2}$
4. D.
   $V$

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1. A.
   $V = \dfrac{r\alpha}{3}$
2. B.
   $V = \alpha\sqrt{\dfrac{r}{2}}$
3. C.
   $V = r\sqrt{\dfrac{\alpha}{3}}$
4. D.
   $V = \sqrt{\dfrac{\alpha r}{3}}$

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1. A.
   $mg$
2. B.
   $\dfrac{mv^2}{R}$
3. C.
   $mg - \dfrac{mv^2}{R}$
4. D.
   $mg + \dfrac{mv^2}{R}$

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1. A.
   $2\pi\sqrt{\dfrac{g}{r}}$
2. B.
   $2\pi\sqrt{\dfrac{r}{g}}$
3. C.
   $2\pi\sqrt{rg}$
4. D.
   $\dfrac{\sqrt{rg}}{2\pi}$

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1. A.
   the total kinetic energy before collision is equal to the total kinetic energy after collision.
2. B.
   the total kinetic energy before collision is less than total kinetic energy after collision.
3. C.
   the total kinetic energy before collision is greater than the total kinetic energy after collision.
4. D.
   coefficient of restitution is equal to zero.

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1. A.
   $\dfrac{1}{\sqrt{10}}$
2. B.
   $\sqrt{10}$
3. C.
   $10$
4. D.
   $10\sqrt{10}$

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1. A.
   $4TL$
2. B.
   $8TL$
3. C.
   $12TL$
4. D.
   $16TL$

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1. A.
   $\theta_1 < \theta_2 < \theta_3$
2. B.
   $\theta_1 > \theta_2 > \theta_3$
3. C.
   $\theta_1 = \theta_2 = \theta_3$
4. D.
   $\theta_1 > \theta_2 < \theta_3$

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1. A.
   $1 : 27$
2. B.
   $1 : 18$
3. C.
   $1 : 9$
4. D.
   $1 : 3$

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1. A.
   $5 : 6$
2. B.
   $6 : 5$
3. C.
   $1 : 3$
4. D.
   $3 : 1$

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1. A.
   $E$
2. B.
   $2E$
3. C.
   $4E$
4. D.
   $8E$

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1. A.
   $\dfrac{256}{81}$
2. B.
   $\dfrac{81}{16}$
3. C.
   $\dfrac{162}{41}$
4. D.
   $\dfrac{16}{81}$

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1. A.
   zero.
2. B.
   equal to the heat given to system.
3. C.
   more than the heat given to system.
4. D.
   independent of heat given to system.

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1. A.
   $\dfrac{eVN}{2R}$
2. B.
   $\dfrac{2eVN}{3R}$
3. C.
   $\dfrac{eVN}{R}$
4. D.
   $\dfrac{3eVN}{4R}$

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1. A.
   $32$ times
2. B.
   $16$ times
3. C.
   $8$ times
4. D.
   $81$ times

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1. A.
   $5\ \mathrm{N/m}, 0.5\ \mathrm{m/s^2}$
2. B.
   $10\ \mathrm{N/m}, 1\ \mathrm{m/s^2}$
3. C.
   $15\ \mathrm{N/m}, 1.5\ \mathrm{m/s^2}$
4. D.
   $20\ \mathrm{N/m}, 2\ \mathrm{m/s^2}$

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1. A.
   zero
2. B.
   $\dfrac{\pi^C}{3}$
3. C.
   $\dfrac{\pi^C}{4}$
4. D.
   $\dfrac{\pi^C}{5}$

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1. A.
   reduce the amplitude of oscillation.
2. B.
   reduce the mass of the bob.
3. C.
   reduce the length of pendulum.
4. D.
   increase the length of pendulum.

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1. A.
   $\dfrac{\pi}{6}$ m
2. B.
   $\dfrac{\pi}{9}$ m
3. C.
   $\dfrac{2\pi}{9}$ m
4. D.
   $\dfrac{\pi}{18}$ m

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

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1. A.
   $100\%$
2. B.
   $40\%$
3. C.
   $96\%$
4. D.
   $140\%$

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1. A.
   $200$ Hz
2. B.
   $300$ Hz
3. C.
   $100$ Hz
4. D.
   $400$ Hz

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

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1. A.
   $\dfrac{+q}{4}$
2. B.
   $\dfrac{+q}{2}$
3. C.
   $\dfrac{-q}{2}$
4. D.
   $\dfrac{-q}{4}$

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1. A.
   $\dfrac{C_1 + C_2}{C_1V}$
2. B.
   $\dfrac{C_1V}{C_1 + C_2}$
3. C.
   $\dfrac{C_1 + C_2}{C_2V}$
4. D.
   $\dfrac{C_2V}{C_1 + C_2}$

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1. A.
   $\dfrac{A\epsilon_0}{d}$
2. B.
   $\dfrac{3A\epsilon_0}{4d}$
3. C.
   $\dfrac{2A\epsilon_0}{3d}$
4. D.
   $\dfrac{A\epsilon_0}{4d}$

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1. A.
   $80$ cm
2. B.
   $60$ cm
3. C.
   $40$ cm
4. D.
   $25$ cm

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1. A.
   $0.25$ V
2. B.
   $0.30$ V
3. C.
   $0.40$ V
4. D.
   $0.80$ V

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1. A.
   $2 \times 10^{-2}$
2. B.
   $2 \times 10^{-3}$
3. C.
   $2 \times 10^{-4}$
4. D.
   $1 \times 10^{-2}$

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1. A.
   mass of the particle
2. B.
   velocity of the particle
3. C.
   magnetic field
4. D.
   charge

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1. A.
   $1 : n$
2. B.
   $n : 1$
3. C.
   $1 : n^2$
4. D.
   $n^2 : 1$

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1. A.
   $\dfrac{\mu_0 q}{2fR}$
2. B.
   $\dfrac{\mu_0 q}{2\pi R}$
3. C.
   $\dfrac{\mu_0 qf}{2R}$
4. D.
   $\dfrac{\mu_0 q\pi}{2fR}$

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1. A.
   $\dfrac{\mu_0\pi r_2}{2r_1}$
2. B.
   $\dfrac{\mu_0\pi r_1^2}{2r_2}$
3. C.
   $\dfrac{\mu_0\pi r_1}{2r_2}$
4. D.
   $\dfrac{\mu_0 r_2^2\pi}{2r_1}$

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

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1. A.
   is increased
2. B.
   is reduced
3. C.
   remain the same
4. D.
   becomes zero

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1. A.
   $\dfrac{f}{3}$
2. B.
   $\dfrac{f}{2}$
3. C.
   $\dfrac{f}{2\sqrt{2}}$
4. D.
   $\dfrac{f}{3\sqrt{3}}$

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1. A.
   the impedance is maximum
2. B.
   the current is minimum
3. C.
   the current leads the voltage by $\dfrac{\pi}{2}$
4. D.
   the current and voltage are in phase

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1. A.
   $\delta_2 = 3\,\delta_1$
2. B.
   $\delta_2 = 5\,\delta_1$
3. C.
   $\delta_2 = 7\,\delta_1$
4. D.
   $\delta_2 = 9\,\delta_1$

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1. A.
   angle of refraction is same for different colours.
2. B.
   angle of refraction is different for different colours.
3. C.
   angle of refraction does not depend upon the colour of the light used.
4. D.
   angle of refraction depends on critical angle.

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1. A.
   $4.9 \times 10^{-4}$ m
2. B.
   $6.3 \times 10^{-4}$ m
3. C.
   $8.6 \times 10^{-4}$ m
4. D.
   $5.8 \times 10^{-4}$ m

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1. A.
   $\dfrac{a}{\lambda}$
2. B.
   $\dfrac{a^2}{\lambda}$
3. C.
   $\dfrac{a}{2\lambda}$
4. D.
   $\dfrac{a^2}{2\lambda}$

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1. A.
   $5\lambda$
2. B.
   $10\lambda$
3. C.
   $11\lambda$
4. D.
   $12\lambda$

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1. A.
   decreases
2. B.
   remains the same
3. C.
   increases
4. D.
   becomes zero

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

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1. A.
   $1 : 2 : 3 : 4$
2. B.
   $\dfrac{1}{2} : \dfrac{1}{3} : \dfrac{1}{4}$
3. C.
   $1 : 4 : 9 : 16$
4. D.
   $\dfrac{1}{4} : \dfrac{1}{9} : \dfrac{1}{16}$

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1. A.
   $1, 1, 1$
2. B.
   $1, 0, 0$
3. C.
   $0, 1, 0$
4. D.
   $0, 0, 1$

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1. A.
   $2$
2. B.
   $1$
3. C.
   $\dfrac{1}{2}$
4. D.
   $\dfrac{1}{4}$

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1. A.
   $2\ \mathrm{k\Omega}$
2. B.
   $3\ \mathrm{k\Omega}$
3. C.
   $4\ \mathrm{k\Omega}$
4. D.
   $6\ \mathrm{k\Omega}$

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1. A.
   $1.06$ g
2. B.
   $3.18$ g
3. C.
   $2.12$ g
4. D.
   $4.16$ g

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1. A.
   $6.022 \times 10^{23}$
2. B.
   $1.2044 \times 10^{23}$
3. C.
   $1.8066 \times 10^{23}$
4. D.
   $1.8044 \times 10^{24}$

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1. A.
   $332$ pm
2. B.
   $313$ pm
3. C.
   $342$ pm
4. D.
   $323$ pm

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1. A.
   $17$
2. B.
   $16$
3. C.
   $18$
4. D.
   $1$

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1. A.
   Single bond and s-s overlap
2. B.
   Double bond and s-p overlap
3. C.
   Triple bond and p-p overlap
4. D.
   Double bond and p-p overlap

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1. A.
   $1.5$ atm
2. B.
   $3.12$ atm
3. C.
   $2.5$ atm
4. D.
   $4.16$ atm

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1. A.
   $1052$ K
2. B.
   $1956$ K
3. C.
   $2568$ K
4. D.
   $2805$ K

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1. A.
   $\Delta H > 0$ and $\Delta S > 0$
2. B.
   $\Delta H < 0$ and $\Delta S > 0$
3. C.
   $\Delta H < 0$ and $\Delta S < 0$
4. D.
   $\Delta H > 0$ and $\Delta S < 0$

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1. A.
   $1$
2. B.
   $-2$
3. C.
   $-1$
4. D.
   $-3$

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1. A.
   $1 \times 10^{-4}$
2. B.
   $1 \times 10^{-6}$
3. C.
   $1 \times 10^{-8}$
4. D.
   $1 \times 10^{-10}$

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1. A.
   $11$
2. B.
   $10$
3. C.
   $12$
4. D.
   $3$

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1. A.
   $[\mathrm{Zn(H_2O)_4}]^{2-}\ \mathrm{NH_3}$
2. B.
   $[\mathrm{Zn(H_2O)_3}]^{2-}$
3. C.
   $[\mathrm{Zn(H_2O)_3OH}]^+$
4. D.
   $[\mathrm{Zn(H_2O)H}]^{3+}$

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1. A.
   $\mathrm{Sn^{2+}}$ is undergoing oxidation.
2. B.
   $\mathrm{Fe^{3+}}$ is undergoing oxidation.
3. C.
   It is not a redox reaction.
4. D.
   Both $\mathrm{Sn^{2+}}$ and $\mathrm{Fe^{3+}}$ are oxidized.

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1. A.
   H
2. B.
   O
3. C.
   Ne
4. D.
   C

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1. A.
   Benzenediamine
2. B.
   Benzene-1,4-diamine
3. C.
   p-Aminoaniline
4. D.
   4-Aminobenzenamine

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1. A.
   Hexanedioc acid
2. B.
   Hexa-2,4-dienoic acid
3. C.
   Penta-1,3-dienoic acid
4. D.
   Pentenedioc acid

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1. A.
   $(A) - (IV), (B) - (III), (C) - (I)$
2. B.
   $(A) - (II), (B) - (IV), (C) - (I)$
3. C.
   $(A) - (I), (B) - (II), (C) - (IV)$
4. D.
   $(A) - (III), (B) - (IV), (C) - (I)$

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1. A.
   $\mathrm{C_6H_6 + NH_3}$
2. B.
   $\mathrm{C_6H_6 + CH_3Cl}$
3. C.
   $\mathrm{C_6H_6 + CH_3COCl}$
4. D.
   $\mathrm{C_6H_6 + CH_4}$

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1. A.
   (A) and (C) only
2. B.
   (A), (B), (C) and (D)
3. C.
   (B) and (D) only
4. D.
   (A) and (B) only

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1. A.
   $2.0 \times 10^{22}$
2. B.
   $1.5 \times 10^{22}$
3. C.
   $2.5 \times 10^{22}$
4. D.
   $1.0 \times 10^{22}$

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1. A.
   Fe
2. B.
   $\mathrm{CH_4}$
3. C.
   $\mathrm{SiO_2}$
4. D.
   KCl

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1. A.
   $3.0\ \mathrm{K\,kg\,mol^{-1}}$
2. B.
   $4.0\ \mathrm{K\,kg\,mol^{-1}}$
3. C.
   $5.0\ \mathrm{K\,kg\,mol^{-1}}$
4. D.
   $6.0\ \mathrm{K\,kg\,mol^{-1}}$

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1. A.
   Elevation in boiling point
2. B.
   Depression in freezing point
3. C.
   Osmotic pressure
4. D.
   Relative lowering of vapour pressure

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1. A.
   $0.01$ M
2. B.
   $0.02$ M
3. C.
   $0.03$ M
4. D.
   $0.04$ M

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1. A.
   $1.64$ V
2. B.
   $-1.64$ V
3. C.
   $1.36$ V
4. D.
   $-1.36$ V

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1. A.
   Potassium hydroxide
2. B.
   Sulphuric acid
3. C.
   Ammonium chloride and zinc chloride
4. D.
   Manganese dioxide

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