MHT-CET 2026 (20 April Shift II), Paper II, Physics & Chemistry question paper

1. A.
   30%
2. B.
   28%
3. C.
   24%
4. D.
   18%

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

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1. A.
   $\pi$
2. B.
   $2\pi$
3. C.
   $3\pi$
4. D.
   $4\pi$

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1. A.
   $4\ \mathrm{m/s^2}$
2. B.
   $8\ \mathrm{m/s^2}$
3. C.
   $16\ \mathrm{m/s^2}$
4. D.
   $40\ \mathrm{m/s^2}$

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

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1. A.
   $1 : 5$
2. B.
   $5 : 1$
3. C.
   $10 : 1$
4. D.
   $1 : 10$

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1. A.
   $5, 8$
2. B.
   $6, 7$
3. C.
   $7, 5$
4. D.
   $4, 3$

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1. A.
   Acceleration due to gravity decreases as we go up or down from earth's surface.
2. B.
   Acceleration due to gravity is same at a height 'h' and depth 'd' from earth's surface, if $h = d$.
3. C.
   Acceleration due to gravity at 640 km above the earth surface decreases by 10% of its value at earth's surface (earth's radius is 6400 km)
4. D.
   There is reduction in acceleration due to gravity at poles due to rotation of earth as the poles are lying on the axis of rotation and do not revolve.

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1. A.
   $\dfrac{h_n}{r_n^2} =$ constant
2. B.
   $\dfrac{h_n}{r_n} =$ constant
3. C.
   $h_nr_n^2 =$ constant
4. D.
   $h_nr_n =$ constant

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

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1. A.
   $\rho Agx$
2. B.
   $2\rho Agx$
3. C.
   $3\rho Agx$
4. D.
   $4\rho Agx$

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

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1. A.
   $420$
2. B.
   $240$
3. C.
   $100$
4. D.
   $24$

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1. A.
   $50R$
2. B.
   $45R$
3. C.
   $40R$
4. D.
   $35R$

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1. A.
   $U_1 < U_2 < U_3$
2. B.
   $U_1 > U_2 > U_3$
3. C.
   $U_1 < U_2 > U_3$
4. D.
   $U_1 > U_2 < U_3$

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1. A.
   $75\ \%$
2. B.
   $50\ \%$
3. C.
   $25\ \%$
4. D.
   $40\ \%$

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1. A.
   $3\gamma$
2. B.
   $3^\gamma$
3. C.
   $3^{(1-\gamma)}$
4. D.
   $3^{(\gamma-1)}$

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1. A.
   The motion is simple harmonic motion with an amplitude $\sqrt[3]{a^2 + b^2}$
2. B.
   The motion is simple harmonic motion with an amplitude $\sqrt{a^2 + b^2}$
3. C.
   The motion is periodic but not simple harmonic motion
4. D.
   The motion is simple harmonic with an amplitude $(a^2 + b^2)$

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1. A.
   $2$
2. B.
   $4$
3. C.
   $6$
4. D.
   $8$

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1. A.
   $\dfrac{2\pi a}{T}$
2. B.
   $\dfrac{4\pi a}{3T}$
3. C.
   $\dfrac{\sqrt{3}\pi^2a}{2T}$
4. D.
   $\dfrac{4\sqrt{2}\,\pi a}{3T}$

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

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1. A.
   $\sqrt{\dfrac{m_1}{m_2}}$
2. B.
   $\sqrt{\dfrac{m_2}{m_1}}$
3. C.
   $\dfrac{m_1}{m_2}$
4. D.
   $\dfrac{m_2}{m_1}$

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

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1. A.
   $12.50$ N
2. B.
   $6.25$ N
3. C.
   $25$ N
4. D.
   $50$ N

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1. A.
   work done on the charge continuously increases.
2. B.
   work is done by the charge.
3. C.
   work done on the charge is constant.
4. D.
   no work is done.

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1. A.
   $\dfrac{4Q}{\pi\epsilon_0r\sqrt{3}}$
2. B.
   $\dfrac{8Q}{\pi\epsilon_0r\sqrt{3}}$
3. C.
   $\dfrac{16Q}{3\pi\epsilon_0r}$
4. D.
   $\dfrac{32Q}{\pi\epsilon_0r\sqrt{3}}$

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1. A.
   A molecule in which centre of mass of positive charges does not coincide with the centre of mass of negative charges is a polar molecule.
2. B.
   They have permanent dipole moment.
3. C.
   They act as tiny electric dipoles.
4. D.
   They have symmetrical shape.

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1. A.
   $R_1 = \sqrt{K}R$
2. B.
   $R_1 = R$
3. C.
   $R_1 = \dfrac{R}{K}$
4. D.
   $R_1 = \dfrac{R}{\sqrt{K}}$

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1. A.
   $8$ m
2. B.
   $10$ m
3. C.
   $6$ m
4. D.
   $4$ m

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1. A.
   $0.7$ A
2. B.
   $1.4$ A
3. C.
   $2.1$ A
4. D.
   $2.8$ A

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1. A.
   decrease with time.
2. B.
   increase and decrease periodically.
3. C.
   remains constant.
4. D.
   increase with time.

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

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1. A.
   $\dfrac{\mu_0i}{4r}$
2. B.
   $\dfrac{\mu_0i}{8r}$
3. C.
   $\dfrac{\mu_0i}{16r}$
4. D.
   $\dfrac{\mu_0i}{20r}$

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1. A.
   $2 \times 10^{+3}$ A/m
2. B.
   $16 \times 10^{+3}$ A/m
3. C.
   $4 \times 10^{+3}$ A/m
4. D.
   $10^{+3}$ A/m

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1. A.
   $0.01$ Wb
2. B.
   $0.02$ Wb
3. C.
   $0.06$ Wb
4. D.
   $0.08$ Wb

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1. A.
   $136.4$ mV
2. B.
   $183.6$ mV
3. C.
   $272.8$ mV
4. D.
   $367.2$ mV

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1. A.
   $\dfrac{1 + 2\pi FCR}{2\pi FC}$
2. B.
   $\dfrac{1 + 2\pi FCR}{4\pi^2F^2C}$
3. C.
   $\dfrac{1 - 2\pi FCR}{4\pi^2F^2C}$
4. D.
   $\dfrac{1 + 2\pi FR}{4\pi^2F^2C}$

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1. A.
   At resonance, current in (B) is less than that in (A)
2. B.
   The r.m.s. current in (B) can be larger than that in (A)
3. C.
   The r.m.s. current in (A) is always equal to that in (B)
4. D.
   The r.m.s. current in (B) can never be larger than that in (A)

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1. A.
   $1.6$ A
2. B.
   $1$ A
3. C.
   $0.2$ A
4. D.
   $0.4$ A

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1. A.
   $0.24$ A
2. B.
   $0.2$ A
3. C.
   $0.12$ A
4. D.
   $0.4$ A

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1. A.
   $\delta m = \dfrac{r}{2}$
2. B.
   $\delta m = 2r$
3. C.
   $\delta m = r$
4. D.
   $\delta m = \dfrac{3r}{2}$

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1. A.
   width of the slit
2. B.
   wavelength of light used.
3. C.
   ratio of wavelength and slit width.
4. D.
   distance of the slit from the screen.

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1. A.
   decrease the diameter of the objective lens.
2. B.
   decrease the focal length of the eye-piece.
3. C.
   increase the refractive index of the medium between the object and objective lens.
4. D.
   increase the wavelength of light.

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1. A.
   $3\left(\dfrac{\sqrt{2} - 1}{\sqrt{2}}\right)\lambda$
2. B.
   $\dfrac{3}{\sqrt{2}}\lambda$
3. C.
   $3\sqrt{2}\lambda$
4. D.
   $3\left(\dfrac{\sqrt{2} + 1}{\sqrt{2}}\right)\lambda$

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

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

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1. A.
   Radius of an atom
2. B.
   Kinetic energy
3. C.
   Potential energy
4. D.
   Angular momentum

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1. A.
   $\dfrac{1}{16}$
2. B.
   $\dfrac{1}{32}$
3. C.
   $\dfrac{1}{256}$
4. D.
   $\dfrac{1}{128}$

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1. A.
   $Y$ exists when $A$ or $B$ exists but not when both $A$ and $B$ exist.
2. B.
   $Y$ exists only when $A$ and $B$ both exist.
3. C.
   $Y$ exists when both $A$ and $B$ do not exist.
4. D.
   $Y$ exists when $A$ exists or $B$ exists or both $A$ and $B$ exist

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1. A.
   increases if reverse biased.
2. B.
   increases if forward biased.
3. C.
   decreases if reverse biased.
4. D.
   remains same in reverse and forward biasing.

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1. A.
   $6.022 \times 10^{23}$
2. B.
   $3.011 \times 10^{23}$
3. C.
   $1.505 \times 10^{22}$
4. D.
   $7.527 \times 10^{22}$

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1. A.
   3s and 3p
2. B.
   2p and 4s
3. C.
   3d and 4p
4. D.
   2p and 3p

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1. A.
   (I)- direct (II)- inverse
2. B.
   (I)- direct (II)- direct
3. C.
   (I)-inverse (II)-direct
4. D.
   (I)-inverse (II)-inverse

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1. A.
   $4.0$ bar
2. B.
   $6.0$ bar
3. C.
   $8.0$ bar
4. D.
   $10.0$ bar

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1. A.
   $-70$ kJ
2. B.
   $-111$ kJ
3. C.
   $-170$ kJ
4. D.
   $-85$ kJ

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1. A.
   $1200$ J.
2. B.
   $-1200$ J.
3. C.
   $2400$ J.
4. D.
   $-2400$ J.

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1. A.
   Isothermal expansion of an ideal gas.
2. B.
   Isothrmal compression of an ideal gas.
3. C.
   Adiabatic expansion of an ideal gas.
4. D.
   Adiabatic compression of an ideal gas

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1. A.
   $3.5229$
2. B.
   $4.229$
3. C.
   $3.229$
4. D.
   $3.5223$

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1. A.
   $4.745$
2. B.
   $5.741$
3. C.
   $2.876$
4. D.
   $7.001$

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1. A.
   $1$
2. B.
   $2$
3. C.
   Zero
4. D.
   $7$

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

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1. A.
   $+7$
2. B.
   $+5$
3. C.
   $+3$
4. D.
   $+1$

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

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1. A.
   It is highly water soluble.
2. B.
   It absorbs atmospheric $\mathrm{CO_2}$ to form $\mathrm{Na_2CO_3}$.
3. C.
   the solution of NaOH turns blue litmus red.
4. D.
   NaOH is a white deliquescent solid.

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1. A.
   1, 1 - diethyl - 4 - methoxycyclohexane
2. B.
   1, 1 - dimethyl - 4 - methoxycyclohexane
3. C.
   4, 4 - dimethyl - 1 - methoxycyclohexane
4. D.
   4, 4 - Diethyl - 1 - methoxycyclohexane

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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.
   $\mathrm{R{-}OH, Cl^+, NH_3}$
2. B.
   $\mathrm{H_2O, R_2N^-, H_3O^+}$
3. C.
   $\mathrm{BF_3, SO_3, NO^+}$
4. D.
   $\mathrm{AlCl_3, R{-}NH_2, PCl_3}$

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1. A.
   $\mathrm{Cl{-}Cl \rightarrow Cl^\bullet + Cl^\bullet}$
2. B.
   $\mathrm{CH_3^\bullet + Cl_2 \rightarrow CH_3{-}Cl + Cl^\bullet}$
3. C.
   $\mathrm{CH_3^\bullet + Cl^\bullet \rightarrow CH_3{-}Cl}$
4. D.
   $\mathrm{CH_3^\bullet + CH_3^\bullet \rightarrow CH_3{-}CH_3}$

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1. A.
   $1.0 \times 10^{23}$
2. B.
   $2.0 \times 10^{23}$
3. C.
   $0.5 \times 10^{23}$
4. D.
   $1.5 \times 10^{23}$

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1. A.
   $2.08 \times 10^{-24}\ \mathrm{cm^3}$
2. B.
   $5.92 \times 10^{-24}\ \mathrm{cm^3}$
3. C.
   $8 \times 10^{-24}\ \mathrm{cm^3}$
4. D.
   $3.14 \times 10^{-24}\ \mathrm{cm^3}$

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1. A.
   Substitutional impurity defect
2. B.
   Interstitial impurity defect
3. C.
   Vacancy defect
4. D.
   Schottky defect

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

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1. A.
   $0.201$ atm
2. B.
   $0.245$ atm
3. C.
   $0.082$ atm
4. D.
   $0.41$ atm

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1. A.
   Vapour pressure of solution.
2. B.
   Osmotic pressure of solution.
3. C.
   Boiling point of solution.
4. D.
   Freezing point of solution.

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1. A.
   $0.186$ V
2. B.
   $-0.186$ V
3. C.
   $-0.195$ V
4. D.
   $0.195$ V