MHT-CET 2026 (18 April Shift I), Paper II, Physics & Chemistry question paper

1. A.
   $\tan^{-1}2\sqrt{13}$, $\tan^{-1}3\sqrt{13}$
2. B.
   $\cos^{-1}\dfrac{2}{\sqrt{13}}$, $\cos^{-1}\dfrac{3}{\sqrt{13}}$
3. C.
   $\cos^{-1}\dfrac{1}{\sqrt{2}}$, $\cos^{-1}\dfrac{1}{\sqrt{3}}$
4. D.
   $\sin^{-1}\dfrac{1}{\sqrt{6}}$, $\sin^{-1}\dfrac{1}{2\sqrt{3}}$

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1. A.
   $1.43\%$, $3.33\%$
2. B.
   $7\%$, $1\%$
3. C.
   $1\%$, $7\%$
4. D.
   $3.33\%$, $1.43\%$

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

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1. A.
   $\dfrac{F}{3}$
2. B.
   $\dfrac{3F}{4}$
3. C.
   $\dfrac{4F}{5}$
4. D.
   $\dfrac{5F}{6}$

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

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1. A.
   $\dfrac{14}{15}$
2. B.
   $\dfrac{15}{14}$
3. C.
   $\dfrac{13}{14}$
4. D.
   $\dfrac{11}{15}$

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

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1. A.
   $\dfrac{h\sqrt{l_h}}{\sqrt{l_s} - \sqrt{l_h}}$
2. B.
   $\dfrac{h\sqrt{l_h}}{\sqrt{l_h} - \sqrt{l_s}}$
3. C.
   $\dfrac{\sqrt{l_h}}{h(\sqrt{l_s} - \sqrt{l_h})}$
4. D.
   $\dfrac{\sqrt{l_s}}{h(\sqrt{l_h} - \sqrt{l_s})}$

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

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1. A.
   $\dfrac{2P_0}{\rho g}$
2. B.
   $\dfrac{P_0}{\rho g}$
3. C.
   $\dfrac{2P_0}{3\rho g}$
4. D.
   $\dfrac{P_0}{2\rho g}$

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1. A.
   viscous force is zero.
2. B.
   buoyant force is equal to force due to gravity
3. C.
   viscous force plus force of gravity becomes equal to buoyant force.
4. D.
   buoyant force plus viscous force becomes equal to force due to gravity.

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1. A.
   $1.96\ \mathrm{m^2}$
2. B.
   $2.94\ \mathrm{m^2}$
3. C.
   $3.92\ \mathrm{m^2}$
4. D.
   $5.88\ \mathrm{m^2}$

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1. A.
   $\left(\dfrac{T_1}{T_2}\right)^2$
2. B.
   $\left(\dfrac{T_1}{T_2}\right)^4$
3. C.
   $\left(\dfrac{T_2}{T_1}\right)^2$
4. D.
   $\left(\dfrac{T_2}{T_1}\right)^4$

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

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1. A.
   Free expansions are adiabatic expansions and there is no exchange of heat between system and environment.
2. B.
   A free expansion can be plotted on a p-V diagram.
3. C.
   There is no work done on the system or by the system.
4. D.
   It is an instantaneous change and the system is not in thermodynamic equilibrium.

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

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1. A.
   $1092$ K , $3u$ m/s
2. B.
   $1092$ K , $\dfrac{u}{3}$ m/s
3. C.
   $819$ K , $\sqrt{3}\,u$ m/s
4. D.
   $819$ K , $\dfrac{u}{\sqrt{3}}$ m/s

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1. A.
   $12\ \mathrm{m^3}$
2. B.
   $6\ \mathrm{m^3}$
3. C.
   $3\ \mathrm{m^3}$
4. D.
   $2\ \mathrm{m^3}$

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1. A.
   $T_a = \sqrt{2}T_b$
2. B.
   $T_b = 2T_a$
3. C.
   $T_a = \dfrac{T_c}{\sqrt{2}}$
4. D.
   $T_b = 2T_c$

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

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1. A.
   $4$, $16 : 9$
2. B.
   $8$, $16 : 9$
3. C.
   $8$, $49 : 1$
4. D.
   $4$, $49 : 1$

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1. A.
   $11 : 6$
2. B.
   $11 : 12$
3. C.
   $6 : 11$
4. D.
   $12 : 11$

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1. A.
   $\dfrac{vL_1}{L(L + L_1)}$
2. B.
   $\dfrac{2vL_1}{L(L + L_1)}$
3. C.
   $\dfrac{2L(L + L_1)}{vL_1}$
4. D.
   $\dfrac{vL_1}{2L(L + L_1)}$

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1. A.
   $4.5$
2. B.
   $5.4$
3. C.
   $6.3$
4. D.
   $7.2$

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

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

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

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

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

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1. A.
   $2.50$ mV
2. B.
   $3$ mV
3. C.
   $3.75$ mV
4. D.
   $4$ mV

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1. A.
   $30\,\Omega$
2. B.
   $40\,\Omega$
3. C.
   $50\,\Omega$
4. D.
   $60\,\Omega$

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1. A.
   $2.6 \times 10^{-5}$
2. B.
   $2.6 \times 10^{-4}$
3. C.
   $2.6 \times 10^{-3}$
4. D.
   $2.6 \times 10^{2}$

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1. A.
   $\dfrac{\mu_0}{4\pi}\dfrac{I}{r}\left(\dfrac{2}{\pi} + 2\right)$
2. B.
   $\dfrac{\mu_0}{4\pi}\dfrac{I}{r}\left(\dfrac{2}{\pi} - 2\right)$
3. C.
   $\dfrac{\mu_0}{4\pi}\dfrac{I}{r}\left(2 + \dfrac{\pi}{2}\right)$
4. D.
   $\dfrac{\mu_0}{4\pi}\dfrac{I}{r}\left(2 - \dfrac{\pi}{2}\right)$

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1. A.
   $\dfrac{x}{27}$
2. B.
   $\dfrac{x}{9}$
3. C.
   $\dfrac{x}{3}$
4. D.
   $3x$

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

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1. A.
   $2\pi$
2. B.
   $3\pi$
3. C.
   $4\pi$
4. D.
   $6\pi$

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1. A.
   $0.20$ H
2. B.
   $2.0$ H
3. C.
   $20$ H
4. D.
   $200$ H

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

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

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1. A.
   $1.8$ cm
2. B.
   $1.5$ cm
3. C.
   $1.2$ cm
4. D.
   $0.6$ cm

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

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1. A.
   $10$
2. B.
   $12$
3. C.
   $16$
4. D.
   $18$

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1. A.
   $4220$
2. B.
   $4530$
3. C.
   $4860$
4. D.
   $5230$

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1. A.
   $40\ \%$
2. B.
   $60\ \%$
3. C.
   $75\ \%$
4. D.
   $80\ \%$

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1. A.
   $\sqrt{\dfrac{h\nu}{2m}}$
2. B.
   $\sqrt{\dfrac{h\nu}{m}}$
3. C.
   $2\left(\sqrt{\dfrac{h\nu}{m}}\right)$
4. D.
   $\sqrt{\dfrac{2h\nu}{m}}$

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

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1. A.
   $4l$
2. B.
   $\left(\dfrac{5}{4}\right)l$
3. C.
   $\left(\dfrac{4}{3}\right)l$
4. D.
   $\left(\dfrac{3}{2}\right)l$

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1. A.
   LED's have long lifetime if properly manufactured.
2. B.
   Colours produced by LED's do not fade out.
3. C.
   LED's are energy efficient.
4. D.
   Brightness of light emitted by LED cannot be controlled.

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

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

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

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1. A.
   Violet
2. B.
   Blue
3. C.
   Yellow
4. D.
   Red

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1. A.
   $-2$
2. B.
   $+2$
3. C.
   $-1$
4. D.
   $0$

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1. A.
   $\mathrm{XeF_4}$
2. B.
   $\mathrm{XeF_6}$
3. C.
   $\mathrm{XeO_3}$
4. D.
   $\mathrm{XeOF_4}$

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1. A.
   $\mathrm{SnCl_2}$
2. B.
   $\mathrm{PbCl_4}$
3. C.
   $\mathrm{SbCl_3}$
4. D.
   $\mathrm{PbCl_2}$

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

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1. A.
   $-85.00$ kJ
2. B.
   $-43.00$ kJ
3. C.
   $-128.00$ kJ
4. D.
   $-170.00$ kJ

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1. A.
   $500$ K
2. B.
   $400$ K
3. C.
   $300$ K
4. D.
   $600$ K

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1. A.
   $\mathrm{W = -Q}$
2. B.
   $\mathrm{-\Delta U = -W}$
3. C.
   $\mathrm{\Delta U = Q_v}$
4. D.
   $\mathrm{Q_p = \Delta U + P_{ext}\Delta V}$

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1. A.
   $\mathrm{BaCl_2}$
2. B.
   KCl
3. C.
   $\mathrm{BeCl_2}$
4. D.
   LiCl

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1. A.
   $1 \times 10^{-12}$
2. B.
   $2 \times 10^{-12}$
3. C.
   $3 \times 10^{-12}$
4. D.
   $4 \times 10^{-18}$

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1. A.
   $4 \times 10^{-1}$ M
2. B.
   $4 \times 10^{-2}$ M
3. C.
   $5 \times 10^{-5}$ M
4. D.
   $1 \times 10^{-4}$ M

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1. A.
   $\mathrm{HPO_3^{2-}}$ and $\mathrm{SO_4^{2-}}$
2. B.
   $\mathrm{HPO_3^{2-}}$ and $\mathrm{HSO_4^-}$
3. C.
   $\mathrm{H_2PO_3^-}$ and $\mathrm{HSO_4^-}$
4. D.
   $\mathrm{PO_3^{3-}}$ and $\mathrm{SO_4^{2-}}$

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1. A.
   Increases by 1
2. B.
   decreases by 1
3. C.
   Increases by 2
4. D.
   decreases by 2

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1. A.
   $\mathrm{Sn_2O_3}$
2. B.
   $\mathrm{SnO_2}$
3. C.
   $\mathrm{SnO_4}$
4. D.
   SnO

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1. A.
   Methanoic acid
2. B.
   Ethanoic acid
3. C.
   Propanoic acid
4. D.
   Butanoic acidaa

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

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1. A.
   $\mathrm{(CH_3)_2CH - CH_2 - Cl}$
2. B.
   $\mathrm{(CH_3)_3C - CH_2 - Cl}$
3. C.
   $\mathrm{(CH_3)_2CH - \underset{\displaystyle CH_3}{\underset{|}{CH}} - Cl}$
4. D.
   $\mathrm{CH_3 - CH_2 - \underset{\displaystyle Cl}{\underset{|}{CH}} - CH_3}$

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1. A.
   $1.504 \times 10^{22}$
2. B.
   $3.419 \times 10^{22}$
3. C.
   $2.516 \times 10^{22}$
4. D.
   $2.018 \times 10^{22}$

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1. A.
   $3.172 \times 10^{-23}\ \mathrm{cm^3}$
2. B.
   $3.911 \times 10^{-23}\ \mathrm{cm^3}$
3. C.
   $1.664 \times 10^{-23}\ \mathrm{cm^3}$
4. D.
   $2.051 \times 10^{-23}\ \mathrm{cm^3}$

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