MHT-CET 2026 (12 May Shift I), Paper II, Physics & Chemistry question paper

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

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1. A.
   $4\%$
2. B.
   $5\%$
3. C.
   $6\%$
4. D.
   $7\%$

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

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

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1. A.
   $9$
2. B.
   $7$
3. C.
   $5$
4. D.
   $3$

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

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

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1. A.
   $\sqrt{\dfrac{GM}{R}}$
2. B.
   $\sqrt{2\sqrt{2}\dfrac{GM}{R}}$
3. C.
   $v = \sqrt{\dfrac{GM}{R}(1 + 2\sqrt{2})}$
4. D.
   $v = \dfrac{1}{2}\sqrt{\dfrac{GM}{R}(1 + 2\sqrt{2})}$

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1. A.
   $6.8$
2. B.
   $6.3$
3. C.
   $7.1$
4. D.
   $7.2$

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1. A.
   $\dfrac{d_1^2}{d_2^2}\dfrac{1}{F_1}$
2. B.
   $\dfrac{d_1^2}{d_2^2}F_1$
3. C.
   $\dfrac{d_2^2}{d_1^2}\dfrac{1}{F_1}$
4. D.
   $\dfrac{d_2^2}{d_1^2}F_1$

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1. A.
   $0.04\ \dfrac{N}{m}$
2. B.
   $0.05\ \dfrac{N}{m}$
3. C.
   $0.06\ \dfrac{N}{m}$
4. D.
   $0.07\ \dfrac{N}{m}$

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1. A.
   $\dfrac{1}{4} : \dfrac{1}{5} : \dfrac{1}{6}$
2. B.
   $\dfrac{1}{16} : \dfrac{1}{25} : \dfrac{1}{36}$
3. C.
   $\dfrac{1}{64} : \dfrac{1}{125} : \dfrac{1}{216}$
4. D.
   $\dfrac{1}{256} : \dfrac{1}{625} : \dfrac{1}{1296}$

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1. A.
   $60\ ^\circ\mathrm{C}$
2. B.
   $45\ ^\circ\mathrm{C}$
3. C.
   $30\ ^\circ\mathrm{C}$
4. D.
   $20\ ^\circ\mathrm{C}$

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1. A.
   only on intial state of the system.
2. B.
   both on initial and final state of the system.
3. C.
   on the initial state and final state and on the path along which the change takes place.
4. D.
   only on intermediate state.

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1. A.
   for process A to B, heat is lost and internal energy increases.
2. B.
   for process B to C, heat is lost and internal energy increases.
3. C.
   for process C to D, heat is gained and internal energy increases.
4. D.
   for process D to A, heat is gained and internal energy increases.

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1. A.
   $17500$
2. B.
   $18500$
3. C.
   $24500$
4. D.
   $25500$

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1. A.
   decrease by $20\ \%$.
2. B.
   increase by $20\ \%$.
3. C.
   decrease by $25\ \%$.
4. D.
   increase by $25\ \%$

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

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

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1. A.
   $1 : 100$
2. B.
   $1 : 10$
3. C.
   $1 : 1000$
4. D.
   $1 : 1$

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

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

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1. A.
   $13 : 14$
2. B.
   $14 : 13$
3. C.
   $11 : 12$
4. D.
   $12 : 11$

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1. A.
   $400$
2. B.
   $500$
3. C.
   $444$
4. D.
   $555$

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1. A.
   $\dfrac{-9q^2}{8\pi\epsilon_0r}$
2. B.
   $\dfrac{9q^2}{8\pi\epsilon_0r}$
3. C.
   $\dfrac{-7q^2}{16\pi\epsilon_0r}$
4. D.
   $\dfrac{7q^2}{16\pi\epsilon_0r}$

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

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1. A.
   $\dfrac{\epsilon_0A}{(d - t) + \dfrac{t}{2k}}$
2. B.
   $\dfrac{\epsilon_0A}{(d - t) - \dfrac{t}{k}}$
3. C.
   $\dfrac{\epsilon_0A}{(2d - t) - \dfrac{t}{2k}}$
4. D.
   $\dfrac{\epsilon_0A}{(d - 2t) - \dfrac{t}{k}}$

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1. A.
   larger than the external electric field.
2. B.
   less than the external electric field.
3. C.
   equal to the external electric field.
4. D.
   equal to or greater than external electric field.

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1. A.
   first portion of $110$ cm of wire should have a potential difference of $10$ V.
2. B.
   a battery that runs the potentiometer should have a voltage of $5$ V.
3. C.
   a battery that runs the potentiometer should have a voltage of more than $15$ V.
4. D.
   a battery that runs the potentiometer should have a voltage of $10$ V.

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

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

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1. A.
   $(qv\pi r)/(\pi + 2)$
2. B.
   $qvr/3$
3. C.
   $(\pi rqv)/2(\pi + 2)$
4. D.
   $qvr$

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1. A.
   $10\pi m/qB$
2. B.
   $20\pi m/qB$
3. C.
   $\pi m/qB$
4. D.
   $5\pi m/qB$

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1. A.
   $0.05\mu_0\ \mathrm{Wb/m^2}$
2. B.
   $(0.05/8)\mu_0\ \mathrm{Wb/m^2}$
3. C.
   $(0.05/4)\mu_0\ \mathrm{Wb/m^2}$
4. D.
   zero.

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1. A.
   $\dfrac{L_2}{L_1}$
2. B.
   $\dfrac{L_1}{L_2}$
3. C.
   $\dfrac{L_1}{L_2^2}$
4. D.
   $\dfrac{L_2}{L_1^2}$

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1. A.
   $\pi\mu_0r$
2. B.
   $\dfrac{\mu_0\pi r}{4}$
3. C.
   $\dfrac{\mu_0\pi r}{2}$
4. D.
   $\dfrac{\mu_0\pi r}{8}$

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

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1. A.
   $12/11$
2. B.
   $11/12$
3. C.
   $5/12$
4. D.
   $12/5$

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1. A.
   $\dfrac{E_0^2}{20R}$
2. B.
   $\dfrac{E_0^2}{10R}$
3. C.
   $\dfrac{E_0^2}{5R}$
4. D.
   $\dfrac{E_0^2}{2R}$

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1. A.
   $\dfrac{(10)^2}{2\pi}$
2. B.
   $\dfrac{(10)^3}{3\pi}$
3. C.
   $\dfrac{(10)^4}{4\pi}$
4. D.
   $\dfrac{10}{\pi}$

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1. A.
   $280.0$ cm
2. B.
   $13.3$ cm
3. C.
   $21.5$ cm
4. D.
   $40.0$ cm

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1. A.
   increasing the diameter of objective.
2. B.
   decreasing the diameter of the objective
3. C.
   increasing the distance between the objects which have to be seen through the telescope.
4. D.
   decreasing the the distance between the objects which have to be seen through the telescope.

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1. A.
   $\dfrac{1}{2}\sin^{-1}\dfrac{\sqrt{3}}{2}$ and $45^\circ$
2. B.
   $\sin^{-1}\dfrac{\sqrt{3}}{2}$ and $90^\circ$
3. C.
   $\dfrac{1}{2}\cos^{-1}\dfrac{\sqrt{3}}{2}$ and $45^\circ$
4. D.
   $\cos^{-1}\dfrac{\sqrt{3}}{2}$ and $90^\circ$

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1. A.
   $0.86$ mm
2. B.
   $0.96$ mm
3. C.
   $0.86$ cm
4. D.
   $0.96$ cm

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1. A.
   $R = \dfrac{\sqrt{2m(15 - \Phi_0)}}{eB}$
2. B.
   $R = \dfrac{\sqrt{m(10 - \Phi_0)}}{eB}$
3. C.
   $R = \dfrac{\sqrt{2m(10 - \Phi_0)}}{eB}$
4. D.
   $R = \dfrac{\sqrt{2m(10 - \Phi_0)}}{5eB}$

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1. A.
   $n = 5$ to $n = 2$
2. B.
   $n = 2$ to $n = 5$
3. C.
   $n = 2$ to $n = 3$
4. D.
   $n = 3$ to $n = 2$

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1. A.
   a) for first transition:- atomic number $= 83$, mass number $= 216$ b) for the second transition:- atomic number $= 82$, mass number $= 214$
2. B.
   a) for first transition:- atomic number $= 80$, mass number $= 225$ b) for the second transition:- atomic number $= 90$, mass number $= 220$
3. C.
   a) for first transition:- atomic number $= 82$, mass number $= 214$ b) for the second transition:- atomic number $= 93$, mass number $= 228$
4. D.
   a) for first transition:- atomic number $= 80$, mass number $= 214$ b) for the second transition:- atomic number $= 90$, mass number $= 226$

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1. A.
   $(A, B) \to Y$: $00 \to 1,\ 01 \to 1,\ 10 \to 0,\ 11 \to 0$
2. B.
   $(A, B) \to Y$: $00 \to 1,\ 01 \to 0,\ 10 \to 0,\ 11 \to 1$
3. C.
   $(A, B) \to Y$: $00 \to 0,\ 01 \to 1,\ 10 \to 1,\ 11 \to 0$
4. D.
   $(A, B) \to Y$: $00 \to 0,\ 01 \to 0,\ 10 \to 1,\ 11 \to 1$

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1. A.
   junction is hot.
2. B.
   holes and electrons recombine.
3. C.
   depletion region widens.
4. D.
   junction is reverse biased.

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1. A.
   $40\,\Omega$ and $20\,\Omega$
2. B.
   $60\,\Omega$ and $30\,\Omega$
3. C.
   $20\,\Omega$ and $40\,\Omega$
4. D.
   $30\,\Omega$ and $60\,\Omega$

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1. A.
   $14.0$ g of Carbon dioxide.
2. B.
   $2.0$ g of dihydrogen
3. C.
   $12.0$ g of Chromium
4. D.
   $35.5$ g of chlorine gas

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1. A.
   $\mathrm{Na^+, Cl^-, O^-, NO^+}$
2. B.
   $\mathrm{N_2O, N_2O_4, NO^+, NO}$
3. C.
   $\mathrm{Na^+, Mg^{2+}, O^-, F^-}$
4. D.
   $\mathrm{Ca^{2+}, Ar, K^+, Cl^-}$

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1. A.
   $n = 1, l = 0, m = 0, s = +1/2$
2. B.
   $n = 2, l = 1, m = 0, s = -1/2$
3. C.
   $n = 3, l = 1, m = 0, s = -1/2$
4. D.
   $n = 2, l = 2, m = 1, s = +1/2$

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1. A.
   Fluorine
2. B.
   Chlorine
3. C.
   Bromine
4. D.
   Iodine

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1. A.
   $2252\ \mathrm{dm^3}$.
2. B.
   $2450\ \mathrm{dm^3}$.
3. C.
   $2656\ \mathrm{dm^3}$.
4. D.
   $2912\ \mathrm{dm^3}$

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1. A.
   $350$ K
2. B.
   $1500$ K
3. C.
   $105$ K
4. D.
   $1800$ K

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