MHT-CET 2026 (19 May Shift II), Paper II, Physics & Chemistry question paper

1. A.
   $49\sqrt{2}$
2. B.
   $7\sqrt{2}$
3. C.
   $14\sqrt{2}$
4. D.
   $9\sqrt{2}$

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1. A.
   $2\%$
2. B.
   $2.55\%$
3. C.
   $3\%$
4. D.
   $3.55\%$

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1. A.
   zero
2. B.
   $\dfrac{1}{270}$ cm/s
3. C.
   $\dfrac{1}{180}$ cm/s
4. D.
   $\dfrac{1}{90}$ cm/s

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1. A.
   $\dfrac{8}{3}$
2. B.
   $\dfrac{4}{3}$
3. C.
   $\dfrac{3}{8}$
4. D.
   $\dfrac{3}{4}$

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1. A.
   $t^{1/2}$
2. B.
   $t^{3/4}$
3. C.
   $t^{3/2}$
4. D.
   $t^2$

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

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1. A.
   $\sqrt{\dfrac{6g}{l}}\cos\dfrac{\theta}{2}$
2. B.
   $\sqrt{\dfrac{6g}{l}}\sin\theta$
3. C.
   $\sqrt{\dfrac{6g}{l}}\sin\dfrac{\theta}{2}$
4. D.
   $\sqrt{\dfrac{6g}{l}}\cos\theta$

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

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1. A.
   $\dfrac{3GMm}{8R}$
2. B.
   $\dfrac{5GMm}{4R}$
3. C.
   $\dfrac{3GMm}{4R}$
4. D.
   $\dfrac{7GMm}{8R}$

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1. A.
   $3$ cm/s
2. B.
   $27$ cm/s
3. C.
   $81$ cm/s
4. D.
   $9$ cm/s

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

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1. A.
   $F_2 = \dfrac{d_2^2}{d_1^2}F_1$
2. B.
   $F_2 = \dfrac{d_1^2}{d_2^2}F_1$
3. C.
   $F_2 = \dfrac{d_2^2}{d_1^2}\dfrac{1}{F_1}$
4. D.
   $F_2 = \dfrac{d_1^2}{d_2^2}\dfrac{1}{F_1}$

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1. A.
   $4/3$
2. B.
   $256/81$
3. C.
   $81/256$
4. D.
   $3/4$

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1. A.
   The change in internal energy in whole cyclic process is $250R$
2. B.
   The change in internal energy in the process CA is $700R$
3. C.
   The change in internal energy in the process AB is $-350R$
4. D.
   The change in internal energy in the process BC is $-500R$

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1. A.
   $100$ W
2. B.
   $300$ W
3. C.
   $900$ W
4. D.
   $1200$ W

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

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1. A.
   $m_A = m_B$
2. B.
   $3m_A = 2m_B$
3. C.
   $3m_A = m_B$
4. D.
   $3m_A = 4m_B$

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1. A.
   decrease continuously until the sphere is empty.
2. B.
   first increase and then decrease to the original value.
3. C.
   remain constant throughout.
4. D.
   increase continuously until the sphere is empty.

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

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1. A.
   maximum potential energy is $100$ J.
2. B.
   maximum kinetic energy is $160$ J.
3. C.
   maximum potential energy is $160$ J.
4. D.
   maximum potential energy is zero.

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1. A.
   $22$ Hz
2. B.
   $33$ Hz
3. C.
   $44$ Hz
4. D.
   $55$ Hz

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1. A.
   $\dfrac{1}{25}$
2. B.
   $5$
3. C.
   $\dfrac{25}{2}$
4. D.
   $25$

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

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1. A.
   $320$ m/s
2. B.
   $330$ m/s
3. C.
   $340$ m/s
4. D.
   $350$ m/s

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

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

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1. A.
   $1 : 4 : 16$
2. B.
   $1 : 3 : 9$
3. C.
   $\dfrac{1}{3} : 3 : 27$
4. D.
   $1 : \dfrac{1}{3} : 9$

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1. A.
   $\dfrac{5A\varepsilon_0}{12d}$
2. B.
   $\dfrac{7A\varepsilon_0}{24d}$
3. C.
   $\dfrac{9A\varepsilon_0}{36d}$
4. D.
   $\dfrac{25A\varepsilon_0}{48d}$

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1. A.
   $70$
2. B.
   $80$
3. C.
   $65$
4. D.
   $30$

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1. A.
   the $3\Omega$ resistance is $0.50$ A.
2. B.
   the $3\Omega$ resistance is $0.25$ A.
3. C.
   the $4\Omega$ resistance is $0.50$ A.
4. D.
   the $4\Omega$ resistance is $0.25$ A.

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1. A.
   $\dfrac{\mu_0 I^2}{6\pi d}$
2. B.
   $\dfrac{\mu_0 I^2}{3\pi d}$
3. C.
   $\dfrac{\mu_0 I}{3\pi d}$
4. D.
   $\dfrac{\mu_0 I}{6\pi d}$

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1. A.
   $\mu_0 I$
2. B.
   $\dfrac{\mu_0 I}{4}$
3. C.
   $\dfrac{\mu_0 I}{2}$
4. D.
   $\dfrac{\mu_0 I}{6}$

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1. A.
   It has low permeability
2. B.
   It has high coercivity
3. C.
   It has high retentivity
4. D.
   It has low retentivity

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1. A.
   $16$ mH
2. B.
   $10$ mH
3. C.
   $6$ mH
4. D.
   $4$ mH

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

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

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1. A.
   $0.25$ A
2. B.
   $0.10$ A
3. C.
   $0.30$ A
4. D.
   $0.20$ A

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1. A.
   the iron core of the inductor should be removed and the value of the capacitor is kept constant.
2. B.
   the dielectric in the capacitor should be removed and the value of the inductor is kept constant.
3. C.
   the generator frequency should be reduced.
4. D.
   another capacitor should be added in parallel to the first capacitor and the value of the inductor is kept constant.

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

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1. A.
   $1$
2. B.
   $\sqrt{2}$
3. C.
   $\sqrt{3}$
4. D.
   $1.5$

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1. A.
   $10$ times taller.
2. B.
   $10$ times nearer.
3. C.
   $20$ times nearer.
4. D.
   $20$ times taller.

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1. A.
   $1$
2. B.
   $\dfrac{4}{3}$
3. C.
   $\dfrac{1}{\sin(i)}$
4. D.
   $\dfrac{4\sin(i)}{3}$

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1. A.
   remains unchanged.
2. B.
   becomes $2$ times the original.
3. C.
   becomes $3$ times the original.
4. D.
   becomes $6$ times the original.

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

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1. A.
   greater than $v\left(\dfrac{4}{3}\right)^{1/2}$
2. B.
   less than $v\left(\dfrac{4}{3}\right)^{1/2}$
3. C.
   equal to $v\left(\dfrac{4}{3}\right)^{1/2}$
4. D.
   equal to $v\left(\dfrac{3}{4}\right)^{1/2}$

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1. A.
   $N_pN_d = \lambda_d\lambda_p$
2. B.
   $(N_p)/(N_d) = (\lambda_p)/(\lambda_d)$
3. C.
   $2N_p\lambda_d = 3N_d\lambda_p$
4. D.
   $N_p\lambda_p = N_d\lambda_d$

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1. A.
   $T\log(1.4)$
2. B.
   $\dfrac{T\log(1.4)}{\log(2)}$
3. C.
   $\dfrac{T\log(2)}{2\log(1.4)}$
4. D.
   $\dfrac{T}{\log(2)}$

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1. A.
   exactly in the middle of the forbidden gap
2. B.
   inside the conduction band
3. C.
   just below the conduction band
4. D.
   just above the valence band

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1. A.
   $0.25$ mA
2. B.
   $25$ mA
3. C.
   $250$ mA
4. D.
   $2500$ mA

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1. A.
   zero and one.
2. B.
   one and zero.
3. C.
   zero and zero.
4. D.
   one and one.

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1. A.
   $15, 15$ and $16$.
2. B.
   $16, 15$ and $15$.
3. C.
   $15, 18$ and $16$.
4. D.
   $16, 15$ and $18$.

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1. A.
   $6.022 \times 10^{23}$
2. B.
   $1.8066 \times 10^{25}$
3. C.
   $6.022 \times 10^{24}$
4. D.
   $1.2044 \times 10^{25}$

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1. A.
   $\mathrm{MF > MCl > MBr > MI}$
2. B.
   $\mathrm{MI > MBr > MCl > MF}$
3. C.
   $\mathrm{MI > MCl > MBr > MF}$
4. D.
   $\mathrm{MF > MBr > MCl > MI}$

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1. A.
   trigonal planar
2. B.
   tetrahedral
3. C.
   bent
4. D.
   T-shape

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1. A.
   $33.2^\circ\mathrm{C}$
2. B.
   $30.98^\circ\mathrm{C}$
3. C.
   $154.3^\circ\mathrm{C}$
4. D.
   $126.0^\circ\mathrm{C}$

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1. A.
   $2.478\ \mathrm{kJ\ K^{-1}}$
2. B.
   $-2.378\ \mathrm{kJ\ K^{-1}}$
3. C.
   $39.58\ \mathrm{kJ\ K^{-1}}$
4. D.
   $44.42\ \mathrm{kJ\ K^{-1}}$

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1. A.
   $1195$ kJ/mol
2. B.
   $-1195$ kJ/mol
3. C.
   $55$ kJ/mol
4. D.
   $-52$ kJ/mol

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1. A.
   $-51.0$ kJ
2. B.
   $-41.0$ kJ
3. C.
   $41.0$ kJ
4. D.
   $51.0$ kJ

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1. A.
   $2.8$
2. B.
   $5.6$
3. C.
   $8.4$
4. D.
   $11.2$

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1. A.
   $5.25 \times 10^{-2}\ \mathrm{g\ dm^{-3}}$.
2. B.
   $1.75 \times 10^{-2}\ \mathrm{g\ dm^{-3}}$
3. C.
   $3.50 \times 10^{-2}\ \mathrm{g\ dm^{-3}}$.
4. D.
   $7.00 \times 10^{-3}\ \mathrm{g\ dm^{-3}}$.

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1. A.
   Aqueous $\mathrm{NaCl}$
2. B.
   Aqueous $\mathrm{KCl}$
3. C.
   Aqueous solution of $\mathrm{CO_2}$
4. D.
   Aqueous $\mathrm{NaOH}$

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1. A.
   $-2$
2. B.
   $-1/2$
3. C.
   $-1$
4. D.
   $-1.5$

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1. A.
   $\mathrm{Mg(OH)_2}$
2. B.
   $\mathrm{Be(OH)_2}$
3. C.
   $\mathrm{Sr(OH)_2}$
4. D.
   $\mathrm{Ca(OH)_2}$