MHT-CET 2026 (14 May Shift I), Paper II, Physics & Chemistry question paper

1. A.
   $3$
2. B.
   $\sqrt{3.6}$
3. C.
   $6$
4. D.
   $4$

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1. A.
   $2\%$
2. B.
   $3\%$
3. C.
   $4\%$
4. D.
   $7.5\%$

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1. A.
   $\left(\dfrac{2H}{g}\right)^{\frac{1}{2}}$
2. B.
   $\dfrac{2(2H\sin\theta)^{\frac{1}{2}}}{g}$
3. C.
   $2\left(\dfrac{2H}{g}\right)^{\frac{1}{2}}$
4. D.
   $\dfrac{(2H\sin\theta)^{\frac{1}{2}}}{g}$

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1. A.
   $9$ N-s
2. B.
   zero
3. C.
   $0.9$ N-s
4. D.
   $1.8$ N-s

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1. A.
   $\left[\dfrac{(I_1 + I_2)}{I_1I_2}\right]$
2. B.
   $\dfrac{I_1I_2}{(I_1 - I_2)}$
3. C.
   $\dfrac{(I_1 - I_2)}{I_1I_2}$
4. D.
   $\dfrac{I_1I_2}{(I_1 + I_2)}$

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1. A.
   zero
2. B.
   $\dfrac{mvh^2}{\sqrt{2}}$
3. C.
   $\dfrac{mv^2h}{\sqrt{2}}$
4. D.
   $\dfrac{mvh}{\sqrt{2}}$

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1. A.
   $5R$
2. B.
   $\sqrt{\dfrac{22}{5}}R$
3. C.
   $\dfrac{5R}{2}$
4. D.
   $\sqrt{\dfrac{12}{5}}R$

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1. A.
   $V = -\dfrac{G}{d}(m + M)$
2. B.
   $V = -\dfrac{Gm}{d}$
3. C.
   $V = -\dfrac{GM}{d}$
4. D.
   $V = -\dfrac{G}{d}(\sqrt{m} + \sqrt{M})^2$

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1. A.
   $60$
2. B.
   $70$
3. C.
   $80$
4. D.
   $90$

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1. A.
   $4 : 3$
2. B.
   $64 : 27$
3. C.
   $16 : 9$
4. D.
   $9 : 16$

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1. A.
   a lift going upward with a certain acceleration
2. B.
   accelerating train
3. C.
   a satellite rotating close to earth
4. D.
   a lift going down with acceleration less than '$g$'

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1. A.
   $18.8$ mm
2. B.
   $9.2$ mm
3. C.
   $7.4$ cm
4. D.
   $4.5$ cm

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1. A.
   $5.67 \times 10^{8}\ W/m^2$
2. B.
   $5.67 \times 10^{-12}\ W/m^2$
3. C.
   $10.67 \times 10^{7}\ W/m^2$
4. D.
   $10.67 \times 10^{11}\ W/m^2$

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

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1. A.
   $PV^{3/2} =$ constant
2. B.
   $PV^{4/3} =$ constant
3. C.
   $PV^{1/2} =$ constant
4. D.
   $PV^2 =$ constant

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1. A.
   $2423$ J
2. B.
   $2089$ J
3. C.
   $167$ J
4. D.
   $2256$ J

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1. A.
   $x$
2. B.
   $\dfrac{10x}{283}$
3. C.
   $283x$
4. D.
   $\dfrac{283x}{383}$

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1. A.
   $2\pi$ m/s
2. B.
   $\pi$ m/s
3. C.
   $\left(\dfrac{1}{2\pi}\right)$ m/s
4. D.
   $\dfrac{1}{4\pi}\ m/s$

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1. A.
   amplitude of oscillation is nearly $4$ m
2. B.
   minimum potential energy of the particle is $4$ J
3. C.
   maximum acceleration of the particle is $2\pi\ \mathrm{m/s^2}$
4. D.
   Minimum kinetic energy of the particle is $2$ J

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1. A.
   $2\pi$ cm/s
2. B.
   $4\pi$ cm/s
3. C.
   $8\pi$ cm/s
4. D.
   $16\pi$ cm/s

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1. A.
   $0.5\%$
2. B.
   $0\%$
3. C.
   $20\%$
4. D.
   $5\%$

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

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1. A.
   $\dfrac{n_1n_2}{n_2 + 2n_1}$
2. B.
   $\dfrac{n_1n_2}{2n_2 + n_1}$
3. C.
   $\dfrac{n_1 + 2n_2}{n_1n_2}$
4. D.
   $\dfrac{2n_1 + n_2}{n_1n_2}$

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1. A.
   $y = \sin(x - 2t)$
2. B.
   $y = \sin(2\pi x - 2\pi t)$
3. C.
   $y = \sin(10\pi x - 20\pi t)$
4. D.
   $y = \sin(2\pi x + 2\pi t)$

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1. A.
   $\dfrac{\phi_2 - \phi_1}{\varepsilon_0}$
2. B.
   $\dfrac{\phi_1 + \phi_2}{\varepsilon_0}$
3. C.
   $\varepsilon_0(\phi_1 - \phi_2)$
4. D.
   $\varepsilon_0(\phi_2 - \phi_1)$

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1. A.
   $1 \times 10^{-10}$ J
2. B.
   $2 \times 10^{-10}$ J
3. C.
   $5 \times 10^{-10}$ J
4. D.
   $6 \times 10^{-10}$ J

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1. A.
   $\dfrac{2\varepsilon_0d}{A}\left(\dfrac{K_1 + K_2}{K_1K_2}\right)$
2. B.
   $2C\left(\dfrac{K_1K_2}{K_1 + K_2}\right)$
3. C.
   $\dfrac{2\varepsilon_0d}{A}(K_1 + K_2)$
4. D.
   $2C\left(\dfrac{K_1 + K_2}{K_1K_2}\right)$

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1. A.
   increases
2. B.
   decreases
3. C.
   is constant
4. D.
   is zero

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1. A.
   $700\,\Omega$
2. B.
   $800\,\Omega$
3. C.
   $900\,\Omega$
4. D.
   $100\,\Omega$

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

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

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1. A.
   $120^\circ$
2. B.
   $60^\circ$
3. C.
   $180^\circ$
4. D.
   $90^\circ$

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1. A.
   $\dfrac{\mu_0nA}{4\pi ir^3}$
2. B.
   $\dfrac{2\mu_0niA}{4\pi r^3}$
3. C.
   $\dfrac{2\mu_0ni}{4\pi Ar^3}$
4. D.
   $\dfrac{\mu_0niA}{4\pi r^3}$

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1. A.
   $5\ \mu V$
2. B.
   $5$ mV
3. C.
   $50\ \mu V$
4. D.
   $50$ mV

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1. A.
   $10$ mH
2. B.
   $15$ mH
3. C.
   $25$ mH
4. D.
   $5$ mH

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1. A.
   $4$ mH
2. B.
   $4$ H
3. C.
   $40$ H
4. D.
   $0.4$ H

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1. A.
   frequency of a.c. source is decreased
2. B.
   number of turns in the coil is reduced
3. C.
   an iron rod is inserted in the coil
4. D.
   a capacitance of reactance $X_c$ is included in the same circuit

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1. A.
   $X_c$ is halved and $I$ is doubled
2. B.
   $X_c$ is doubled, $I$ is halved
3. C.
   Both $X_c$ and $I$ are halved
4. D.
   Both $X_c$ and $I$ are doubled

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1. A.
   $0.2$ s
2. B.
   $0.25$ s
3. C.
   $25 \times 10^{-3}$ s
4. D.
   $2.5 \times 10^{-3}$ s

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1. A.
   $F_1 > F_2$
2. B.
   $F_1 < F_2$
3. C.
   $F_1 = F_2$
4. D.
   $F \le F_2$

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

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1. A.
   $\dfrac{\lambda}{4(\mu - 1)}$
2. B.
   $\dfrac{3\lambda}{4(\mu - 1)}$
3. C.
   $\dfrac{\lambda}{(\mu - 1)}$
4. D.
   $\dfrac{\lambda}{2(\mu - 1)}$

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

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1. A.
   their momenta are the same
2. B.
   their energies are the same
3. C.
   momenta of A is less than the momenta of B
4. D.
   energy of A is more than energy of B

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1. A.
   is proportional to mass
2. B.
   is proportional to momentum
3. C.
   is inversely proportional to momentum
4. D.
   does not depend on momentum

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

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1. A.
   $\left(\dfrac{1}{27}\right)$ of the original value
2. B.
   $\left(\dfrac{1}{9}\right)$ of the original value
3. C.
   $\left(\dfrac{1}{18}\right)$ of the original value
4. D.
   $\left(\dfrac{1}{3}\right)$ of the original value

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1. A.
   electric field is zero
2. B.
   potential is infinite
3. C.
   electric field is maximum
4. D.
   potential is zero

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1. A.
   $\beta(R_L/r)$ and $\beta^2(R_L/r)$
2. B.
   $\beta(r/R_L)$ and $\beta^2(r/R_L)$
3. C.
   $\beta(R_L/r)$ and $\beta(R_L/r)^2$
4. D.
   $\beta(r/R_L)$ and $\beta(r/R_L)^2$

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1. A.
   $66$
2. B.
   $67$
3. C.
   $69$
4. D.
   $71$

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1. A.
   $18$ grams of water
2. B.
   $24$ grams of dioxygen
3. C.
   $22$ grams of carbon dioxide
4. D.
   $16$ grams of methane

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1. A.
   Diamond and Fullerene
2. B.
   $\beta$ - Quartz and Cristobalite
3. C.
   Sodium fluoride and Magnesium oxide
4. D.
   Calcite and Aragonite

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1. A.
   Both have trigonal pyramidal geometry and one lone pair of electrons on the central atom.
2. B.
   Both have tetrahedral geometry and one lone pair of electrons on the central atom.
3. C.
   Both have trigonal pyramidal geometry and no lone pair of electrons on the central atom.
4. D.
   Both have trigonal bipyramidal geometry and only $\mathrm{NH_3}$ has one lone pair of electrons on the central atom.

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1. A.
   $1.96\ \mathrm{dm^3}$
2. B.
   $1.50\ \mathrm{dm^3}$
3. C.
   $1.34\ \mathrm{dm^3}$
4. D.
   $1.18\ \mathrm{dm^3}$

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

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1. A.
   $24.0$ kJ
2. B.
   $-35.5$ kJ
3. C.
   $96.0$ kJ
4. D.
   $-57.5$ kJ

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1. A.
   $\mathrm{Na_{(g)} \rightarrow Na^+_{(g)}}$
2. B.
   $\mathrm{Cl_{(g)} \rightarrow Cl^-_{(g)}}$
3. C.
   $\mathrm{Cl_{2(g)} \rightarrow Cl_{(g)} + Cl_{(g)}}$
4. D.
   $\mathrm{NaCl_{(s)} + aq. \rightarrow Na^+_{(aq)} + Cl^-_{(aq)}}$

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1. A.
   $\mathrm{HCl}$
2. B.
   $\mathrm{HF}$
3. C.
   $\mathrm{HBr}$
4. D.
   $\mathrm{HI}$

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1. A.
   $3 - \log 2$
2. B.
   $14 - \log 2$
3. C.
   $11 + \log 2$
4. D.
   $11 - \log 2$

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1. A.
   $K_{sp} = [\mathrm{Ca^{2+}}]^2[\mathrm{PO_4^{3-}}]^2$
2. B.
   $K_{SP} = [\mathrm{Ca^{3+}}]^2[\mathrm{PO_4^{2-}}]^3$
3. C.
   $K_{SP} = [\mathrm{Ca^{2+}}]^2[\mathrm{PO_4^{2-}}]^3$
4. D.
   $K_{SP} = [\mathrm{Ca^{2+}}]^3[\mathrm{PO_4^{3-}}]^2$

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1. A.
   Distilled water
2. B.
   $1\mathrm{M\ NH_3}$
3. C.
   $1\mathrm{M\ NaOH}$
4. D.
   $1\mathrm{M\ CH_3COOH}$

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

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1. A.
   Barium
2. B.
   Calcium
3. C.
   Magnesium
4. D.
   Beryllium

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1. A.
   Aliphatic aldehyde
2. B.
   Aromatic aldehyde
3. C.
   Dialdehyde
4. D.
   Hemiacetal compound

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1. A.
   It has same functional group and the successive members differ by $\mathrm{-CH_2-}$group.
2. B.
   It possesses the same physical properties.
3. C.
   It has compounds with the same number of carbon atoms.
4. D.
   It has members of various functional groups.

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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.
   $9.931 \times 10^{-23}\ \mathrm{cm^3}$
2. B.
   $7.452 \times 10^{-25}\ \mathrm{cm^3}$
3. C.
   $2.615 \times 10^{-25}\ \mathrm{cm^3}$
4. D.
   $1.677 \times 10^{-23}\ \mathrm{cm^3}$