MHT-CET 2026 (13 May Shift II), Paper II, Physics & Chemistry question paper

1. A.
   $3$
2. B.
   $4$
3. C.
   $9$
4. D.
   $13$

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1. A.
   $5\%$
2. B.
   $7\%$
3. C.
   $5.2\%$
4. D.
   $2.5\%$

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

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1. A.
   $k(n + 1)$
2. B.
   $(n + 1)\dfrac{k}{n}$
3. C.
   $k$
4. D.
   $\dfrac{k}{(n + 1)}$

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1. A.
   $\left(\dfrac{L}{2}, \dfrac{2L}{3}\right)$
2. B.
   $\left(\dfrac{L}{4}, \dfrac{2L}{3}\right)$
3. C.
   $\left(\dfrac{L}{6}, \dfrac{2L}{3}\right)$
4. D.
   $\left(\dfrac{L}{6}, \dfrac{L}{3}\right)$

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1. A.
   $\dfrac{\rho L^3}{16\pi^2}$
2. B.
   $\dfrac{\rho L^3}{8\pi^2}$
3. C.
   $\dfrac{5}{16}\rho L^3\pi$
4. D.
   $\dfrac{3\rho L^3}{8\pi^2}$

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1. A.
   $2 : 3$
2. B.
   $2 : 1$
3. C.
   $\sqrt{5} : \sqrt{6}$
4. D.
   $1 : \sqrt{2}$

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1. A.
   $\dfrac{59\pi}{900}$
2. B.
   $\dfrac{59\pi}{1800}$
3. C.
   $\dfrac{59\pi}{2400}$
4. D.
   $\dfrac{59\pi}{3600}$

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1. A.
   $\dfrac{R^2}{r_1r_2}$
2. B.
   $\dfrac{R^3}{r_1r_2^2}$
3. C.
   $\dfrac{R^3}{r_1^2r_2}$
4. D.
   $\dfrac{R^4}{r_1^2r_2^2}$

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1. A.
   $2\pi\sqrt{\dfrac{L\rho}{(\rho - d)g}}$
2. B.
   $2\pi\sqrt{\dfrac{Ld}{\rho g}}$
3. C.
   $2\pi\sqrt{\dfrac{L\rho}{dg}}$
4. D.
   $2\pi\sqrt{\dfrac{Ld}{(\rho - d)g}}$

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

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

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1. A.
   $1 : 16$
2. B.
   $8 : 1$
3. C.
   $1 : 4$
4. D.
   $1 : 64$

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1. A.
   $50$ J
2. B.
   $45$ J
3. C.
   $40$ J
4. D.
   $30$ J

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1. A.
   $1200 : 1$
2. B.
   $900 : 1$
3. C.
   $600 : 1$
4. D.
   $300 : 1$

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1. A.
   $R_1 : R_2 = 3 : 2$
2. B.
   $R_1 : R_2 = 5 : 4$
3. C.
   $R_1 : R_2 = 2 : 3$
4. D.
   $R_1 : R_2 = 4 : 5$

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

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

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1. A.
   $700\ \mathrm{m^3}$
2. B.
   $900\ \mathrm{m^3}$
3. C.
   $1000\ \mathrm{m^3}$
4. D.
   $500\ \mathrm{m^3}$

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1. A.
   $\sqrt{5}$ s
2. B.
   $2\sqrt{5}$ s
3. C.
   $(2 + \sqrt{5})$ s
4. D.
   $2$ s

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1. A.
   $9.42$ m/s
2. B.
   $3.14$ m/s
3. C.
   $1.57$ m/s
4. D.
   $6.28$ m/s

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

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1. A.
   $4$
2. B.
   $13$
3. C.
   $6$
4. D.
   $9$

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

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1. A.
   $-\dfrac{q^2}{8\pi\epsilon_0a}$
2. B.
   $-\dfrac{3q^2}{8\pi\epsilon_0a}$
3. C.
   $-\dfrac{5q^2}{8\pi\epsilon_0a}$
4. D.
   $-\dfrac{7q^2}{8\pi\epsilon_0a}$

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1. A.
   the field is zero but potential is not zero
2. B.
   the field is not zero but potential is zero
3. C.
   both field and potential are zero
4. D.
   both field and potential are not zero

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1. A.
   $\left[\dfrac{4\pi^2mr^3}{kq_1q_2}\right]^{\frac{1}{2}}$
2. B.
   $\left[\dfrac{kq_1q_2}{4\pi^2mr^3}\right]^{\frac{1}{2}}$
3. C.
   $\left[\dfrac{4\pi^2mr^4}{kq_1q_2}\right]^{\frac{1}{2}}$
4. D.
   $\left[\dfrac{4\pi^2mr^2}{kq_1q_2}\right]^{\frac{1}{2}}$

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

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1. A.
   $10^9$
2. B.
   $10^{11}$
3. C.
   $10^{10}$
4. D.
   $10^8$

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1. A.
   $\dfrac{R}{(n - 1)}$
2. B.
   $\dfrac{R}{(n + 1)}$
3. C.
   $\dfrac{R}{n}$
4. D.
   $Rn$

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

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1. A.
   decreasing its radius
2. B.
   decreasing the current through it
3. C.
   increasing its area of cross-section
4. D.
   introducing a medium of higher permeability

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1. A.
   $\dfrac{N}{ML^3}$
2. B.
   $\dfrac{MN}{L^3}$
3. C.
   $\dfrac{M}{NL^3}$
4. D.
   $MNL^3$

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1. A.
   $1.5$
2. B.
   $0.66$
3. C.
   $0.33$
4. D.
   $0.75$

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1. A.
   $80$ mH
2. B.
   $75$ mH
3. C.
   $108$ mH
4. D.
   $90$ mH

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1. A.
   $\dfrac{1}{20}$ A
2. B.
   $20$ A
3. C.
   $100$ A
4. D.
   $2$ A

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1. A.
   $6.66$ A
2. B.
   $6.60$ A
3. C.
   $5.45$ A
4. D.
   $54.5$ A

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1. A.
   twice
2. B.
   half
3. C.
   four times
4. D.
   eight times

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1. A.
   $10$ mA
2. B.
   $20$ mA
3. C.
   $40$ mA
4. D.
   $80$ mA

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1. A.
   $8$ cm
2. B.
   $10.5$ cm
3. C.
   $12$ cm
4. D.
   $14$ cm

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1. A.
   remain unshifted
2. B.
   shift downward by nearly two fringes
3. C.
   shift upward by nearly two fringes
4. D.
   shift downward by 10 fringes

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1. A.
   $1.4$
2. B.
   $2.7$
3. C.
   $4.5$
4. D.
   $6.2$

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1. A.
   $0.2$ mm
2. B.
   $0.1$ mm
3. C.
   $0.5$ mm
4. D.
   $0.02$ mm

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

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1. A.
   will increase
2. B.
   will decrease
3. C.
   will remain constant
4. D.
   will either increase or decrease

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1. A.
   does not radiate light though its velocity changes
2. B.
   does not radiate light and velocity remains unchanged
3. C.
   radiates light but its velocity is unchanged
4. D.
   radiates light with the change of energy

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

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1. A.
   $\beta = 9.0$
2. B.
   the base current is $10$ mA
3. C.
   the emitter current is $1$ mA
4. D.
   $\beta = 0.9$

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1. A.
   AND gate
2. B.
   NAND gate
3. C.
   NOR gate
4. D.
   OR gate

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

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1. A.
   Atoms of nitrogen $= 4.818 \times 10^{23}$ and atoms of sodium $= 3.011 \times 10^{22}$.
2. B.
   Atoms of nitrogen $= 6.022 \times 10^{23}$ and atoms of sodium $= 4.802 \times 10^{22}$.
3. C.
   Atoms of nitrogen $= 1.204 \times 10^{23}$ and atoms of sodium $= 5.604 \times 10^{22}$.
4. D.
   Atoms of nitrogen $= 3.011 \times 10^{23}$ and atoms of sodium $= 1.204 \times 10^{22}$.

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1. A.
   $4.22 \times 10^{-34}$ JS
2. B.
   $2.6504 \times 10^{-34}$ JS
3. C.
   $3.313 \times 10^{-34}$ JS
4. D.
   $1.325 \times 10^{-34}$ JS

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1. A.
   $\mathrm{S}$
2. B.
   $\mathrm{Te}$
3. C.
   $\mathrm{Po}$
4. D.
   $\mathrm{At}$

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1. A.
   Square planar
2. B.
   Trigonal bipyramidal
3. C.
   Distorted octahedral
4. D.
   Square pyramidal

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1. A.
   $252.72\ \mathrm{dm^3}$
2. B.
   $227.91\ \mathrm{dm^3}$
3. C.
   $225.27\ \mathrm{dm^3}$
4. D.
   $272.19\ \mathrm{dm^3}$

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1. A.
   $17.64$ kJ/mol
2. B.
   $35.28$ kJ/mol
3. C.
   $52.92$ kJ/mol
4. D.
   $70.56$ kJ/mol

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1. A.
   $1$
2. B.
   $0.5$
3. C.
   $2$
4. D.
   $3$

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1. A.
   It decreases in spontaneous process.
2. B.
   Change in entropy of sublimation is negative.
3. C.
   It measures randomness.
4. D.
   It is path dependent.

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1. A.
   $\mathrm{C - H}$
2. B.
   $\mathrm{C - C}$
3. C.
   $\mathrm{O - H}$
4. D.
   $\mathrm{C = C}$

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1. A.
   $9$
2. B.
   $10$
3. C.
   $4$
4. D.
   $6$

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1. A.
   $1.8 \times 10^{-6}$
2. B.
   $1.8 \times 10^{-7}$
3. C.
   $1.8 \times 10^{-8}$
4. D.
   $1.8 \times 10^{-9}$

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1. A.
   $\mathrm{H_2O}$
2. B.
   $\mathrm{HCl}$
3. C.
   $\mathrm{NH_3}$
4. D.
   $\mathrm{HCO_3^-}$

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1. A.
   $\mathrm{Ag^+}$
2. B.
   $\mathrm{Li}$
3. C.
   $\mathrm{F_2}$
4. D.
   $\mathrm{Au^+}$

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

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1. A.
   Barium chloride
2. B.
   Barium sulphate
3. C.
   Barium sulphide
4. D.
   Barium nitrate

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1. A.
   $\mathrm{C_2H_5{-}OH}$
2. B.
   $\mathrm{(CH_3)_2CH{-}CH_2{-}Cl}$
3. C.
   $\mathrm{CH_3{-}CH(Cl)C_2H_5}$
4. D.
   $\mathrm{CCl_2F_2}$

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1. A.
   Ethyl alcohol and propanone
2. B.
   Ethene and propyne
3. C.
   n-Butane and isobutane
4. D.
   Ethyl alcohol and dimethyl ether

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1. A.
   Hexachlorobenzene
2. B.
   Benzyl chloride
3. C.
   Benzene hexachloride
4. D.
   Chlorobenzene

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1. A.
   $\mathrm{V_2O_5}$
2. B.
   $\mathrm{Fe}$
3. C.
   Raney Ni
4. D.
   $\mathrm{MnO_2}$