MHT-CET 2026 (15 May Shift II), Paper II, Physics & Chemistry question paper

1. A.
   $\cos^{-1}\left(\dfrac{4}{\sqrt{11}}\right)$
2. B.
   $\cos^{-1}\left(\dfrac{3}{\sqrt{17}}\right)$
3. C.
   $\cos^{-1}\left(\dfrac{2}{\sqrt{29}}\right)$
4. D.
   $\cos^{-1}\left(\dfrac{5}{\sqrt{23}}\right)$

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1. A.
   $18\%$
2. B.
   $6\%$
3. C.
   $9\%$
4. D.
   $15\%$

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1. A.
   $5$
2. B.
   $15$
3. C.
   $10$
4. D.
   $8$

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1. A.
   $60\pi,\ 40\sqrt{2}$
2. B.
   $40\pi,\ 60\sqrt{2}$
3. C.
   $120\pi,\ 80\sqrt{2}$
4. D.
   $80\pi,\ 120\sqrt{2}$

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1. A.
   constant
2. B.
   directly proportional to time
3. C.
   inversely proportional to time
4. D.
   directly proportional to square of time

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1. A.
   $8\,m$
2. B.
   $4\,m$
3. C.
   $2\,m$
4. D.
   $16\,m$

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1. A.
   $3$
2. B.
   $3.5$
3. C.
   $4$
4. D.
   $2.5$

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1. A.
   $\dfrac{6}{17}$
2. B.
   $\dfrac{9}{17}$
3. C.
   $\dfrac{8}{9}$
4. D.
   $\dfrac{5}{7}$

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1. A.
   $R\left(\dfrac{K}{1 + K}\right)^2$
2. B.
   $\dfrac{R^2K}{1 + K}$
3. C.
   $\dfrac{RK^2}{1 - K^2}$
4. D.
   $R\left(\dfrac{K}{1 - K}\right)^2$

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1. A.
   $6$ times that of earth's surface
2. B.
   $\dfrac{1}{6}$ that on the earth's surface
3. C.
   equal to that on the earth's surface
4. D.
   zero

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

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1. A.
   $(2 - 2^{2/3})$
2. B.
   $(2 - 2^{1/3})$
3. C.
   $\left(1 + \sqrt{2}\right)$
4. D.
   $\left(\sqrt{2} - 1\right)$

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1. A.
   $\dfrac{A(2\alpha)ms}{\Delta Q}$
2. B.
   $\dfrac{A(2\alpha)\Delta Q}{ms}$
3. C.
   $\dfrac{A\alpha\Delta Q}{ms}$
4. D.
   $\dfrac{A\alpha ms}{\Delta Q}$

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

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1. A.
   $\dfrac{12R}{5}$
2. B.
   $\dfrac{10R}{7}$
3. C.
   $\dfrac{15R}{4}$
4. D.
   $\dfrac{20R}{3}$

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1. A.
   The molar heat capacity is infinite
2. B.
   Work done by the gas equals the increase in internal energy
3. C.
   The molar heat capacity is zero
4. D.
   The internal energy of the gas decreases as the temperature increases

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1. A.
   $\dfrac{(3\gamma - 1)}{(2\gamma - 1)}$
2. B.
   $\dfrac{2}{\gamma - 1}$
3. C.
   $\dfrac{9(\gamma - 1)}{2}$
4. D.
   $\dfrac{25(\gamma - 1)}{2}$

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1. A.
   $6$
2. B.
   $12$
3. C.
   $4$
4. D.
   $16$

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

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1. A.
   $\theta_1\ell_2^2 = \theta_2\ell_1^2$
2. B.
   $\theta_1\ell_1 = \theta_2\ell_2$
3. C.
   $\theta_1\ell_1^2 = \theta_2\ell_2^2$
4. D.
   $\theta_1\ell_2 = \theta_2\ell_1$

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

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

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1. A.
   $25\%$
2. B.
   $20\%$
3. C.
   $-20\%$
4. D.
   $-25\%$

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1. A.
   $200$
2. B.
   $180$
3. C.
   $100$
4. D.
   $80$

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1. A.
   $\dfrac{\sigma(R + r)}{\epsilon_0}$
2. B.
   $\dfrac{\sigma(R - r)}{\epsilon_0}$
3. C.
   $\dfrac{\sigma(R + r)}{2\epsilon_0}$
4. D.
   $\dfrac{\sigma(R + r)}{4\epsilon_0}$

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

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1. A.
   $4$
2. B.
   $16$
3. C.
   $32$
4. D.
   $64$

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1. A.
   $\dfrac{3\epsilon_0}{10}\ F$
2. B.
   $\dfrac{10\epsilon_0}{3}\ F$
3. C.
   $\dfrac{20\epsilon_0}{3}\ F$
4. D.
   $\dfrac{3\epsilon_0}{20}\ F$

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

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1. A.
   $2$
2. B.
   $1.25$
3. C.
   $0.4$
4. D.
   $1.2$

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

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

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1. A.
   $\chi = \dfrac{\mu}{\mu_0} - 1$
2. B.
   $\chi = \dfrac{\mu_r}{\mu_0} + 1$
3. C.
   $\chi = \mu_r + 1$
4. D.
   $\chi = 1 - \dfrac{\mu}{\mu_0}$

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1. A.
   $6.67$
2. B.
   $0.667$
3. C.
   $3.67$
4. D.
   $0.367$

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1. A.
   $1.5$
2. B.
   $15$
3. C.
   $2$
4. D.
   $150$

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1. A.
   its length
2. B.
   the number of turns
3. C.
   the resistance of coil
4. D.
   the square of the number of turns

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1. A.
   $20.2\,V$
2. B.
   $42.4\,V$
3. C.
   $84.8\,V$
4. D.
   $106.9\,V$

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1. A.
   increase in first circuit and decrease in second
2. B.
   increase in both circuits
3. C.
   decrease in both circuits
4. D.
   decrease in first circuit and increase in second

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1. A.
   $5$
2. B.
   $10$
3. C.
   $15$
4. D.
   $20$

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

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1. A.
   $1/3$ cm and $1/5$ cm
2. B.
   $1/5$ cm and $1/7$ cm
3. C.
   $1/3$ cm and $1/7$ cm
4. D.
   $1/6$ cm and $1/9$ cm

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

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1. A.
   zero
2. B.
   $\dfrac{3I_0}{32}$
3. C.
   $\dfrac{3I_0}{8}$
4. D.
   $\dfrac{3I_0}{16}$

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1. A.
   $\dfrac{8\lambda}{3}$
2. B.
   $\dfrac{4\lambda}{3}$
3. C.
   $4\lambda$
4. D.
   $6\lambda$

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1. A.
   $10^{17}$
2. B.
   $10^{16}$
3. C.
   $10^{15}$
4. D.
   $10^{18}$

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1. A.
   $5$
2. B.
   $6$
3. C.
   $7$
4. D.
   $8$

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1. A.
   $\alpha,\ \beta^+,\ \beta$
2. B.
   $\beta^+,\ \alpha,\ \beta$
3. C.
   $\beta,\ \alpha,\ \beta^+$
4. D.
   $\alpha,\ \beta,\ \beta^+$

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1. A.
   $\overline{A + B}$
2. B.
   $\overline{A \cdot B}$
3. C.
   $A \cdot B$
4. D.
   $A + B$

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1. A.
   large number of holes and few electrons
2. B.
   large number of free electrons and few holes
3. C.
   equal number of free electrons and holes
4. D.
   no electrons or holes

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1. A.
   $\dfrac{(V_0 - V_Z)}{R_S}$
2. B.
   $\dfrac{(V_0 - V_Z)}{R_L}$
3. C.
   $\dfrac{V_Z}{R_L}$
4. D.
   $\left(\dfrac{V_0 - V_Z}{R_S}\right) - I_L$

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1. A.
   Rs. $12.56$
2. B.
   Rs. $13.68$
3. C.
   Rs. $14.28$
4. D.
   Rs. $15.42$

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1. A.
   $3,\ 2,\ 1,\ +1/2$
2. B.
   $3,\ 2,\ 0,\ +1/2$
3. C.
   $3,\ 1,\ 0,\ +1/2$
4. D.
   $3,\ 0,\ 1,\ +1/2$

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1. A.
   The oxide that forms acid when combined with water, is acidic oxide.
2. B.
   The oxides showing acidic as well as basic characteristics are amphoteric oxides.
3. C.
   The acidic character of oxides increases, whereas basic character decreases in a period from left to right in the periodic table.
4. D.
   $\mathrm{NO}$, $\mathrm{N_2O}$ and $\mathrm{CO}$ are amphoteric oxides.

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1. A.
   London dispersion forces.
2. B.
   Ion -dipole interactions
3. C.
   intramolecular H bonding
4. D.
   intermolecular H bonding

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

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1. A.
   $\Delta_c H^0(\mathrm{C_2H_2}) = -1290\ \mathrm{kJ\ mol^{-1}}$
2. B.
   $\Delta_c H^0(\mathrm{C_2H_2}) = -645\ \mathrm{kJ\ mol^{-1}}$
3. C.
   $\Delta_c H^0(\mathrm{C_2H_2}) = -1935\ \mathrm{kJ\ mol^{-1}}$
4. D.
   $\Delta_c H^0(\mathrm{C_2H_2}) = -2580\ \mathrm{kJ\ mol^{-1}}$

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1. A.
   $-3458\ J$
2. B.
   $-1729\ J$
3. C.
   $-864.5\ J$
4. D.
   $-2593\ J$

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1. A.
   No work is done during the process.
2. B.
   Heat is transferred, but no mechanical work occurs.
3. C.
   Work done by or on a system exactly equal in magnitude and opposite in sign to a heat transfer.
4. D.
   There is a change in internal energy of the system throughout the process.

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1. A.
   $4.96$
2. B.
   $6.96$
3. C.
   $7.54$
4. D.
   $9.04$

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1. A.
   $2.68 \times 10^{-4}\ g/L$
2. B.
   $2.15 \times 10^{-4}\ g/L$
3. C.
   $1.355 \times 10^{-4}\ g/L$
4. D.
   $4.845 \times 10^{-4}\ g/L$

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1. A.
   $\mathrm{NH_4^+}$
2. B.
   $\mathrm{NH_4OH}$
3. C.
   $\mathrm{NH_2OH}$
4. D.
   $\mathrm{NH_2^-}$

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1. A.
   $+3,\ -3$
2. B.
   $-3,\ +4$
3. C.
   $-4,\ +3$
4. D.
   $+5,\ +3$