MHT-CET 2026 (17 April Shift II), Paper II, Physics & Chemistry question paper

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

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

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

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

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

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1. A.
   $\dfrac{11}{15}MR^2$
2. B.
   $\dfrac{13}{20}MR^2$
3. C.
   $\dfrac{23}{45}MR^2$
4. D.
   $\dfrac{47}{45}MR^2$

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

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1. A.
   $\dfrac{V}{3}$
2. B.
   $\dfrac{V}{5}$
3. C.
   $\dfrac{V}{15}$
4. D.
   $\sqrt{15}\,V$

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1. A.
   $x \cdot m$
2. B.
   $\dfrac{m}{x}$
3. C.
   $x^2m$
4. D.
   $(x + 1)m$

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

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

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1. A.
   $\dfrac{2\lambda}{3}$
2. B.
   $\dfrac{2\lambda}{5}$
3. C.
   $\dfrac{4\lambda}{5}$
4. D.
   $\dfrac{16\lambda}{81}$

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

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1. A.
   $374$ K , $310$ K
2. B.
   $384$ K , $320$ K
3. C.
   $384$ K , $340$ K
4. D.
   $320$ K , $256$ K

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

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1. A.
   $35$ K
2. B.
   $40$ K
3. C.
   $45$ K
4. D.
   $50$ K

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1. A.
   $47^\circ$ C
2. B.
   $132^\circ$ C
3. C.
   $320^\circ$ C
4. D.
   $405^\circ$ C

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

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

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

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

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1. A.
   same amplitude and same frequency.
2. B.
   different amplitude but same frequency.
3. C.
   same amplitude but slightly different frequencies.
4. D.
   different amplitude and different frequencies.

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

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1. A.
   $330$ m/s
2. B.
   $313$ m/s
3. C.
   $303$ m/s
4. D.
   $300$ m/s

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

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

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1. A.
   $\dfrac{q_1 - q_2}{C}$
2. B.
   $\dfrac{q_1 + q_2}{C}$
3. C.
   $\dfrac{q_1 - q_2}{2C}$
4. D.
   $\dfrac{q_1 + q_2}{2C}$

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1. A.
   $9C$
2. B.
   $15C$
3. C.
   $18C$
4. D.
   $24C$

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

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1. A.
   $25\,G$
2. B.
   $24\,G$
3. C.
   $\dfrac{G}{24}$
4. D.
   $\dfrac{G}{25}$

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

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1. A.
   $0.1$ tesla
2. B.
   $0.2$ tesla
3. C.
   $0.8$ tesla
4. D.
   $1.6$ tesla

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1. A.
   V increases , $\omega$ decreases.
2. B.
   V increases , $\omega$ remains constant.
3. C.
   only $\omega$ increases , V remains constant.
4. D.
   both $\omega$ and V increase.

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1. A.
   $\dfrac{\mu_0\pi r_1^2}{2\,r_2}$
2. B.
   $\dfrac{\mu_0\pi r_2^2}{2\,r_1}$
3. C.
   $\dfrac{\mu_0\pi(r_1 + r_2)^2}{2\,r_1}$
4. D.
   $\dfrac{\mu_0\pi(r_1 - r_2)^2}{2\,r_2}$

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1. A.
   $0.58$
2. B.
   $0.60$
3. C.
   $0.62$
4. D.
   $0.64$

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1. A.
   $2.24$ V
2. B.
   $2.80$ V
3. C.
   $3.20$ V
4. D.
   $5.60$ V

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

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1. A.
   $I = E_0\omega C\cdot\sin(\omega t)$
2. B.
   $I = E_0\omega C\sin\left(\omega t + \dfrac{\pi}{2}\right)$
3. C.
   $I = \dfrac{E_0}{\omega C}\sin(\omega t)$
4. D.
   $I = \dfrac{E_0}{\omega C}\sin\left(\omega t + \dfrac{\pi}{2}\right)$

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1. A.
   zero
2. B.
   $\dfrac{V_0I_0}{2}$
3. C.
   $\dfrac{\sqrt{3}}{2}V_0I_0$
4. D.
   $\dfrac{V_0I_0}{4}$

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1. A.
   $\sin^{-1}\left(\sqrt{2}\sin 15^\circ\right)$
2. B.
   $\sin^{-1}\left(\dfrac{1}{\sqrt{2}}\sin 15^\circ\right)$
3. C.
   $\sin^{-1}\left(\sqrt{2}\sin 30^\circ\right)$
4. D.
   $\sin^{-1}\left(\dfrac{1}{\sqrt{2}}\sin 45^\circ\right)$

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

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

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1. A.
   large
2. B.
   small
3. C.
   equal
4. D.
   in the ratio $2 : 1$

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

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1. A.
   the photoelectric current increases.
2. B.
   the kinetic energy of emitted photoelectrons increases.
3. C.
   photoelectric current decreases.
4. D.
   kinetic energy of emitted photoelectrons decreases.

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

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1. A.
   $\dfrac{1}{3}\log_e 2$
2. B.
   $3\log_e 2$
3. C.
   $3\log_{10}2$
4. D.
   $\dfrac{3}{\log_e 2}$

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1. A.
   $A = 0, B = 0$
2. B.
   $A = 0, B = 1$
3. C.
   $A = 1, B = 0$
4. D.
   $A = 1, B = 1$

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1. A.
   $\beta\left(\dfrac{r_i}{R_L}\right), \beta^2\left(\dfrac{r_i}{R_L}\right)$
2. B.
   $\beta\left(\dfrac{R_L}{r_i}\right), \beta\left(\dfrac{R_L}{r_i}\right)^2$
3. C.
   $\beta\left(\dfrac{R_L}{r_i}\right), \beta^2\left(\dfrac{R_L}{r_i}\right)$
4. D.
   $\beta\left(\dfrac{r_i}{R_L}\right), \beta\left(\dfrac{r_i}{R_L}\right)^2$

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1. A.
   X is p-type, Y is n-type and the junction is forward biased.
2. B.
   X is p-type, Y is n-type and the junction is reverse biased.
3. C.
   X is n-type, Y is p-type and the junction is forward biased.
4. D.
   X is n-type, Y is p-type and the junction is reverse biased.

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

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1. A.
   $-\dfrac{E}{2}$ J
2. B.
   $-\dfrac{E}{4}$ J
3. C.
   $-\dfrac{E}{9}$ J
4. D.
   $-\dfrac{E}{16}$ J

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1. A.
   It is weaker than sigma bond.
2. B.
   It is formed by lateral overlapping of two half filled P orbitals.
3. C.
   It is formed after the formation of sigma bond.
4. D.
   The presence of Pi $(\pi)$ bond increases the bond length of covalent bond.

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1. A.
   1 _ Lone pair and 2 _ Bond pair of electrons
2. B.
   2 _ Lone pair and 2 _ Bond pair of electrons
3. C.
   2 _ Lone pair and 3 _ Bond pair of electrons
4. D.
   1 _ Lone pair and 3 _ Bond pair of electrons

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1. A.
   $566$ mL
2. B.
   $450$ mL
3. C.
   $350$ mL
4. D.
   $293$ mL

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1. A.
   $5.5$ kJ
2. B.
   $5.0$ kJ
3. C.
   $6.5$ kJ
4. D.
   $6.0$ kJ

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1. A.
   $-503\ \mathrm{kJ\,mol^{-1}}$
2. B.
   $-110\ \mathrm{kJ\,mol^{-1}}$
3. C.
   $-283\ \mathrm{kJ\,mol^{-1}}$
4. D.
   $-383\ \mathrm{kJ\,mol^{-1}}$

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1. A.
   The aqueous NaOH and HCl solutions mixed together.
2. B.
   Formation of ammonia by Haber process.
3. C.
   Ice melts at room temperature.
4. D.
   The freezing of liquid water.

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1. A.
   $2 \times 10^{-15}$
2. B.
   $4 \times 10^{-15}$
3. C.
   $6 \times 10^{-15}$
4. D.
   $8 \times 10^{-15}$

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1. A.
   $0$
2. B.
   $2$
3. C.
   $7$
4. D.
   $10$

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1. A.
   $S = \sqrt[3]{K_{sp} \times 4}$
2. B.
   $S = \sqrt[3]{\dfrac{4}{K_{sp}}}$
3. C.
   $S = \sqrt[3]{\dfrac{K_{sp}}{4}}$
4. D.
   $S = \sqrt[4]{\dfrac{K_{sp}}{27}}$

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1. A.
   $+6, +4$
2. B.
   $+4, +6$
3. C.
   $+4, +3$
4. D.
   $+3, +4$

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1. A.
   Colourless to pale yellow
2. B.
   Reddish pink to pale yellow
3. C.
   Pale yellow to reddish pink
4. D.
   Colourless to reddish pink

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1. A.
   LiCl
2. B.
   $\mathrm{MgCl_2}$
3. C.
   CsCl
4. D.
   $\mathrm{BeCl_2}$

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1. A.
   Methanoic acid
2. B.
   Ethanoic acid
3. C.
   Propanoic acid
4. D.
   Pentanoic acid

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

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1. A.
   Benzal chloride
2. B.
   Benzaldehyde
3. C.
   Benzyl alcohol
4. D.
   Benzoic acid

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1. A.
   Ethene
2. B.
   Ethyne
3. C.
   Propene
4. D.
   Propyne

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1. A.
   $4.05 \times 10^{21}$
2. B.
   $5.12 \times 10^{21}$
3. C.
   $3.03 \times 10^{21}$
4. D.
   $2.47 \times 10^{21}$

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1. A.
   B
2. B.
   In
3. C.
   Ga
4. D.
   P

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1. A.
   $3.08 \times 10^{-23}\ \mathrm{cm^3}$
2. B.
   $4.16 \times 10^{-23}\ \mathrm{cm^3}$
3. C.
   $5.44 \times 10^{-23}\ \mathrm{cm^3}$
4. D.
   $2.56 \times 10^{-23}\ \mathrm{cm^3}$

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1. A.
   $60\ \mathrm{gmol^{-1}}$
2. B.
   $66\ \mathrm{gmol^{-1}}$
3. C.
   $72\ \mathrm{gmol^{-1}}$
4. D.
   $84\ \mathrm{gmol^{-1}}$

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1. A.
   $1.1\ \mathrm{K\,kg\,mol^{-1}}$
2. B.
   $1.6\ \mathrm{K\,kg\,mol^{-1}}$
3. C.
   $2.2\ \mathrm{K\,kg\,mol^{-1}}$
4. D.
   $2.6\ \mathrm{K\,kg\,mol^{-1}}$

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1. A.
   The vapour pressure of a solvent increases by dissolving nonvolatile solute into it.
2. B.
   The boiling point of solvent decreases by dissolving a nonvolatile solute into it.
3. C.
   The osmotic pressure of electrolytic solution is greater than nonelectrolytic solution of the same concentration.
4. D.
   The freezing point of solvent is a colligative properly.

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1. A.
   increases by 1
2. B.
   decreases by 1
3. C.
   increases by 2
4. D.
   decreases by 2

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1. A.
   $\mathrm{CH_3COOH}$
2. B.
   $\mathrm{NH_4OH}$
3. C.
   HCOOH
4. D.
   $\mathrm{CH_3COONa}$