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

1. A.
   $P^2 + Q^2$
2. B.
   $P^2 - Q^2$
3. C.
   $2(P^2 + Q^2)$
4. D.
   $2(P^2 - Q^2)$

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1. A.
   $(3.00 \pm 0.010)$ $\mathrm{kg/m^3}$
2. B.
   $(3.00 \pm 0.015)$ $\mathrm{kg/m^3}$
3. C.
   $(3.00 \pm 0.020)$ $\mathrm{kg/m^3}$
4. D.
   $(3.00 \pm 0.045)$ $\mathrm{kg/m^3}$

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

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1. A.
   $\dfrac{AB + BC}{3}$
2. B.
   $\dfrac{AB + AC}{3}$
3. C.
   $\dfrac{AC + BC}{2}$
4. D.
   $\dfrac{AB + BC + AC}{3}$

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1. A.
   $12\,mb^2$
2. B.
   $10\,mb^2$
3. C.
   $8\,mb^2$
4. D.
   $5\,mb^2$

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1. A.
   $6\,mr^2$
2. B.
   $5\,mr^2$
3. C.
   $4\,mr^2$
4. D.
   $3\,mr^2$

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

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

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1. A.
   $1 : 8$
2. B.
   $1 : 16$
3. C.
   $1 : 32$
4. D.
   $1 : 64$

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

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1. A.
   $800$
2. B.
   $1200$
3. C.
   $1600$
4. D.
   $2400$

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1. A.
   $\dfrac{15}{16}R_1$
2. B.
   $\dfrac{11}{16}R_1$
3. C.
   $\dfrac{7}{16}R_1$
4. D.
   $\dfrac{3}{16}R_1$

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

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1. A.
   $A_1K_2 = A_2K_1$
2. B.
   $A_1K_1 = A_2K_2$
3. C.
   $\dfrac{A_1K_1}{C_1} = \dfrac{A_2K_2}{C_2}$
4. D.
   $\dfrac{A_1K_2}{C_1} = \dfrac{A_2K_1}{C_2}$

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1. A.
   $1800$ K
2. B.
   $900$ K
3. C.
   $720$ K
4. D.
   $360$ K

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1. A.
   $72\,R$
2. B.
   $84\,R$
3. C.
   $96\,R$
4. D.
   $108\,R$

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

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1. A.
   $\sqrt{T_1^2 + T_2^2}$
2. B.
   $\sqrt{T_1^2 - T_2^2}$
3. C.
   $T_1 + T_2$
4. D.
   $T_1 - T_2$

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

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

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

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1. A.
   The distance between consecutive antinodes is equal to the wavelength.
2. B.
   In a pipe open at both ends when an air column is vibrated, only even harmonics are present.
3. C.
   When an air column is vibrated in a pipe closed at one end, all harmonics are present.
4. D.
   In the case of a stretched string, when vibrated frequency of the first overtone is same as the second harmonic.

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1. A.
   Drum
2. B.
   Saxophone
3. C.
   Daphali
4. D.
   Xylophone

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1. A.
   $2.25$
2. B.
   $1.96$
3. C.
   $1.5$
4. D.
   $1.4$

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1. A.
   Polar molecules have permanent dipole moment.
2. B.
   A molecule in which centre of mass of positive charges does not coincide with the centre of mass of negative charges is a polar molecule.
3. C.
   Polar molecules have symmetrical shape.
4. D.
   Polar molecules act as tiny electric dipoles.

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1. A.
   $0.6 \times 10^{-2}$ C
2. B.
   $1.2 \times 10^{-2}$ C
3. C.
   $1.8 \times 10^{-2}$ C
4. D.
   $2.4 \times 10^{-2}$ C

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1. A.
   $\dfrac{C_3V}{(C_1 + C_2 + C_3)}$
2. B.
   $\dfrac{(C_1 + C_2)V}{C_3}$
3. C.
   $\dfrac{(C_2 + C_3)V}{C_1 + C_2}$
4. D.
   $\dfrac{(C_1 + C_2)V}{(C_1 + C_2 + C_3)}$

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

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1. A.
   $2.9$ A
2. B.
   $3.9$ A
3. C.
   $6.2$ A
4. D.
   $7.5$ A

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1. A.
   $1000$
2. B.
   $1200$
3. C.
   $1400$
4. D.
   $1600$

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

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

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1. A.
   $P$
2. B.
   $S$
3. C.
   $Q$
4. D.
   $R$

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

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

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

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1. A.
   the current is minimum.
2. B.
   the impedance is maximum.
3. C.
   the current leads the voltage by $\dfrac{\pi}{2}$
4. D.
   the current and voltage are in phase.

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1. A.
   $168$
2. B.
   $200$
3. C.
   $336$
4. D.
   $400$

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1. A.
   greater resolution.
2. B.
   reducing lens aberration.
3. C.
   greater magnification.
4. D.
   ease of manufacture.

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1. A.
   $\dfrac{(\mu_0 - \mu)f}{\mu(\mu_0 - 1)}$
2. B.
   $\dfrac{\mu(\mu_0 - 1)f}{(\mu_0 - \mu)}$
3. C.
   $\dfrac{(\mu - \mu_0)f}{\mu_0(\mu - 1)}$
4. D.
   $\dfrac{\mu_0(\mu - 1)f}{(\mu - \mu_0)}$

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1. A.
   $\dfrac{I_m}{9}\left(1 + 8\cos^2\dfrac{\phi}{2}\right)$
2. B.
   $\dfrac{I_m}{7}\left(3 + 5\cos^2\dfrac{\phi}{2}\right)$
3. C.
   $\dfrac{I_m}{5}\left(1 + 2\cos^2\dfrac{\phi}{2}\right)$
4. D.
   $\dfrac{I_m}{3}\left(1 + 6\cos^2\dfrac{\phi}{2}\right)$

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

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1. A.
   $\dfrac{K\nu_1 - \nu_2}{K - 1}$
2. B.
   $\dfrac{K - 1}{K\nu_1 - \nu_2}$
3. C.
   $\dfrac{K - 3}{K\nu_1 - 3\nu_2}$
4. D.
   $\dfrac{K\nu_1 - 3\nu_2}{K - 3}$

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

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

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1. A.
   $m_{orb} \propto n^2$
2. B.
   $m_{orb} \propto n$
3. C.
   $m_{orb} \propto \dfrac{1}{n^2}$
4. D.
   $m_{orb} \propto \dfrac{1}{n}$

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1. A.
   $45$ hour
2. B.
   $60$ hour
3. C.
   $75$ hour
4. D.
   $90$ hour

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

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1. A.
   forward bias and in parallel with load.
2. B.
   reverse bias and in series with load.
3. C.
   forward bias and in series with load.
4. D.
   reverse bias and in parallel with load.

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1. A.
   $60$ mA
2. B.
   $30$ mA
3. C.
   $20$ mA
4. D.
   $10$ mA

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1. A.
   $2.011 \times 10^{22}$
2. B.
   $3.011 \times 10^{22}$
3. C.
   $6.022 \times 10^{22}$
4. D.
   $0.1 \times 10^{23}$

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1. A.
   $0.98 \times 10^6\ \mathrm{ms^{-1}}$
2. B.
   $1.16 \times 10^6\ \mathrm{ms^{-1}}$
3. C.
   $2.61 \times 10^6\ \mathrm{ms^{-1}}$
4. D.
   $3.77 \times 10^6\ \mathrm{ms^{-1}}$

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1. A.
   Rubidium
2. B.
   Strontium
3. C.
   Caesium
4. D.
   Barium

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1. A.
   $\mathrm{NH_3}$
2. B.
   $\mathrm{H_2O}$
3. C.
   $\mathrm{CHCl_3}$
4. D.
   $\mathrm{BeF_2}$

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1. A.
   $\dfrac{1}{273} \times t$
2. B.
   $1 + 273 \times t$
3. C.
   $1 + \dfrac{t}{273}$
4. D.
   $\dfrac{1}{273 + t}$

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1. A.
   $\Delta H = \sum\Delta H_P - \sum\Delta H_R$
2. B.
   $\Delta H = \sum\Delta H_R - \sum\Delta H_P$
3. C.
   $\Delta H = \sum\Delta H_P + \sum\Delta H_R$
4. D.
   $\Delta H = \dfrac{\sum\Delta H_P}{\sum\Delta H_R}$

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1. A.
   $40$ J
2. B.
   $60$ J
3. C.
   $30$ J
4. D.
   $50$ J

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1. A.
   $-121$ kJ
2. B.
   $-242$ kJ
3. C.
   $121$ kJ
4. D.
   $363$ kJ

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1. A.
   $8.123 \times 10^{-3}$
2. B.
   $8.780 \times 10^{-3}$
3. C.
   $9.252 \times 10^{-3}$
4. D.
   $7.756 \times 10^{-3}$

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1. A.
   Ammonium nitrate
2. B.
   Sodium acetate
3. C.
   Ammonium cyanide
4. D.
   Sodium nitrate

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1. A.
   $\mathrm{Cl_2 + 2H_2O + SO_2 \longrightarrow 4H^+ + SO_4^{2-} + 2Cl^-}$
2. B.
   $\mathrm{Cu^{2+} + Zn \longrightarrow Cu + Zn^{2+}}$
3. C.
   $\mathrm{2H_2 + O_2 \longrightarrow 2H_2O}$
4. D.
   $\mathrm{HCl + H_2O \longrightarrow H_3O^+ + Cl^-}$

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1. A.
   Cristobalite
2. B.
   $\alpha$ - quartz
3. C.
   $\beta$ - quartz
4. D.
   Aragonite

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1. A.
   Chloroethyne
2. B.
   3 - Chloropropyne
3. C.
   1 - Chloropent - 2 - yne
4. D.
   4 - Chloropent - 2 - yne

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1. A.
   Each member of a series has same functional group.
2. B.
   Each member has same type of carbon skeleton.
3. C.
   Each member differs by ethylene group from next member.
4. D.
   All members of series possess similar chemical properties.

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1. A.
   3 - Methyl - 6 - ethyl cycloheptanol
2. B.
   3 - Ethylcyclooctanol
3. C.
   3 - Ethyl - 6 - methylcycloheptanol
4. D.
   1 - Ethyl - 5 - methylcycloheptan - 3 - ol

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1. A.
   Cl
2. B.
   N
3. C.
   S
4. D.
   C

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1. A.
   Chloromethane
2. B.
   Dichloromethane
3. C.
   Trichloromethane
4. D.
   Tetrachloromethane

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1. A.
   Alkanol
2. B.
   Alkanal
3. C.
   Alkanone
4. D.
   Alkanoic acid

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1. A.
   $6.410 \times 10^{-23}\ \mathrm{cm^3}$
2. B.
   $3.625 \times 10^{-23}\ \mathrm{cm^3}$
3. C.
   $5.715 \times 10^{-23}\ \mathrm{cm^3}$
4. D.
   $2.873 \times 10^{-23}\ \mathrm{cm^3}$

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1. A.
   $4.0 \times 10^{21}$
2. B.
   $2.0 \times 10^{21}$
3. C.
   $8.0 \times 10^{21}$
4. D.
   $3.0 \times 10^{21}$

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1. A.
   $0.12$ m
2. B.
   $0.18$ m
3. C.
   $0.08$ m
4. D.
   $0.06$ m

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1. A.
   $1.21$
2. B.
   $1.46$
3. C.
   $1.68$
4. D.
   $1.05$

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