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

1. A.
   $\left[A^2 + B^2 + \dfrac{AB}{\sqrt{3}}\right]^{\frac{1}{2}}$
2. B.
   $A + B$
3. C.
   $(A^2 + B^2 + \sqrt{3}AB)^{\frac{1}{2}}$
4. D.
   $(A^2 + B^2 + AB)^{\frac{1}{2}}$

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1. A.
   $\dfrac{\pi}{43200}$
2. B.
   $\dfrac{\pi}{30}$
3. C.
   $\dfrac{\pi}{21600}$
4. D.
   $\dfrac{\pi}{1800}$

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1. A.
   $10$ m/s
2. B.
   $100$ m/s
3. C.
   $1$ m/s
4. D.
   $5$ m/s

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1. A.
   $\sqrt{V_1^2 - V^2}$
2. B.
   $\sqrt{V^2 - V_1^2}$
3. C.
   $\sqrt{V^2 + V_1^2}$
4. D.
   $\sqrt{V - V_1}$

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1. A.
   $\dfrac{5m\ell^2}{3}$
2. B.
   $\dfrac{2m\ell^2}{3}$
3. C.
   $\dfrac{4m\ell^2}{3}$
4. D.
   $\dfrac{m\ell^2}{12}$

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1. A.
   $\dfrac{L^2\omega^2}{2g}$
2. B.
   $\dfrac{L\omega}{6g}$
3. C.
   $\dfrac{L\omega}{2g}$
4. D.
   $\dfrac{L^2\omega^2}{6g}$

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

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1. A.
   $8$ cm
2. B.
   $10$ cm
3. C.
   $4$ cm
4. D.
   $20$ cm

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1. A.
   $0.4$ m/s
2. B.
   $0.133$ m/s
3. C.
   $0.1$ m/s
4. D.
   $0.2$ m/s

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1. A.
   same as for smaller droplet
2. B.
   half of that for smaller droplet
3. C.
   $\left(\dfrac{1}{4}\right)^{th}$ of that for smaller droplet
4. D.
   twice that for smaller droplet

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1. A.
   $167^\circ\mathrm{C}$
2. B.
   $334^\circ\mathrm{C}$
3. C.
   $500^\circ\mathrm{C}$
4. D.
   $1000^\circ\mathrm{C}$

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1. A.
   $100\%$
2. B.
   $25\%$
3. C.
   $400\%$
4. D.
   $500\%$

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1. A.
   $\Delta U = -W$ in an adiabatic process
2. B.
   $\Delta U = W$ in an isothermal process
3. C.
   $\Delta U = -W$ in an isothermal process
4. D.
   $\Delta U = W$ in an adiabatic process

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1. A.
   $20$ kJ
2. B.
   $-20$ kJ
3. C.
   $20$ J
4. D.
   $-12$ kJ

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1. A.
   $50R$
2. B.
   $60R$
3. C.
   $70R$
4. D.
   $80R$

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1. A.
   $8$ atm.
2. B.
   $11$ atm.
3. C.
   $12$ atm.
4. D.
   $17$ atm.

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

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1. A.
   Amplitude of B greater than A
2. B.
   Amplitude of B is smaller than A
3. C.
   Amplitude of both is equal
4. D.
   Amplitude of A is twice that of B

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1. A.
   $\dfrac{\pi}{4}$
2. B.
   $\dfrac{3\pi}{5}$
3. C.
   $\dfrac{\pi}{6}$
4. D.
   $\dfrac{\pi}{2}$

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1. A.
   $\lambda = \dfrac{1}{6}\ \mathrm{m},\ v = 250\ \dfrac{\mathrm{m}}{\mathrm{s}}$
2. B.
   $a = 0.07\ \mathrm{m},\ v = 500\ \dfrac{\mathrm{m}}{\mathrm{s}}$
3. C.
   $n = 1500\ \mathrm{Hz},\ v = 200\ \dfrac{\mathrm{m}}{\mathrm{s}}$
4. D.
   $\lambda = \dfrac{1}{3}\ \mathrm{m},\ v = 500\ \dfrac{\mathrm{m}}{\mathrm{s}}$

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1. A.
   $0.2$ N
2. B.
   $0.25$ N
3. C.
   $0.225$ N
4. D.
   $0.325$ N

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1. A.
   $f \propto \dfrac{1}{LD}$
2. B.
   $f \propto \dfrac{1}{\ell\sqrt{D}}$
3. C.
   $f \propto \dfrac{1}{D^2}$
4. D.
   $f \propto \dfrac{1}{\ell D^2}$

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1. A.
   $44\%$
2. B.
   $40\%$
3. C.
   $20\%$
4. D.
   $10\%$

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1. A.
   $Q(r + r_1)$
2. B.
   $Q(r - r_1)$
3. C.
   $\dfrac{Q}{(r + r_1)}$
4. D.
   $\dfrac{Qr_1}{(r + r_1)}$

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

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1. A.
   zero
2. B.
   $5$ J
3. C.
   $2$ J
4. D.
   $20$ J

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1. A.
   $F \propto \sqrt{d}$
2. B.
   $F \propto d$
3. C.
   independent of $d$
4. D.
   $F \propto \dfrac{1}{d}$

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1. A.
   In series with $9\ \Omega$
2. B.
   Parallel to $x\ \Omega$
3. C.
   In series with $x\ \Omega$
4. D.
   Parallel to $9\ \Omega$

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1. A.
   $4.9\ \Omega$
2. B.
   $7.9\ \Omega$
3. C.
   $5.9\ \Omega$
4. D.
   $6.9\ \Omega$

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1. A.
   $5\%$
2. B.
   $10\%$
3. C.
   $12\%$
4. D.
   $15\%$

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1. A.
   electron moves in opposite direction of applied magnetic field.
2. B.
   electron moves in the direction of applied magnetic field.
3. C.
   electron moves in the direction of perpendicular direction of magnetic field.
4. D.
   electron remains stationary at the same position.

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

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1. A.
   $V_A - V_O = \dfrac{B\omega L^2}{2}$
2. B.
   $V_O - V_C = \dfrac{7B\omega L^2}{2}$
3. C.
   $V_A - V_C = 4B\omega L^2$
4. D.
   $V_C - V_O = \dfrac{7B\omega L^2}{2}$

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1. A.
   increase in both
2. B.
   decrease in both
3. C.
   remain unchanged
4. D.
   increase in one coil and decrease in second coil

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

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1. A.
   $3.0$
2. B.
   $2.1$
3. C.
   $1.56$
4. D.
   $1.7$

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

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1. A.
   $1000 : 1$
2. B.
   $100 : 1$
3. C.
   $1 : 32$
4. D.
   $32 : 1$

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

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1. A.
   $1.5$
2. B.
   $1.2$
3. C.
   $1.3$
4. D.
   $1.7$

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1. A.
   zero
2. B.
   increase by $6479\ \mathrm{\mathring{A}}$
3. C.
   decrease by $589\ \mathrm{\mathring{A}}$
4. D.
   increase by $589\ \mathrm{\mathring{A}}$

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1. A.
   pushing particles of the medium
2. B.
   propagating through medium with speed of light
3. C.
   carrying particles of same phase along with it
4. D.
   creating secondary wavelets which forms a new wave front

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1. A.
   $-\dfrac{h}{eEt^2}$
2. B.
   $-\dfrac{eEt}{h}$
3. C.
   $-\dfrac{mh}{eEt^2}$
4. D.
   $-\dfrac{h}{eE}$

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1. A.
   $\lambda_1 < \dfrac{\lambda}{2}$
2. B.
   $\lambda_1 > \lambda$
3. C.
   $\lambda_1 > \dfrac{\lambda}{2} < \lambda$
4. D.
   $\lambda_1 = \dfrac{\lambda}{2}$

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1. A.
   $\dfrac{9Rh}{16m}$
2. B.
   $\dfrac{11Rh}{16m}$
3. C.
   $\dfrac{13Rh}{16m}$
4. D.
   $\dfrac{15Rh}{16m}$

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1. A.
   $4$
2. B.
   $2$
3. C.
   $0.25$
4. D.
   $0.75$

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1. A.
   valance band is partially empty and the conduction band is partially filled.
2. B.
   valance band is completely filled and the conduction band is partially filled.
3. C.
   valance band is completely filled.
4. D.
   conduction band is completely empty.

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1. A.
   $I_B$ increases and $I_C$ increases proportionally
2. B.
   $I_B$ increases and $I_C$ remain constant
3. C.
   $I_B$ remain constant and $I_C$ increases
4. D.
   both $I_B$ and $I_C$ remain nearly constant

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1. A.
   a d.c. voltage appears across load
2. B.
   an a.c. voltage appears across load
3. C.
   a pulsating voltage appears across load
4. D.
   no voltage appears across load

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1. A.
   $12\ u$
2. B.
   $30\ u$
3. C.
   $25.4\ u$
4. D.
   $8.35\ u$

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1. A.
   $6.565 \times 10^{-5}$ cm
2. B.
   $3.647 \times 10^{-5}$ cm
3. C.
   $4.377 \times 10^{-5}$ cm
4. D.
   $1.824 \times 10^{-5}$ cm

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1. A.
   $\mathrm{N_2,\ CO}$
2. B.
   $\mathrm{N_2,\ NO^+}$
3. C.
   $\mathrm{O_2^{2-},\ F_2}$
4. D.
   $\mathrm{CO,\ NO^+}$

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1. A.
   $\mathrm{H_2}$
2. B.
   $\mathrm{O_2}$
3. C.
   $\mathrm{CH_4}$
4. D.
   $\mathrm{CO_2}$

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1. A.
   $-130.13$ kJ
2. B.
   $130.13$ kJ
3. C.
   $19.87$ kJ
4. D.
   $-19.87$ kJ

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1. A.
   $-7.483\ \mathrm{kJ\ mol^{-1}}$
2. B.
   $-3.741\ \mathrm{kJ\ mol^{-1}}$
3. C.
   $-11.224\ \mathrm{kJ\ mol^{-1}}$
4. D.
   $-14.966\ \mathrm{kJ\ mol^{-1}}$

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1. A.
   Adiabatic
2. B.
   Isothermal
3. C.
   Isochoric
4. D.
   Isobaric

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1. A.
   $1.34 \times 10^{-3}$ M
2. B.
   $1.68 \times 10^{-3}$ M
3. C.
   $2.12 \times 10^{-3}$ M
4. D.
   $2.34 \times 10^{-3}$ M

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1. A.
   $3.14$
2. B.
   $3.44$
3. C.
   $3.76$
4. D.
   $3.96$

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1. A.
   $0.01215$
2. B.
   $0.0357$
3. C.
   $0.06132$
4. D.
   $0.04242$

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1. A.
   $\mathrm{Mn(I)O_2}$
2. B.
   $\mathrm{Mn(II)O_2}$
3. C.
   $\mathrm{Mn(III)O_2}$
4. D.
   $\mathrm{Mn(IV)O_2}$

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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.
   aliphatic aldehyde
2. B.
   aliphatic ketone
3. C.
   aromatic aldehyde
4. D.
   aromatic ketone

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1. A.
   Acetaldehyde
2. B.
   Methylaldehyde
3. C.
   Ethanol
4. D.
   Ethanal

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1. A.
   Methane
2. B.
   Ethene
3. C.
   Ethyne
4. D.
   Ethane

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1. A.
   $\mathrm{CH_2Cl_2}$
2. B.
   $\mathrm{CHCl_3}$
3. C.
   Super critical $\mathrm{CO_2}$
4. D.
   $\mathrm{CCl_4}$

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1. A.
   $1.05 \times 10^{-22}$ g
2. B.
   $4.123 \times 10^{-23}$ g
3. C.
   $7.638 \times 10^{-23}$ g
4. D.
   $3.819 \times 10^{-22}$ g

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1. A.
   $\mathrm{ABO_4}$
2. B.
   $\mathrm{AB_2O_3}$
3. C.
   $\mathrm{A_2BO_4}$
4. D.
   $\mathrm{AB_2O_4}$

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1. A.
   $r = a/2$
2. B.
   $r = \sqrt{3}a/4$
3. C.
   $r = \sqrt{2}a/4$
4. D.
   $r = a/\sqrt{2}$

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1. A.
   $81.47\%$
2. B.
   $83.51\%$
3. C.
   $79.15\%$
4. D.
   $85.61\%$

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