MHT-CET 2023 (9 May Shift 1), Paper II, Physics & Chemistry question paper

1. A.
   $\frac{e}{2m}$, $\frac{eh}{4\pi m}$
2. B.
   $\frac{eh}{4\pi m}$, $\frac{e}{2m}$
3. C.
   $\frac{2m}{e}$, $\frac{4\pi m}{eh}$
4. D.
   $\frac{4\pi m}{eh}$, $\frac{2m}{e}$

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1. A.
   $1:3$
2. B.
   $3:1$
3. C.
   $3:4$
4. D.
   $12:1$

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1. A.
   $100\,\mu\text{A}$
2. B.
   $0.01\,\text{mA}$
3. C.
   $0.25\,\text{mA}$
4. D.
   $500\,\mu\text{A}$

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1. A.
   zero, one
2. B.
   one, zero
3. C.
   zero, zero
4. D.
   one, one

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1. A.
   $\frac{eB}{\pi^2 l}$
2. B.
   $\frac{e}{\pi B l^2}$
3. C.
   $\frac{B^2 e}{\pi l}$
4. D.
   $\frac{\pi l^2 e}{B}$

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

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

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1. A.
   Daphali
2. B.
   Sambal
3. C.
   Cymbals
4. D.
   Clarinet

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1. A.
   to reduce the effective potential on plates.
2. B.
   to increase the effective potential on plates.
3. C.
   to decrease the capacitance.
4. D.
   to reduce the plate area of capacitor.

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1. A.
   black, red, white
2. B.
   white, red, black
3. C.
   red, black, white
4. D.
   red, white, black

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1. A.
   $60\,\Omega$
2. B.
   $120\,\Omega$
3. C.
   $240\,\Omega$
4. D.
   $480\,\Omega$

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

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1. A.
   perpendicular to the direction of propagation of light.
2. B.
   parallel to the direction of propagation of light.
3. C.
   without any specific orientation with direction of propagation of light.
4. D.
   which has nothing to do with intensity of light.

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1. A.
   1.6 kg-wt
2. B.
   2.0 kg-wt
3. C.
   2.4 kg-wt
4. D.
   2.8 kg-wt

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1. A.
   $\frac{m_2}{m_1}d$, towards the centre of mass.
2. B.
   $\frac{m_1}{m_2}d$, away from the centre of mass.
3. C.
   $\frac{m_1}{m_2}d$, towards the centre of mass.
4. D.
   $\frac{m_2}{m_1}d$, away from the centre of mass.

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

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1. A.
   $\frac{\omega^2 L^2}{12g^2}$
2. B.
   $\frac{\omega^2 L^2 g}{6}$
3. C.
   $\frac{\omega^2 g}{12L^2}$
4. D.
   $\frac{\omega^2 L^2}{24g}$

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1. A.
   10 cm
2. B.
   9 cm
3. C.
   8 cm
4. D.
   7 cm

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1. A.
   potential energy increases and K.E. decreases.
2. B.
   potential energy decreases and K.E. increases.
3. C.
   both K.E. and potential energy will increase.
4. D.
   both K.E. and potential energy decreases.

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

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1. A.
   $2\pi\,\text{V}$
2. B.
   $3\pi\,\text{V}$
3. C.
   $4\pi\,\text{V}$
4. D.
   $5\pi\,\text{V}$

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

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

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1. A.
   total number of turns of the wire.
2. B.
   length of the solenoid.
3. C.
   radius of the wire.
4. D.
   current carried by the wire.

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1. A.
   $I_1 + I_2 + I_3$
2. B.
   $I_1 + I_3 + I_4$
3. C.
   $I_1 + I_2 + I_3 + I_4$
4. D.
   $I_1 + I_3$

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

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1. A.
   $\frac{\alpha_A}{\alpha_B}$
2. B.
   $\frac{\alpha_B}{\alpha_A}$
3. C.
   $\frac{\alpha_A + \alpha_B}{\alpha_A}$
4. D.
   $\frac{\alpha_A + \alpha_B}{\alpha_B}$

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1. A.
   $\sin^{-1}\left(\frac{9}{10}\right)$
2. B.
   $\sin^{-1}\left(\frac{3}{4}\right)$
3. C.
   $\sin^{-1}\left(\frac{5}{12}\right)$
4. D.
   $\sin^{-1}\left(\frac{9}{5}\right)$

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

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1. A.
   expands adiabatically.
2. B.
   is compressed adiabatically.
3. C.
   expands isothermally.
4. D.
   is compressed isothermally.

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

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1. A.
   $4\,\text{A}$
2. B.
   $6\,\text{A}$
3. C.
   $0.6\,\text{A}$
4. D.
   $60\,\text{A}$

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1. A.
   $\frac{\phi_2 - \phi_1}{\varepsilon_0}$
2. B.
   $\frac{\phi_2 + \phi_1}{\varepsilon_0}$
3. C.
   $\frac{\phi_1 - \phi_2}{\varepsilon_0}$
4. D.
   $\varepsilon_0(\phi_2 - \phi_1)$

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1. A.
   $2^\circ\text{C}$
2. B.
   $14.92^\circ\text{C}$
3. C.
   $4^\circ\text{C}$
4. D.
   $5^\circ\text{C}$

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

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1. A.
   $2\,\text{A}$ and $3\,\mu\text{C}$
2. B.
   $\frac{6}{11}\,\text{A}$ and $\frac{12}{7}\,\mu\text{C}$
3. C.
   11 A and $3\,\mu\text{C}$
4. D.
   zero ampere and $3\,\mu\text{C}$

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1. A.
   $230\,\text{N/m}^2$
2. B.
   $200\,\text{N/m}^2$
3. C.
   $135\,\text{N/m}^2$
4. D.
   $105\,\text{N/m}^2$

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1. A.
   $\frac{R}{2}$
2. B.
   $2R$
3. C.
   $5R$
4. D.
   $6R$

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1. A.
   $\frac{\Delta\phi}{\Delta t \cdot R}$ and $R\Delta\phi$
2. B.
   $\frac{\Delta\phi}{R}$ and $\frac{R\Delta t}{\Delta\phi}$
3. C.
   $\frac{\Delta\phi}{R} + R$ and $\frac{\Delta\phi}{\Delta t}$
4. D.
   $\frac{\Delta\phi}{\Delta t} \cdot \frac{1}{R}$ and $\frac{\Delta\phi}{R}$

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1. A.
   $I$
2. B.
   $\frac{2I}{3}$
3. C.
   $\frac{I}{5}$
4. D.
   $\frac{I}{10}$

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1. A.
   $\frac{Sl_1(100-l_2)}{100l_2 - l_1 \cdot 100}$
2. B.
   $\frac{Sl_2(100-l_1)}{100l_1 - l_2 \cdot 100}$
3. C.
   $\frac{100l_2 - l_1}{Sl_1(100-l_2)}$
4. D.
   $\frac{100l_2 - l_1}{sl_2(100-l_1)}$

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

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1. A.
   $\sqrt{3}\,\text{cm}$
2. B.
   $6\,\text{cm}$
3. C.
   $2\sqrt{3}\,\text{cm}$
4. D.
   $2\sqrt{6}\,\text{cm}$

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1. A.
   22.5 m
2. B.
   60.0 m
3. C.
   90.0 m
4. D.
   120.0 m

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1. A.
   $V_1 + V_2 = \left[\frac{2h}{m}(n_1 + n_2)\right]^{1/2}$
2. B.
   $V_1 - V_2 = \left[\frac{2h}{m}(n_1 - n_2)\right]^{1/2}$
3. C.
   $V_1^2 + V_2^2 = \frac{2h}{m}(n_1 + n_2)$
4. D.
   $V_1^2 - V_2^2 = \frac{2h}{m}(n_1 - n_2)$

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1. A.
   $499^\circ\text{C}$
2. B.
   $772^\circ\text{C}$
3. C.
   $1464^\circ\text{C}$
4. D.
   $1737^\circ\text{C}$

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1. A.
   $7.5 \times 10^{-6}\,\text{m}$
2. B.
   $7.5 \times 10^{-9}\,\text{m}$
3. C.
   $2.5 \times 10^{-6}\,\text{m}$
4. D.
   $5.0 \times 10^{-6}\,\text{m}$

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

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1. A.
   $\frac{3}{2}CV^2$
2. B.
   $8CV^2$
3. C.
   $\frac{13}{2}CV^2$
4. D.
   $\frac{1}{8}CV^2$

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1. A.
   45 cm
2. B.
   30 cm
3. C.
   35 cm
4. D.
   25 cm

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1. A.
   Legumelin
2. B.
   Serum albumin
3. C.
   Myosin
4. D.
   Insulin

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

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1. A.
   Hydrogenation
2. B.
   Chlorination
3. C.
   Bromination
4. D.
   Iodination

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1. A.
   $6.0 \times 10^{-23}\,\text{cm}^3$
2. B.
   $8.6 \times 10^{-23}\,\text{cm}^3$
3. C.
   $9.5 \times 10^{-23}\,\text{cm}^3$
4. D.
   $7.6 \times 10^{-23}\,\text{cm}^3$

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1. A.
   Polycarbonate
2. B.
   Polyacrylamide
3. C.
   Buna-N
4. D.
   Acrylic glass

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1. A.
   Cm
2. B.
   Pm
3. C.
   Tm
4. D.
   Sm

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1. A.
   Aufbau's principle
2. B.
   de Broglie's hypothesis
3. C.
   Heisenberg uncertainty principle
4. D.
   Pauli's exclusion principle

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1. A.
   $3.11\,\text{K\,kg\,mol}^{-1}$
2. B.
   $3.56\,\text{K\,kg\,mol}^{-1}$
3. C.
   $5.52\,\text{K\,kg\,mol}^{-1}$
4. D.
   $4.91\,\text{K\,kg\,mol}^{-1}$

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

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

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1. A.
   $9.0 \times 10^{-23}\,\text{cm}^3$
2. B.
   $2.98 \times 10^{-23}\,\text{cm}^3$
3. C.
   $6.023 \times 10^{-23}\,\text{cm}^3$
4. D.
   $5.50 \times 10^{-23}\,\text{cm}^3$

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1. A.
   solute-solute interactions, solute-solvent interactions and solvent-solvent interactions are of similar magnitude.
2. B.
   solute-solute interactions > solute-solvent interactions > solvent-solvent interactions.
3. C.
   solvent-solvent interactions > solute-solvent interactions > solute-solute interactions.
4. D.
   solute-solvent interactions > solute-solute interactions > solvent-solvent interactions.

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1. A.
   Teflon
2. B.
   PHBV
3. C.
   LDP
4. D.
   Polyacrylonitrile

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1. A.
   2.7
2. B.
   10.3
3. C.
   12.3
4. D.
   11.3

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1. A.
   ${}^{12}_6\text{C}$; ${}^{14}_6\text{C}$
2. B.
   ${}^{12}_6\text{C}$; ${}^{11}_5\text{B}$
3. C.
   ${}^{14}_6\text{C}$; ${}^{14}_7\text{N}$
4. D.
   ${}^{13}_6\text{C}$; ${}^{11}_5\text{B}$

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1. A.
   $+450\,\text{J}$
2. B.
   $-450\,\text{J}$
3. C.
   $+300\,\text{J}$
4. D.
   $-150\,\text{J}$

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1. A.
   Pentacarbonyliron(0)
2. B.
   Triamminetrinitrocobalt(III)
3. C.
   Tetraamminecopper(II) ion
4. D.
   Tetracyanonickelate(II) ion

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1. A.
   $\alpha,\beta$-1,2 glycosidic
2. B.
   $\alpha$-1,4 glycosidic
3. C.
   $\beta$-1,4 glycosidic
4. D.
   $\alpha$-1,6 glycosidic

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1. A.
   $3n$ Cl and $n$ N
2. B.
   $2n$ Cl and $2n$ N
3. C.
   $n$ Cl and $n$ N
4. D.
   $n$ Cl and $2n$ N

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1. A.
   $107^\circ$
2. B.
   $104.5^\circ$
3. C.
   $120^\circ$
4. D.
   $109.5^\circ$

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1. A.
   Prior to hybridization Co³⁺ possesses four unpaired electrons.
2. B.
   This complex has all electrons paired.
3. C.
   It is a high spin complex.
4. D.
   It is a diamagnetic complex.

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1. A.
   $V = \frac{\pi a^3}{6}$
2. B.
   $V = \frac{\sqrt{3}\pi a^3}{8}$
3. C.
   $V = \frac{\pi a^3}{32}$
4. D.
   $V = \frac{\pi a^3}{16}$

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

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1. A.
   0.0112
2. B.
   0.0341
3. C.
   0.0694
4. D.
   0.292

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1. A.
   $\text{SbCl}_3$
2. B.
   $\text{PbCl}_2$
3. C.
   $\text{SnCl}_4$
4. D.
   $\text{SnCl}_2$

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

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1. A.
   $\text{HNO}_3$
2. B.
   $\text{H}_2\text{SO}_4$
3. C.
   $\text{CH}_3\text{COOH}$
4. D.
   $\text{KCl}$

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1. A.
   Alkyl halide
2. B.
   Alkyl cyanide
3. C.
   Nitroalkane
4. D.
   Alkyl isocyanide

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1. A.
   K
2. B.
   Na
3. C.
   Li
4. D.
   Cs

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1. A.
   $1.1\times10^{-2}\,\text{mol\,dm}^{-3}\,\text{s}^{-1}$
2. B.
   $2.2\times10^{-2}\,\text{mol\,dm}^{-3}\,\text{s}^{-1}$
3. C.
   $3.3\times10^{-2}\,\text{mol\,dm}^{-3}\,\text{s}^{-1}$
4. D.
   $6.6\times10^{-2}\,\text{mol\,dm}^{-3}\,\text{s}^{-1}$

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1. A.
   $r = k[\text{NO}_2]^{1/2}[\text{CO}]$
2. B.
   $r = k[\text{NO}_2]^2[\text{CO}]^0$
3. C.
   $r = \frac{1}{2}k[\text{NO}_2][\text{CO}]$
4. D.
   $r = k[\text{NO}_2]^2[\text{CO}]$