MHT-CET 2023 (10 May Shift 2), Paper II, Physics & Chemistry question paper

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

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1. A.
   $2\,\Omega$
2. B.
   $4\,\Omega$
3. C.
   $6\,\Omega$
4. D.
   $10\,\Omega$

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1. A.
   $\frac{I_0}{2}$
2. B.
   $\frac{I_0}{\sqrt{2}}$
3. C.
   $\sqrt{2}\,I_0$
4. D.
   $\sqrt{3}\,I_0$

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1. A.
   $E_x > E_y > E_z$
2. B.
   $E_x < E_y < E_z$
3. C.
   $E_x = E_y = E_z$
4. D.
   $E_y > E_x < E_z$

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

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1. A.
   60 cm and 90 cm
2. B.
   90 cm and 100 cm
3. C.
   40 cm and 80 cm
4. D.
   50 cm and 90 cm

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1. A.
   work is done on the charge.
2. B.
   work is done by the charge.
3. C.
   work done on the charge is constantly increasing.
4. D.
   work done to move a charge is zero.

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1. A.
   $\frac{P_1 - P_0}{P_2 - P_0}$
2. B.
   $\frac{P_2 - P_0}{P_1 - P_0}$
3. C.
   $\left(\frac{P_2 - P_0}{P_1 - P_0}\right)^3$
4. D.
   $\left(\frac{P_1 - P_0}{P_2 - P_0}\right)^3$

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

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

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1. A.
   12%
2. B.
   14%
3. C.
   44%
4. D.
   144%

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

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

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1. A.
   $-1.5$ D
2. B.
   $-6.5$ D
3. C.
   $+6.5$ D
4. D.
   $+1.5$ D

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

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

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1. A.
   $\frac{\mu_0}{4\pi}\frac{I}{r}\left(\frac{2}{\pi} + 2\right)$
2. B.
   $\frac{\mu_0}{4\pi}\frac{I}{r}\left(\frac{2}{\pi} - 2\right)$
3. C.
   $\frac{\mu_0}{4\pi}\frac{I}{r}\left(2 + \frac{\pi}{2}\right)$
4. D.
   $\frac{\mu_0}{4\pi}\frac{I}{r}\left(2 - \frac{\pi}{2}\right)$

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1. A.
   $3\pi a_0$
2. B.
   $6\pi a_0$
3. C.
   $9\pi a_0$
4. D.
   $12\pi a_0$

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1. A.
   rigid diatomic.
2. B.
   monoatomic.
3. C.
   non-rigid diatomic.
4. D.
   polyatomic.

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1. A.
   Force of friction.
2. B.
   Normal reaction.
3. C.
   Gravitational force.
4. D.
   Viscous force.

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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.
   1.2 J
2. B.
   2.4 J
3. C.
   24 J
4. D.
   240 J

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1. A.
   $\frac{1}{3}I_1$
2. B.
   $3I_1$
3. C.
   $2I_1$
4. D.
   $9I_1$

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1. A.
   $\sqrt{2GM\left(\frac{1}{R} - \frac{1}{R_0}\right)}$
2. B.
   $2GM\left(\frac{1}{R} - \frac{1}{R_0}\right)$
3. C.
   $\sqrt{GM\left(\frac{1}{R} - \frac{1}{R_0}\right)}$
4. D.
   $2\sqrt{GM\left(\frac{1}{R} - \frac{1}{R_0}\right)}$

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

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1. A.
   both doubled.
2. B.
   made four times.
3. C.
   made eight times.
4. D.
   both halved simultaneously.

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1. A.
   0.27 J
2. B.
   0.54 J
3. C.
   0.81 J
4. D.
   54 J

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1. A.
   $\frac{2\pi}{\lambda}(\mu_1 L_1 - \mu_2 L_2)$
2. B.
   $\frac{2\pi}{\lambda}(L_2 - L_1)$
3. C.
   $\frac{2\pi}{\lambda}\left(\frac{L_1}{\mu_1} - \frac{L_2}{\mu_2}\right)$
4. D.
   $\frac{2\pi}{\lambda}(\mu_2 L_1 - \mu_1 L_2)$

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1. A.
   256 Hz
2. B.
   280 Hz
3. C.
   341 Hz
4. D.
   512 Hz

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1. A.
   $162R$
2. B.
   $81R$
3. C.
   $16.2R$
4. D.
   $8.1R$

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1. A.
   reduced in length.
2. B.
   increased in length.
3. C.
   made thinner.
4. D.
   widened.

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1. A.
   $-3$ V
2. B.
   $3$ V
3. C.
   $6$ V
4. D.
   $9$ V

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

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

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1. A.
   $\frac{V}{g}$
2. B.
   $\frac{V}{2g}$
3. C.
   $\frac{V^2}{2g}$
4. D.
   $\frac{V^2}{g}$

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1. A.
   $\frac{3}{4}F$
2. B.
   $\frac{4}{3}F$
3. C.
   $\frac{9}{16}F$
4. D.
   $\frac{16}{9}F$

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1. A.
   $5440\,\text{\AA}$
2. B.
   $5890\,\text{\AA}$
3. C.
   $5900\,\text{\AA}$
4. D.
   $6630\,\text{\AA}$

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

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1. A.
   zero
2. B.
   $\sqrt{\frac{e}{\varepsilon_0 r_0 m}}$
3. C.
   $\frac{e}{\sqrt{4\pi\varepsilon_0 r_0 m}}$
4. D.
   $\sqrt{\frac{4\pi\varepsilon_0 r_0 m}{e}}$

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1. A.
   2.5 kJ
2. B.
   3.0 kJ
3. C.
   3.5 kJ
4. D.
   4.0 kJ

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1. A.
   $\frac{\mu_0 \pi r_2^2}{2r_1}$
2. B.
   $\frac{\mu_0 \pi^2 r_1 r_2}{2}$
3. C.
   $\frac{\mu_0 \pi r_1^2}{2r_2}$
4. D.
   $\frac{\mu_0 \pi r_2^2 \pi^2}{2r_1}$

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1. A.
   $\frac{9\theta}{4}$
2. B.
   $\frac{2\theta}{5}$
3. C.
   $\frac{5\theta}{3}$
4. D.
   $\frac{7\theta}{3}$

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1. A.
   45 m/s
2. B.
   75 m/s
3. C.
   48 m/s
4. D.
   80 m/s

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1. A.
   $\frac{\sqrt{5}}{2}R,\, \tan^{-1}\!\left(\frac{1}{2}\right)$
2. B.
   $\frac{\sqrt{13}}{2}R,\, \tan^{-1}\!\left(\frac{3}{2}\right)$
3. C.
   $\sqrt{5}R,\, \tan^{-1}(1)$
4. D.
   $\sqrt{13}R,\, \tan^{-1}(2)$

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1. A.
   large and large
2. B.
   large and small.
3. C.
   small and large.
4. D.
   small and small.

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1. A.
   6 cm
2. B.
   8 cm
3. C.
   10 cm
4. D.
   12 cm

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1. A.
   $\frac{E_2\lambda_2 - E_1\lambda_1}{\lambda_2 - \lambda_1}$
2. B.
   $\frac{E_1\lambda_1 + E_2\lambda_2}{\lambda_2 - \lambda_1}$
3. C.
   $\frac{E_1\lambda_1 - E_2\lambda_2}{\lambda_2 - \lambda_1}$
4. D.
   $\frac{E_2\lambda_2 + E_1\lambda_1}{\lambda_1 - \lambda_2}$

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1. A.
   $\frac{399}{400}G$
2. B.
   $\frac{1}{400}G$
3. C.
   $\frac{499}{500}G$
4. D.
   $\frac{1}{500}G$

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1. A.
   $\frac{4l}{x}$
2. B.
   $4lx$
3. C.
   $4l$
4. D.
   $2l$

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

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1. A.
   $2.0 \times 10^{-9}$
2. B.
   $3.0 \times 10^{-9}$
3. C.
   $4.0 \times 10^{-9}$
4. D.
   $5.0 \times 10^{-9}$

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1. A.
   Alcohols < Amines < Carboxylic acids
2. B.
   Amines < Carboxylic acids < Alcohols
3. C.
   Amines < Alcohols < Carboxylic acid
4. D.
   Carboxylic acids < Alcohols < Amines

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1. A.
   3s
2. B.
   3p
3. C.
   3d
4. D.
   3f

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1. A.
   It is immiscible in water.
2. B.
   It is pale blue coloured liquid in pure state.
3. C.
   It's strength is explained in volume unit.
4. D.
   It is mild oxidising as well reducing agent.

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1. A.
   0.0223
2. B.
   0.0422
3. C.
   0.0642
4. D.
   0.0821

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1. A.
   $\text{C}_4\text{H}_9\text{OH} + \text{NaBr} + \text{H}_2\text{SO}_4 \rightarrow \text{C}_4\text{H}_9\text{Br} + \text{NaHSO}_4 + \text{H}_2\text{O}$
2. B.
   $\text{C}_2\text{H}_4 + \text{H}_2 \xrightarrow{\text{Ni}} \text{C}_2\text{H}_6$
3. C.
   $\text{C}_2\text{H}_5\text{OH} + \text{C}_2\text{H}_5\text{COOH} \rightarrow \text{C}_2\text{H}_5\text{COOC}_2\text{H}_5 + \text{H}_2\text{O}$
4. D.
   $\text{C}_4\text{H}_9\text{OH} + \text{SOCl}_2 \xrightarrow{\Delta} \text{C}_4\text{H}_9\text{Cl} + \text{HCl} + \text{SO}_2$

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1. A.
   Concentration of absorbate is uniform throughout the bulk of the absorbent.
2. B.
   It is independent of temperature and pressure.
3. C.
   It is not accompanied by evolution or absorption of heat.
4. D.
   It depends on surface area.

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1. A.
   Flax plant
2. B.
   Cotton plant
3. C.
   Cane plant
4. D.
   Rubber plant

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1. A.
   Arg
2. B.
   Asp
3. C.
   Asn
4. D.
   Ala

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

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

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1. A.
   One
2. B.
   Two
3. C.
   Three
4. D.
   Four

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1. A.
   Tetracyanonickelate(II) ion
2. B.
   Potassium trioxalatoaluminate(III)
3. C.
   Trioxalatocobaltate(III) ion
4. D.
   bis(ethylenediamine)dithiocyanato platinum(IV)

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1. A.
   Mn
2. B.
   Co
3. C.
   Fe
4. D.
   Zn

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1. A.
   These are softened on heating.
2. B.
   Intermolecular forces involved in these are moderately strong intermediate between elastomers and fibres.
3. C.
   These possess extensive cross linking by covalent bonds.
4. D.
   These can be easily moulded and remoulded.

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1. A.
   Tellurium
2. B.
   Polonium
3. C.
   Selenium
4. D.
   Astatine

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1. A.
   4.7447
2. B.
   5.1420
3. C.
   5.8496
4. D.
   4.0128

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

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1. A.
   3-Carboxy-6-methylphenol
2. B.
   5-Carboxy-2-methylphenol
3. C.
   3-Hydroxy-4-methylbenzoic acid
4. D.
   4-methyl-5-hydroxybenzoic acid

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1. A.
   $0.44\,\text{mol}^{-2}\,\text{L}^2\,\text{s}^{-1}$
2. B.
   $0.88\,\text{mol}^{-2}\,\text{L}^2\,\text{s}^{-1}$
3. C.
   $1.136\,\text{mol}^{-2}\,\text{L}^2\,\text{s}^{-1}$
4. D.
   $3.52\,\text{mol}^{-2}\,\text{L}^2\,\text{s}^{-1}$

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1. A.
   Ethane
2. B.
   Propane
3. C.
   Butane
4. D.
   Pentane

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1. A.
   $6.36 \times 10^{-22}\,\text{cm}^3$
2. B.
   $5.12 \times 10^{-22}\,\text{cm}^3$
3. C.
   $5.84 \times 10^{-22}\,\text{cm}^3$
4. D.
   $6.60 \times 10^{-22}\,\text{cm}^3$

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1. A.
   $2.4 \times 10^{-2}\,\text{mol}\,\text{dm}^{-3}$
2. B.
   $3.0 \times 10^{-2}\,\text{mol}\,\text{dm}^{-3}$
3. C.
   $2.7 \times 10^{-2}\,\text{mol}\,\text{dm}^{-3}$
4. D.
   $1.8 \times 10^{-2}\,\text{mol}\,\text{dm}^{-3}$

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1. A.
   $3.0 \times 10^{14}\,\text{Hz}$
2. B.
   $4.0 \times 10^{14}\,\text{Hz}$
3. C.
   $7.5 \times 10^{14}\,\text{Hz}$
4. D.
   $9.0 \times 10^{14}\,\text{Hz}$

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1. A.
   Propene
2. B.
   Propanal
3. C.
   Propanone
4. D.
   Propan-2-ol

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1. A.
   Benzaldehyde
2. B.
   Butyraldehyde
3. C.
   Cinnamaldehyde
4. D.
   Oxaldehyde

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1. A.
   1-Bromopropane
2. B.
   2-Bromopropane
3. C.
   1-Bromo-2-methylpropane
4. D.
   2-Bromo-2-methylpropane

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1. A.
   $\Delta H + \Delta U = PV$
2. B.
   $\Delta U = \Delta H + P\Delta V$
3. C.
   $\Delta U = \Delta H + \Delta n RT$
4. D.
   $\Delta H = \Delta U + \Delta n RT$

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1. A.
   3-Carboxy-5-ethylphenol
2. B.
   5-Carboxy-3-ethylphenol
3. C.
   3-Ethyl-5-hydroxybenzoic acid
4. D.
   5-Ethyl-3-hydroxybenzoic acid

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1. A.
   Prop-2-en-1-ol
2. B.
   But-3-en-2-ol
3. C.
   2-methylprop-2-en-1-ol
4. D.
   2-methylbut-3-en-2-ol

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1. A.
   $R\text{-CONH}_2 \xrightarrow{\text{Br}_2,\,\text{KOH(aq)},\,\Delta} R\text{-NH}_2$
2. B.
   $R\text{-NH}_2 \xrightarrow{RX\,\text{(excess)}} R_4\text{N}^+\text{X}^-$
3. C.
   $R_4\text{NX} \xrightarrow{\text{Moist Ag}_2\text{O},\,\Delta} \text{Alkene} + R_3\text{N}$
4. D.
   $R\text{-CN} \xrightarrow{\text{Na}/C_2H_5\text{OH or LiAlH}_4} R\text{-CH}_2\text{NH}_2$

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1. A.
   $-90\,\text{kJ}$
2. B.
   $-100\,\text{kJ}$
3. C.
   $235.6\,\text{kJ}$
4. D.
   $33.56\,\text{kJ}$

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1. A.
   0.383 minute
2. B.
   7.53 minute
3. C.
   8.73 minute
4. D.
   23.1 minute

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1. A.
   $23.5\,\text{g}\,\text{cm}^{-3}$
2. B.
   $21.2\,\text{g}\,\text{cm}^{-3}$
3. C.
   $17.5\,\text{g}\,\text{cm}^{-3}$
4. D.
   $19.7\,\text{g}\,\text{cm}^{-3}$

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1. A.
   100 J
2. B.
   $-200$ J
3. C.
   200 J
4. D.
   $-300$ J

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1. A.
   rate of slowest step.
2. B.
   rate of fastest step.
3. C.
   average rate of various steps.
4. D.
   instantaneous rate of fast step.

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

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1. A.
   $\text{NaCl}$
2. B.
   $\text{KNO}_3$
3. C.
   $\text{NaNO}_3$
4. D.
   $\text{Na}_2\text{SO}_4$

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1. A.
   $S = \left(\frac{K_{sp}}{108}\right)^{1/5}$
2. B.
   $S = (108 \times K_{sp})^{1/5}$
3. C.
   $S = \left(\frac{K_{sp}}{27}\right)^{1/5}$
4. D.
   $S = (27 \times K_{sp})^{1/5}$