MHT-CET 2023 (10 May Shift 1), Paper II, Physics & Chemistry question paper

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

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1. A.
   $\frac{\mu_0 I}{8r}$
2. B.
   $\frac{\mu_0 I}{32r}$
3. C.
   $\frac{\mu_0 I}{64r}$
4. D.
   $\frac{\mu_0 I}{16r}$

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

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

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1. A.
   44%
2. B.
   55%
3. C.
   66%
4. D.
   77%

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1. A.
   5 capacitors in parallel and then 2 capacitors series.
2. B.
   4 capacitors in parallel and then 3 capacitors series.
3. C.
   3 capacitors in parallel and then 4 capacitors in series.
4. D.
   2 capacitors in parallel and then 5 capacitors in series.

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1. A.
   $\frac{E_0^2}{\sqrt{2}R}$
2. B.
   $\frac{E_0^2}{2R}$
3. C.
   $\frac{E_0^2}{4R}$
4. D.
   $\frac{E_0^2}{R}$

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1. A.
   $1:\sqrt{8}$
2. B.
   $1:8$
3. C.
   $1:\sqrt{3}$
4. D.
   $1:3$

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

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1. A.
   10.2 eV
2. B.
   13.6 eV
3. C.
   -10.2 eV
4. D.
   -3.4 eV

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

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

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1. A.
   $\frac{1}{\mu} = \cos\delta - \frac{\sin\delta}{\tan i}$
2. B.
   $\frac{1}{\mu} = \sin\delta - \frac{\cos\delta}{\tan i}$
3. C.
   $\frac{1}{\mu} = \cos\delta - \sin\delta\tan i$
4. D.
   $\frac{1}{\mu} = \sin\delta - \cos\delta\tan i$

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1. A.
   $n_1=2n_2$
2. B.
   $n_1=n_2$
3. C.
   $2n_1=n_2$
4. D.
   $3n_1=4n_2$

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1. A.
   zero
2. B.
   0.25 A
3. C.
   0.50 A
4. D.
   0.75 A

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1. A.
   $\frac{7}{9}$
2. B.
   $\frac{10}{11}$
3. C.
   $\frac{11}{10}$
4. D.
   $\frac{9}{7}$

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1. A.
   $2\,\mu m$
2. B.
   $4\,\mu m$
3. C.
   $6\,\mu m$
4. D.
   $8\,\mu m$

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1. A.
   $\frac{3V^2}{8Js}$
2. B.
   $\frac{5V^2}{8Js}$
3. C.
   $\frac{3V^2}{4Js}$
4. D.
   $\frac{5V^2}{4Js}$

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1. A.
   decreases with increase in frequency of incident photon.
2. B.
   increases with increase in frequency of incident photon.
3. C.
   does not depend on the frequency of photon but depends only on the intensity of incident light.
4. D.
   depends both on intensity and frequency of incident radiation.

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1. A.
   0.5
2. B.
   1
3. C.
   2
4. D.
   1.5

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1. A.
   $\frac{1}{4\pi\varepsilon_0}\frac{2q}{L}\left(1+\frac{1}{\sqrt{5}}\right)$
2. B.
   $\frac{1}{4\pi\varepsilon_0}\frac{2q}{L}\left(1-\frac{1}{\sqrt{5}}\right)$
3. C.
   $\frac{1}{4\pi\varepsilon_0}\frac{2q}{L}(1-\sqrt{5})$
4. D.
   $\frac{1}{4\pi\varepsilon_0}\frac{2q}{L}(1+\sqrt{5})$

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

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1. A.
   $2\pi\,\text{V}$
2. B.
   $2.4\pi\,\text{V}$
3. C.
   $5\pi\,\text{V}$
4. D.
   $7.2\pi\,\text{V}$

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

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1. A.
   5 beats/s with maximum intensity 25 units
2. B.
   6 beats/s with maximum intensity 16 units
3. C.
   3 beats/s with maximum intensity 25 units
4. D.
   1 beats/s with maximum intensity 5 units

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1. A.
   $\sqrt{\frac{3H}{\rho}}$
2. B.
   $\sqrt{\frac{5H}{\rho}}$
3. C.
   $\sqrt{\frac{6H}{\rho}}$
4. D.
   $\sqrt{\frac{9H}{\rho}}$

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

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1. A.
   1.22
2. B.
   1.33
3. C.
   1.44
4. D.
   1.55

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

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

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

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

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1. A.
   $\frac{1}{\sqrt{2}}$
2. B.
   $\frac{2}{\sqrt{5}}$
3. C.
   $\frac{2}{\sqrt{10}}$
4. D.
   $\frac{2}{\sqrt{15}}$

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

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1. A.
   linear velocity always radial to the circular path, without change in its magnitude
2. B.
   linear velocity always tangential to the circular path, without change in its magnitude
3. C.
   linear acceleration always tangential to the circular path
4. D.
   linear acceleration always along the axis of the circular path

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1. A.
   $\frac{2\varepsilon_0^2 n^2 h^2}{me^4}$
2. B.
   $\frac{4\varepsilon_0^2 n^2 h^2}{me^2}$
3. C.
   $\frac{4\varepsilon_0^2 n^3 h^3}{me^4}$
4. D.
   $\frac{4\varepsilon_0 n^2 h^2}{\pi me^2}$

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

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1. A.
   c, b
2. B.
   a, 0
3. C.
   d, c
4. D.
   f, e

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1. A.
   $\frac{1}{4}C\left(V_1^2+V_2^2\right)$
2. B.
   $\frac{1}{4}C\left(V_1^2-V_2^2\right)$
3. C.
   $\frac{1}{4}C\left(V_1+V_2\right)^2$
4. D.
   $\frac{1}{4}C\left(V_1-V_2\right)^2$

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1. A.
   $R^{3/2}$
2. B.
   $R^{3/5}$
3. C.
   $R^{7/2}$
4. D.
   $R^{7/4}$

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1. A.
   $(\rho_2+\sigma):(\rho_1-\sigma)$
2. B.
   $(\rho_1+\sigma):(\rho_2-\sigma)$
3. C.
   $(\rho_2-\sigma):(\rho_1-\sigma)$
4. D.
   $(\rho_1-\sigma):(\rho_2-\sigma)$

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

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1. A.
   $r=\frac{2}{\sqrt{5}-2}$ right to pt. B
2. B.
   $r=\frac{2}{\sqrt{5}-2}$ left to pt. A
3. C.
   $r=\frac{2}{\sqrt{5}+2}$ right to pt. B
4. D.
   $r=\frac{2}{\sqrt{5}+2}$ left to pt. A

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1. A.
   Wavelength increased two times
2. B.
   Wavelength decreased to half
3. C.
   Wavelength increased four times
4. D.
   Wavelength remains the same

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1. A.
   antinodes at both ends and at least one node in between
2. B.
   Nodes at both ends and at least one antinode in between
3. C.
   Nodes at both ends and no antinode in between
4. D.
   antinodes at both ends and no node in between

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1. A.
   decreases
2. B.
   increases
3. C.
   remains same
4. D.
   first increases and then decreases

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

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

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1. A.
   voltage regulator, diode rectifier, filter.
2. B.
   diode rectifier, voltage regulator, filter.
3. C.
   diode rectifier, filter, voltage regulator.
4. D.
   filter, voltage regulator, diode rectifier.

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

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1. A.
   Crotonyl alcohol
2. B.
   Resorcinol
3. C.
   Ethylene glycol
4. D.
   Quinol

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1. A.
   $2.44\times10^{-23}\,\text{cm}^3$
2. B.
   $5.86\times10^{-23}\,\text{cm}^3$
3. C.
   $3.68\times10^{-23}\,\text{cm}^3$
4. D.
   $4.76\times10^{-23}\,\text{cm}^3$

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1. A.
   1-Methoxypropane
2. B.
   1-Ethoxypropane
3. C.
   Methoxyethane
4. D.
   Ethoxyethane

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1. A.
   $5.6\,\text{dm}^3$
2. B.
   $16.8\,\text{dm}^3$
3. C.
   $22.4\,\text{dm}^3$
4. D.
   $33.6\,\text{dm}^3$

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1. A.
   $0.1\,\text{mol dm}^{-3}\text{ minute}^{-1}$
2. B.
   $0.2\,\text{mol dm}^{-3}\text{ minute}^{-1}$
3. C.
   $0.3\,\text{mol dm}^{-3}\text{ minute}^{-1}$
4. D.
   $0.4\,\text{mol dm}^{-3}\text{ minute}^{-1}$

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1. A.
   $22.4\,\text{dm}^3$
2. B.
   $5.6\,\text{dm}^3$
3. C.
   $11.2\,\text{dm}^3$
4. D.
   $7.46\,\text{dm}^3$

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1. A.
   Solid in liquid
2. B.
   Gas in liquid
3. C.
   Solid in gas
4. D.
   Solid in solid

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1. A.
   Polynucleotide strands wind into a right-handed double helix.
2. B.
   Sugar-phosphate backbone lies at inside and bases lie outside of helix.
3. C.
   Double helix is stabilized by hydrogen bonding formed in two strands.
4. D.
   A=T and G=C are complementary base pairs.

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1. A.
   It is sum of power of concentration terms in rate law equation.
2. B.
   It may be integer, fraction or zero.
3. C.
   It is theoretical quantity
4. D.
   It is experimentally determined quantity.

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1. A.
   $1.6\times10^{-3}$
2. B.
   $2.5\times10^{-3}$
3. C.
   $4.0\times10^{-3}$
4. D.
   $8.0\times10^{-3}$

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1. A.
   $R_2C=CR_2$
2. B.
   $R_2C=CHR$
3. C.
   $R_2C=CH_2$
4. D.
   $RCH=CH_2$

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1. A.
   Vacancy defect
2. B.
   Self interstitial defect
3. C.
   Schottky defect
4. D.
   Frenkel defect

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1. A.
   Quinol
2. B.
   Catechol
3. C.
   Propylene glycerol
4. D.
   Resorcinol

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1. A.
   NaCl
2. B.
   $\text{NH}_4\text{HCO}_3$
3. C.
   $\text{NH}_3$
4. D.
   $\text{CO}_2$

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1. A.
   Trigonal pyramidal
2. B.
   Square pyramidal
3. C.
   Square planar
4. D.
   Distorted octahedral

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1. A.
   Solid sol
2. B.
   Emulsion
3. C.
   Foam
4. D.
   Aerosol

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1. A.
   $n\text{-}\text{C}_4\text{H}_9\text{OH}$
2. B.
   $(\text{CH}_3)_3\text{C}-\text{NH}_2$
3. C.
   $\text{C}_2\text{H}_5\text{N}(\text{CH}_3)_2$
4. D.
   $\text{C}_2\text{H}_5\text{COOH}$

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1. A.
   5' end of polynucleotide has free phosphate group.
2. B.
   Nucleic acids contain backbone formed of –C–O–C– linkage.
3. C.
   Polynucleotide has free –OH group at 3' end.
4. D.
   Neighbouring nucleotides are bonded through phosphate diester linkage.

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1. A.
   $\Omega^{-1}$
2. B.
   $\text{A V}^{-1}$
3. C.
   $\text{C V}^{-1}\text{s}^{-1}$
4. D.
   $\Omega$

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

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1. A.
   Coordinate
2. B.
   Solvate
3. C.
   Ionization
4. D.
   Linkage

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1. A.
   $-\text{NHR}$
2. B.
   $-\text{CN}$
3. C.
   $-\text{NO}_2$
4. D.
   $-\text{COOR}$

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1. A.
   $R\text{-NH}_2$
2. B.
   $R\text{-CONH}_2$
3. C.
   $R\text{-CHO}$
4. D.
   $R\text{-COOH}$

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1. A.
   52.90 pm
2. B.
   78.90 pm
3. C.
   26.45 pm
4. D.
   13.35 pm

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1. A.
   $\text{Na}_3[\text{Co(NO}_2)_6]$
2. B.
   $[\text{Fe(H}_2\text{O)}_5\text{(NCS)}]^{2+}$
3. C.
   $[\text{Cu(NH}_3)_4]^{2+}$
4. D.
   $[\text{Co(C}_2\text{O}_4)_3]^{3-}$

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1. A.
   $2.16\times10^{-2}\,\text{min}^{-1}$
2. B.
   $3.52\times10^{-2}\,\text{min}^{-1}$
3. C.
   $4.81\times10^{-2}\,\text{min}^{-1}$
4. D.
   $7.67\times10^{-2}\,\text{min}^{-1}$

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1. A.
   $\text{NH}_3 > R\text{-NH}_2 > R_2\text{NH}$
2. B.
   $R_2\text{NH} > R\text{-NH}_2 > \text{NH}_3$
3. C.
   $R\text{-NH}_2 > R_2\text{NH} > \text{NH}_3$
4. D.
   $R_2\text{NH} > \text{NH}_3 > R\text{-NH}_2$

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1. A.
   Scanning electron microscope
2. B.
   X-ray diffractometer
3. C.
   Transmission electron microscope
4. D.
   UV-visible spectrophotometer

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1. A.
   $\text{CaO(s)}+\text{CO}_2\text{(g)}\longrightarrow\text{CaCO}_3\text{(s)}$
2. B.
   $\text{NaCl(aq)}\longrightarrow\text{NaCl(s)}$
3. C.
   $\text{NaNO}_3\text{(s)}\longrightarrow\text{Na}^+\text{(aq)}+\text{NO}_3^-\text{(aq)}$
4. D.
   $\text{N}_2\text{(g)}+3\text{H}_2\text{(g)}\longrightarrow 2\text{NH}_3\text{(g)}$

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1. A.
   It increases with increase in temperature.
2. B.
   It decreases with increase in temperature.
3. C.
   Remain constant on changing temperature.
4. D.
   It is not a state function.

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1. A.
   $15.0\,\text{g mol}^{-1}$
2. B.
   $30.0\,\text{g mol}^{-1}$
3. C.
   $7.5\,\text{g mol}^{-1}$
4. D.
   $40.0\,\text{g mol}^{-1}$

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1. A.
   $3^\circ > 2^\circ > 1^\circ$
2. B.
   $2^\circ > 1^\circ > 3^\circ$
3. C.
   $3^\circ > 1^\circ > 2^\circ$
4. D.
   $1^\circ > 2^\circ > 3^\circ$

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1. A.
   $\text{C}_6\text{H}_5\text{COOH}$
2. B.
   $\text{C}_6\text{H}_5\text{CHO}$
3. C.
   $\text{C}_6\text{H}_5\text{CHCl}_2$
4. D.
   $\text{C}_6\text{H}_5\text{Cl}$

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1. A.
   $\text{N}_2$
2. B.
   $\text{H}_2$
3. C.
   $\text{O}_2$
4. D.
   $\text{F}_2$

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1. A.
   Sm
2. B.
   Hg
3. C.
   Zn
4. D.
   W

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1. A.
   1.22
2. B.
   1.32
3. C.
   1.42
4. D.
   1.83

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1. A.
   $500.80^\circ\text{C}$
2. B.
   $100.16^\circ\text{C}$
3. C.
   $100.8^\circ\text{C}$
4. D.
   $20.8^\circ\text{C}$

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1. A.
   PHBV
2. B.
   Nylon 2-nylon 6
3. C.
   Buna-N
4. D.
   Thermocol

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