MHT-CET 2025 (23 April Shift I), Paper II, Physics & Chemistry question paper

1. A.
   Holes are majority carriers and trivalent atoms are dopants.
2. B.
   Electrons are majority carriers and trivalent atoms are dopants.
3. C.
   Holes are minority carriers and pentavalent atoms are dopants.
4. D.
   Electrons are minority carriers and pentavalent atoms are dopants.

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1. A.
   25 Mh
2. B.
   50 mH
3. C.
   75 mH
4. D.
   100 mH

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1. A.
   $\frac{\sigma}{\varepsilon_{0}}$ and is parallel to the surface
2. B.
   $\frac{2\sigma}{\varepsilon_{0}}$ and is parallel to the surface
3. C.
   $\frac{\sigma}{\varepsilon_{0}}$ and is normal to the surface
4. D.
   $\frac{2\sigma}{\varepsilon_{0}}$ and is normal to the surface

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1. A.
   $1:3$
2. B.
   $1:9$
3. C.
   $1:27$
4. D.
   $27:1$

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1. A.
   $\ v = \frac{\lambda V}{4\pi A}$
2. B.
   $V = \frac{\lambda V}{4\pi A}$
3. C.
   $v = \frac{2\pi\text{ }A}{\lambda}\text{ }V$
4. D.
   $V = \frac{2\pi A}{\lambda}v$

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1. A.
   $\frac{1}{\pi}\sqrt{\frac{ML}{mg}}$
2. B.
   $\frac{1}{2\pi}\sqrt{\frac{Mg}{mL}}$
3. C.
   $\frac{1}{\pi}\sqrt{\frac{Mg}{mL}}$
4. D.
   $\ \frac{1}{2\pi}\sqrt{\frac{ML}{mg}}$

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1. A.
   $1.5 \times 10^{5}\text{ }V$
2. B.
   $1.8 \times 10^{6}\text{ }V$
3. C.
   $2.4 \times 10^{5}\text{ }V$
4. D.
   $3.2 \times 10^{6}\text{ }V$

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

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

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1. A.
   $\frac{1}{3}\log_{e}2$
2. B.
   $3\log_{e}2$
3. C.
   $3\log_{10}2$
4. D.
   $\frac{3}{\log_{10}2}$

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1. A.
   $\ T_{1}$ is increased or $T_{2}$ is decreased
2. B.
   $T_{1}$ is increased by 144
3. C.
   $\ T_{2}$ is decreased by 144
4. D.
   $T_{1}$ is decreased or $T_{2}$ is increased

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1. A.
   $5\%$
2. B.
   $10\%$
3. C.
   $5.26\%$
4. D.
   $4\%$

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1. A.
   0.024 cm
2. B.
   2.4 cm
3. C.
   0.24 cm
4. D.
   0.2 cm

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1. A.
   $\frac{\mu_{0}I_{1}I_{2}}{3\pi}$
2. B.
   $\frac{3\mu_{0}I_{1}I_{2}}{4\pi}$
3. C.
   $\frac{3\mu_{0}I_{1}I_{2}}{8\pi}$
4. D.
   $\frac{9\mu_{0}I_{1}I_{2}}{8\pi}$

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1. A.
   $4\mu\text{ }A$
2. B.
   $6\mu\text{ }A$
3. C.
   $12\mu\text{ }A$
4. D.
   $24\mu\text{ }A$

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1. A.
   $\sin^{-1}\left(\sqrt{2}\sin 15^{\circ}\right)$
2. B.
   $\sin^{-1}\left(\dfrac{\sin 30^{\circ}}{\sqrt{2}}\right)$
3. C.
   $\cos^{-1}\left(\sqrt{2}\sin 20^{\circ}\right)$
4. D.
   $\tan^{-1}\sqrt{2\sin 15^{\circ}}$

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1. A.
   $\frac{1}{9}$
2. B.
   $\frac{1}{64}$
3. C.
   $\frac{1}{27}$
4. D.
   $\frac{1}{8}$

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1. A.
   plate 'a'
2. B.
   plate ' $b$ '
3. C.
   both plates ' $a$ ' and ' $b$ '
4. D.
   neither plate ' $a$ ' nor plate ' $b$ '

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1. A.
   $5\%$
2. B.
   $10\%$
3. C.
   $20\%$
4. D.
   $25\%$

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1. A.
   Figure (D)
2. B.
   Figure (B)
3. C.
   Figure (A)
4. D.
   Figure (C)

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1. A.
   $2\pi\text{ }T(R - r)$
2. B.
   $\ 2\pi\text{ }T(R + r)$
3. C.
   $3\pi TR$
4. D.
   $\ 4\pi\text{ }T(R + r)$

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1. A.
   $96\text{ }Hz,92\text{ }Hz$
2. B.
   $92\text{ }Hz,88\text{ }Hz$
3. C.
   $72\text{ }Hz,68\text{ }Hz$
4. D.
   $48\text{ }Hz,44\text{ }Hz$

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1. A.
   $V = Ccos\left( i_{p} \right)$
2. B.
   $\ Vcos\left( i_{p} \right) = Csin\left( i_{p} \right)$
3. C.
   $C = Vcot\left( i_{p} \right)$
4. D.
   $Vsin\left( i_{p} \right) = Ccos\left( i_{p} \right)$

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1. A.
   $13\Omega$
2. B.
   $17\Omega$
3. C.
   $19\Omega$
4. D.
   $21\Omega$

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1. A.
   6
2. B.
   48
3. C.
   24
4. D.
   12

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1. A.
   Improper calibration of thermometer
2. B.
   Zero error of $1\mu\text{ }V$ in voltmeter
3. C.
   Student measures $22^{\circ}$, whereas the correct angle is $20^{\circ}$
4. D.
   Errors resulting from the fluctuations in electric power supply

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

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1. A.
   $I = E_{0}\omega csin(\omega t)$
2. B.
   $I = E_{0}\omega c\sin\left( \omega t + \frac{\pi}{2} \right)$
3. C.
   $\ I = \frac{E_{0}}{\omega c}\sin(\omega t)$
4. D.
   $\ I = \frac{E_{0}}{\omega c}\sin\left( \omega t + \frac{\pi}{2} \right)$

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1. A.
   $\frac{V^{2}\text{ }b}{Rg}$
2. B.
   $\frac{V}{Rgb}$
3. C.
   $\frac{V^{2}R}{g}$
4. D.
   $\frac{V^{2}b}{g}$

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1. A.
   $6P_{0}$
2. B.
   $\ 2P_{0}$
3. C.
   $\ 8P_{0}$
4. D.
   $\ 16P_{0}$

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

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

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1. A.
   at a distance of $15r$ from the centre is $\frac{2}{9}\frac{Gm}{r^{2}}$
2. B.
   at a distance of (2.5)r from the center is $\frac{8}{25}\frac{Gm}{r^{2}}$
3. C.
   at a distance of (1.5)r from the center is zero.
4. D.
   between the sphere and spherical shell is uniform.

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1. A.
   2.5 A
2. B.
   5 A
3. C.
   0.25 A
4. D.
   0.025 A

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1. A.
   $\frac{{BA}^{2}}{\mu_{0}\pi}$
2. B.
   $\frac{2BA^{3/2}}{\mu_{0}\sqrt{\pi}}$
3. C.
   $\frac{BA^{3/2}}{\mu_{0}\pi}$
4. D.
   $\frac{\mu_{0}\sqrt{\pi}}{{BA}^{3/2}}$

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

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1. A.
   $1.5 \times 10^{5}\text{ }N$
2. B.
   $3.0 \times 10^{5}\text{ }N$
3. C.
   $4.5 \times 10^{5}\text{ }N$
4. D.
   $9.0 \times 10^{5}\text{ }N$

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

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1. A.
   $\frac{eI}{2\pi}$
2. B.
   $\frac{2\pi}{eI}$
3. C.
   $\frac{e}{2\pi I}$
4. D.
   $\frac{2eI}{\pi}$

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

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

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

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1. A.
   -1600 R
2. B.
   1600 R
3. C.
   -1200 R
4. D.
   800 R

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1. A.
   9
2. B.
   3
3. C.
   81
4. D.
   27

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

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1. A.
   $a = 2,\text{ }b = 10$
2. B.
   $a = 1,\text{ }b = 2$
3. C.
   $a = 2,\text{ }b = 3$
4. D.
   $a = 4,\text{ }b = 3$

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1. A.
   $57.5\%$
2. B.
   $17.5\%$
3. C.
   $27.5\%$
4. D.
   $37.5\%$

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1. A.
   $40\text{ }m/s$
2. B.
   $80\text{ }m/s$
3. C.
   $160\text{ }m/s$
4. D.
   $200\text{ }m/s$

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1. A.
   $\left( \frac{T_{1}}{{\text{ }T}_{2}} \right)^{4}$
2. B.
   $\left( \frac{T_{1}}{{\text{ }T}_{2}} \right)^{2}$
3. C.
   $\left( \frac{T_{2}}{{\text{ }T}_{1}} \right)^{4}$
4. D.
   $\left( \frac{T_{2}}{{\text{ }T}_{1}} \right)^{2}$

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1. A.
   90 cm
2. B.
   9 cm
3. C.
   9 mm
4. D.
   0.9 mm

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1. A.
   ${NH}_{4}{NO}_{3}$
2. B.
   ${Na}_{2}{CO}_{3}$
3. C.
   ${NH}_{4}Cl$
4. D.
   ${Na}_{2}{SO}_{4}$

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1. A.
   Bromoethane
2. B.
   Bromoethane
3. C.
   Ethene
4. D.
   Ethyne

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1. A.
   $\ H_{2}O$
2. B.
   $\ {CrO}_{3}$
3. C.
   dil. NaOH
4. D.
   ${KMnO}_{4}$

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1. A.
   ${KOH}_{(aq)} + {HNO}_{3(aq)} \longrightarrow {KNO}_{3(aq)} + H_{2}O$
2. B.
   $H_{2}O_{(s)} \longrightarrow H_{2}O_{(l)}$
3. C.
   ${NaCl}_{(s)} + aq \longrightarrow {Na}_{(aq)}^{+} + {Cl}_{(aq)}^{-}$
4. D.
   $N_{2(g)} + 2O_{2(g)} \longrightarrow 2{NO}_{2(g)}$

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1. A.
   $2.315 \times 10^{22}$
2. B.
   $3.156 \times 10^{22}$
3. C.
   $4.108 \times 10^{22}$
4. D.
   $1.452 \times 10^{22}$

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1. A.
   $H_{2}O$
2. B.
   ${OH}^{-}$
3. C.
   $C_{2}O_{4}^{2 -}$
4. D.
   CO

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

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1. A.
   $1.3 \times 10^{- 3}\text{ }mol{dm}^{- 3}{\text{ }s}^{- 1}$
2. B.
   $1.3 \times 10^{- 5}\text{ }mol{dm}^{- 3}{\text{ }s}^{- 1}$
3. C.
   $4.0 \times 10^{- 5}\text{ }mol{dm}^{- 3}{\text{ }s}^{- 1}$
4. D.
   $5.2 \times 10^{- 5}\text{ }mol{dm}^{- 3}{\text{ }s}^{- 1}$

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1. A.
   Water is oxidized.
2. B.
   Hydrogen is oxidized.
3. C.
   Silver is reduced.
4. D.
   Hydrogen is reduced.

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1. A.
   He
2. B.
   Ne
3. C.
   Ar
4. D.
   Xe

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1. A.
   $3.5 \times 10^{- 6}$
2. B.
   $2.0 \times 10^{- 5}$
3. C.
   $2.3 \times 10^{- 4}$
4. D.
   $2.5 \times 10^{- 5}$

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

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1. A.
   Ethyl chloride
2. B.
   Ethylene dichloride
3. C.
   Ethanoyl chloride
4. D.
   Ethylidene dichloride

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1. A.
   -2.87 kJ
2. B.
   $\ - 8.60\text{ }kJ$
3. C.
   $\ - 5.74\text{ }kJ$
4. D.
   -11.49 kJ

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1. A.
   $3.19 \times 10^{- 23}{\text{ }cm}^{3}$
2. B.
   $2.72 \times 10^{- 23}{\text{ }cm}^{3}$
3. C.
   $5.44 \times 10^{- 23}{\text{ }cm}^{3}$
4. D.
   $1.48 \times 10^{- 23}{\text{ }cm}^{3}$

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1. A.
   36
2. B.
   38
3. C.
   37
4. D.
   35

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

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1. A.
   314 seconds
2. B.
   240 seconds
3. C.
   404 seconds
4. D.
   444 seconds

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1. A.
   C
2. B.
   Ar
3. C.
   Na
4. D.
   He

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1. A.
   $A_{(s)} + B_{(sq)}^{+ 2} \longrightarrow {\text{ }A}_{(sq)}^{+ 2} + B_{(s)}$
2. B.
   $A_{(s)} + 2{\text{ }B}_{(aq)}^{+} \longrightarrow A_{(aq)}^{+ 2} + 2{\text{ }B}_{(s)}$
3. C.
   $2{\text{ }A}_{(eq)}^{+ 2} + B_{(s)} \longrightarrow 2{\text{ }A}_{(s)} + B_{(aq)}^{+}$
4. D.
   $2{\text{ }A}_{(s)} + B_{(aq)}^{+} \longrightarrow 2{\text{ }A}_{(aq)}^{+ 2} + B_{(s)}$

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1. A.
   $1 \times 10^{- 3}$
2. B.
   $1 \times 10^{- 6}$
3. C.
   $1 \times 10^{- 9}$
4. D.
   $1 \times 10^{- 12}$