MHT-CET 2025 (21 April Shift II), Paper II, Physics & Chemistry question paper

1. A.
   $3\%$
2. B.
   $2\%$
3. C.
   $6\%$
4. D.
   $9\%$

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1. A.
   $I_{Q} = I_{G}$
2. B.
   $I_{Q} = I_{R}$
3. C.
   $I_{R} = I_{G}$
4. D.
   $I_{P} = I_{G}$

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1. A.
   $\frac{- 3\widehat{i} + \widehat{j} + 5\widehat{k}}{\sqrt{35}}$
2. B.
   $\frac{\widehat{i} + 2\widehat{j} - 4\widehat{k}}{\sqrt{35}}$
3. C.
   $\frac{- 2\widehat{i} + 3\widehat{j} + \widehat{k}}{\sqrt{35}}$
4. D.
   $\frac{- \widehat{i} + 5\widehat{j} - 3\widehat{k}}{\sqrt{35}}$

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1. A.
   $\frac{I\omega^{2}}{16}$
2. B.
   $\frac{I\omega^{2}}{8}$
3. C.
   $\frac{I\omega^{2}}{4}$
4. D.
   $\frac{I\omega^{2}}{2}$

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1. A.
   $\frac{1 + b}{\sqrt{b}}$
2. B.
   $\frac{1 + b}{2\sqrt{b}}$
3. C.
   $\frac{2\sqrt{b}}{1 + b}$
4. D.
   $\frac{2\sqrt{b}}{(1 + b)^{2}}$

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

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1. A.
   $\frac{\chi}{2} \times 100$
2. B.
   $2\chi \times 100$
3. C.
   $(1 + \chi) \times 100$
4. D.
   $\ \chi \times 100$

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1. A.
   $\frac{9{\text{ }h}^{2}}{8\pi^{2}I}$
2. B.
   $\frac{3{\text{ }h}^{2}}{8\pi^{2}I}$
3. C.
   $\frac{6{\text{ }h}^{2}}{8\pi I}$
4. D.
   $\ \frac{12{\text{ }h}^{2}}{7\pi^{2}I}$

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

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

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

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1. A.
   $\frac{1}{6}$
2. B.
   27
3. C.
   3
4. D.
   9

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

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

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1. A.
   Different colours of light are due to different wavelengths of waves.
2. B.
   Different colours of light are due to different sizes of the corpuscles.
3. C.
   Speed of light in denser medium is less than that in rarer medium.
4. D.
   It can explain laws of reflection and refraction.

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1. A.
   $\frac{MV}{2}\text{ }N$
2. B.
   $\ 2MVN$
3. C.
   Zero N
4. D.
   MVN

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1. A.
   $\frac{B_{1}}{9}$
2. B.
   $\ 9{\text{ }B}_{1}$
3. C.
   $\ 3{\text{ }B}_{1}$
4. D.
   $\frac{B_{1}}{3}$

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

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

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1. A.
   48 s
2. B.
   42 s
3. C.
   50 s
4. D.
   45 s

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1. A.
   171 K
2. B.
   399 K
3. C.
   342 K
4. D.
   285 K

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1. A.
   $\ V_{0}R\omega C$
2. B.
   $\frac{V_{0}}{R\omega C}$
3. C.
   $\frac{V_{0}}{2R\omega C}$
4. D.
   $\frac{V_{0}}{\sqrt{2}R\omega C}$

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1. A.
   $\cos^{- 1}(0.75)$
2. B.
   $\ \cos^{- 1}(0.5)$
3. C.
   $\sin^{- 1}(0.5)$
4. D.
   $\ \sin^{- 1}(0.75)$

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1. A.
   $n^{- 2}$
2. B.
   $n^{- 3}$
3. C.
   $n^{- 4}$
4. D.
   $n^{- 5}$

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1. A.
   same as at 200 K
2. B.
   twice the value at 200 K
3. C.
   four times the value at 200 K
4. D.
   half the value at 200 K

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

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1. A.
   induced current in the coil is zero.
2. B.
   induced current in the coil is anticlockwise.
3. C.
   induced current in the coil is clockwise.
4. D.
   ring will come to rest.

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1. A.
   $(A \cdot \overline{B}) + (\overline{A} \cdot B)$
2. B.
   $(A \cdot B) + (\overline{A} \cdot B)$
3. C.
   $(\overline{A \cdot B}) + (\overline{A \cdot B})$
4. D.
   $(\overline{A \cdot B}) + (A \cdot \overline{B})$

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1. A.
   $\ 4R_{0}$
2. B.
   $\ 16R_{0}$
3. C.
   $36R_{0}$
4. D.
   $\frac{81R_{0}}{16}$

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1. A.
   zero
2. B.
   $\frac{5\sigma r}{6\varepsilon_{0}}$
3. C.
   $\frac{1}{4\pi\varepsilon_{0}}\frac{\sigma}{r}$
4. D.
   $\frac{\sigma r}{3\varepsilon_{0}}$

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1. A.
   296 Hz
2. B.
   294 Hz
3. C.
   306 Hz
4. D.
   304 Hz

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1. A.
   112
2. B.
   192
3. C.
   224
4. D.
   316

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1. A.
   1296 N
2. B.
   1000 N
3. C.
   720 N
4. D.
   500 N

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1. A.
   Wavelength $= 10\text{ }m$
2. B.
   Velocity $= 1.5\text{ }m/s$
3. C.
   Amplitude $= 3\text{ }cm$
4. D.
   Frequency $= 0.2\text{ }Hz$

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1. A.
   0.04 A
2. B.
   0.06 A
3. C.
   0.08 A
4. D.
   0.10 A

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1. A.
   $0.1\text{ }m/s$
2. B.
   $1\text{ }m/s$
3. C.
   $10\text{ }m/s$
4. D.
   $100\text{ }m/s$

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

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1. A.
   $\frac{\varepsilon_{0}{AV}^{2}}{3\text{ }d}$
2. B.
   $\frac{\varepsilon_{0}AV^{2}}{4d}$
3. C.
   $\frac{2\varepsilon_{0}{AV}^{2}}{\text{ }d}$
4. D.
   $\frac{3\varepsilon_{0}{AV}^{2}}{2\text{ }d}$

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

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

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

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1. A.
   low resistance in parallel.
2. B.
   high resistance in series.
3. C.
   high resistance in parallel.
4. D.
   low resistance in series.

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

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

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1. A.
   $6\text{ }m/s$
2. B.
   $\sqrt{3}\text{ }m/s$
3. C.
   $\sqrt{6}\text{ }m/s$
4. D.
   $3\text{ }m/s$

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1. A.
   98 m
2. B.
   49 m
3. C.
   196 m
4. D.
   24.5 m

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

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1. A.
   $\frac{18\varepsilon_{0}}{7}$
2. B.
   $\frac{20\varepsilon_{0}}{9}$
3. C.
   $\frac{16\varepsilon_{0}}{7}$
4. D.
   $\frac{14\varepsilon_{0}}{5}$

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

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

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1. A.
   Benzene-1,2-diol
2. B.
   Benzene-1,3-diol
3. C.
   Benzene-1,4-diol
4. D.
   Benzene-1,3,5-triol

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1. A.
   Methionine
2. B.
   Lysine
3. C.
   Glutamic acid
4. D.
   Glycine

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1. A.
   ${Sc}^{3 +}$
2. B.
   ${Ti}^{4 +}$
3. C.
   ${Zn}^{2 +}$
4. D.
   ${Cr}^{3 +}$

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1. A.
   2-single bonds and 2-double bonds
2. B.
   3-single bonds and 1-double bond
3. C.
   2-single bonds and 3-double bonds
4. D.
   1-single bond and 3-double bonds

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1. A.
   $1.3 \times 10^{- 23}$
2. B.
   $1.6 \times 10^{- 23}$
3. C.
   $4.1 \times 10^{- 23}$
4. D.
   $5.8 \times 10^{- 23}$

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1. A.
   -650 kJ
2. B.
   -1950 kJ
3. C.
   -1299 kJ
4. D.
   -2598 kJ

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

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1. A.
   Concentration of A is doubled and concentration of B is kept constant.
2. B.
   Concentration of $B$ is doubled and concentration of A is kept constant.
3. C.
   Concentration of $B$ is doubled and concentration of $A$ is halved.
4. D.
   Concentration of A is kept constant and concentration of B is halved.

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1. A.
   Wirtz reaction
2. B.
   Fitting reaction
3. C.
   Wurtzilite reaction
4. D.
   Friedel Crafts reaction

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1. A.
   $Ar - {NO}_{2}$
2. B.
   $Ar - F$
3. C.
   $\ Ar - Cl$
4. D.
   $Ar - H$

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1. A.
   Salvarsan
2. B.
   Thymol
3. C.
   Sulphanilamide
4. D.
   Chloramphenicol

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1. A.
   +0.9184 V
2. B.
   -0.9184 V
3. C.
   +0.6816 V
4. D.
   -0.6816 V

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1. A.
   0.13 K
2. B.
   0.24 K
3. C.
   0.38 K
4. D.
   0.54 K

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1. A.
   o-nitro ethylbenzene
2. B.
   p-Nitro ethylbenzene
3. C.
   Methoxybenzene
4. D.
   Benzoic acid

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1. A.
   $- \frac{1}{2}\frac{\text{ }d\lbrack NO\rbrack}{dt} = \frac{d\left\lbrack H_{2}O \right\rbrack}{dt}$
2. B.
   $- \frac{d\lbrack NO\rbrack}{dt} = \frac{d\left\lbrack H_{2}O \right\rbrack}{dt}$
3. C.
   $\ - \frac{3}{2}\frac{\text{ }d\lbrack NO\rbrack}{dt} = \frac{d\left\lbrack H_{2}O \right\rbrack}{dt}$
4. D.
   $2\frac{\text{ }d\left\lbrack H_{2} \right\rbrack}{dt} = \frac{d\left\lbrack N_{2} \right\rbrack}{dt}$

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1. A.
   Alkanes with less than 10 C atoms
2. B.
   Alkanes having 20 C to 25 C atoms
3. C.
   Alkanes having 25 C to 30 C atoms
4. D.
   Alkanes having more than 35 C atoms

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1. A.
   ${CH}_{4}$
2. B.
   ${CH}_{3}COOH$
3. C.
   $\ {CH}_{3}{CH}_{2}{NH}_{2}$
4. D.
   $\ {CH}_{3}{NH}_{2}$

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1. A.
   $4n$ and $2n$
2. B.
   $4n$ and $4n$
3. C.
   $6n$ and $14n$
4. D.
   $6n$ and $6n$

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1. A.
   $\ E_{\text{cell~}}^{\circ} = E_{\text{(cathode)~}}^{\circ} - E_{\text{(anode)~}}^{\circ}$
2. B.
   $\ E_{\text{cell~}}^{\circ} = \frac{0.0592}{n} \times \log_{10}\text{ }K$
3. C.
   $E_{\text{cell~}}^{\circ} = \frac{\Delta G^{\circ}}{nF}$
4. D.
   $E_{\text{cell~}}^{\circ} = E_{\text{(anode)~}}^{\circ} + E_{\text{(cathode)~}}^{\circ}$

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1. A.
   (IV) $>$ (II) $>$ (I) $>$ (III)
2. B.
   (III) $>$ (IV)$>$ (I) $>$ (II)
3. C.
   (I) $>$ (III) $>$ (IV) $>$ (II)
4. D.
   (II) $>$ (III) $>$ (I) $>$ (IV)

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1. A.
   These are the atoms of same elements.
2. B.
   They have same chemical properties.
3. C.
   They occupy same position in the modern periodic table.
4. D.
   They have equal number of neutrons.

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1. A.
   Benzene
2. B.
   Benzoic acid
3. C.
   Benzaldehyde
4. D.
   p-Benzoquinone

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1. A.
   $1.04 \times 10^{- 8}$
2. B.
   $1.44 \times 10^{- 6}$
3. C.
   $1.30 \times 10^{- 6}$
4. D.
   $1.18 \times 10^{- 5}$

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1. A.
   $5.06 \times 10^{- 10}$
2. B.
   $4.096 \times 10^{- 9}$
3. C.
   $3.05 \times 10^{- 10}$
4. D.
   $2.8 \times 10^{- 9}$

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1. A.
   $\frac{x}{m} = {kp}^{\frac{1}{n}}$
2. B.
   $\frac{m}{x} = kp^{\frac{1}{n}}$
3. C.
   $\frac{x}{m} = {kp}^{n}$
4. D.
   $\frac{m}{x} = {kp}^{n}$

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1. A.
   To prepare gel used in electrophoresis.
2. B.
   To obtain paints.
3. C.
   To obtain decorative laminates.
4. D.
   To obtain food grade plastic container.

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1. A.
   Sucrose
2. B.
   Maltose
3. C.
   Starch
4. D.
   Lactose

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1. A.
   LnC
2. B.
   $\ {LnC}_{2}$
3. C.
   ${Ln}_{3}C$
4. D.
   ${LnC}_{3}$

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1. A.
   $I_{2}$ is an oxidising agent
2. B.
   ${KClO}_{3}$ is reducing agent
3. C.
   Oxidation number of ' Cl ' decreases by 6
4. D.
   Oxidation number of I increase by 2