MHT-CET 2024 (10 May Shift 2), Paper II, Physics & Chemistry question paper

1. A.
   $1.33\times10^{-5}/{}^\circ C$
2. B.
   $1.66\times10^{-5}/{}^\circ C$
3. C.
   $1.33\times10^{-3}/{}^\circ C$
4. D.
   $1.66\times10^{-3}/{}^\circ C$

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1. A.
   $-0.1$ cm
2. B.
   $-10$ cm
3. C.
   $-20$ cm
4. D.
   $+10$ cm

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

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1. A.
   $4.5\times10^6\,A\,m^{-1}$
2. B.
   $6.0\times10^6\,A\,m^{-1}$
3. C.
   $7.5\times10^6\,A\,m^{-1}$
4. D.
   $9.0\times10^6\,A\,m^{-1}$

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1. A.
   inversely with the intensity of incident radiation and is independent of its frequency.
2. B.
   inversely with the frequency of incident radiation and is independent of its intensity.
3. C.
   linearly with the frequency of incident radiation and depends on its intensity.
4. D.
   linearly with the frequency of incident radiation and is independent of its intensity.

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

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

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1. A.
   The emitter-base junction is reversed biased in n-p-n transistor.
2. B.
   The emitter injects minority carriers into the base region of the p-n-p transistor.
3. C.
   The emitter injects holes into the base of the p-n-p transistor and electrons into the base region of n-p-n transistor.
4. D.
   The emitter injects the base of n-p-n transistor.

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1. A.
   $(100-l)$
2. B.
   $(100-2l)$
3. C.
   $(100-3l)$
4. D.
   $100-\frac{l}{2}$

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

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1. A.
   $G\!\left(\dfrac{V}{V_g}-1\right)$
2. B.
   $\dfrac{G(V+V_g)}{V}$
3. C.
   $\dfrac{G(V-V_g)}{V}$
4. D.
   $\dfrac{G}{V_g}$

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1. A.
   $\dfrac{D^2}{2d}$
2. B.
   $\dfrac{d^2}{2D}$
3. C.
   $\dfrac{D}{2d}$
4. D.
   $\dfrac{d^2}{D}$

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

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1. A.
   increases with increase of slit width.
2. B.
   decreases with increase of slit width.
3. C.
   decreases with decreases of slit width.
4. D.
   may increase or decrease with decrease of slit width.

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1. A.
   1.5 A
2. B.
   0.9 A
3. C.
   0.6 A
4. D.
   0.3 A

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1. A.
   Zero
2. B.
   infinity
3. C.
   unity
4. D.
   same as that at any other temperature.

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

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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.
   $\sqrt{E_1}+\sqrt{E_2}$
2. B.
   $\left(\sqrt{E_1}+\sqrt{E_2}\right)^2$
3. C.
   $\sqrt{E_2}-\sqrt{E_1}$
4. D.
   $\left(\sqrt{E_2}-\sqrt{E_1}\right)^2$

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1. A.
   $\dfrac{2A\epsilon_0 K_1 K_2}{d(3K_1+K_2)}$
2. B.
   $\dfrac{3A\epsilon_0(K_1+K_2)}{d\,K_1 K_2}$
3. C.
   $\dfrac{3A\epsilon_0(K_1+K_2)}{2d\,K_1 K_2}$
4. D.
   $\dfrac{4A\epsilon_0 K_1 K_2}{d(3K_1+K_2)}$

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1. A.
   $2\times10^{-2}\,N$
2. B.
   $4\times10^{-3}\,N$
3. C.
   $2\times10^{2}\,N$
4. D.
   $10^{-2}\,N$

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1. A.
   $50^\circ$
2. B.
   $60^\circ$
3. C.
   $72^\circ$
4. D.
   $90^\circ$

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1. A.
   $\dfrac{2mg(s-h)}{h^2}$
2. B.
   $\dfrac{2mg(s+h)}{h^2}$
3. C.
   $\dfrac{mg(s-h)}{h}$
4. D.
   $\dfrac{mg(s+h)}{h}$

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1. A.
   equal to g
2. B.
   less than g
3. C.
   more than g
4. D.
   zero

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1. A.
   $\frac{81}{16}E$
2. B.
   $\frac{27}{32}E$
3. C.
   $\frac{18}{10}E$
4. D.
   $\frac{9}{4}E$

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1. A.
   $\left(\dfrac{m_2}{m_1+m_2}\right)^{1/2}$
2. B.
   $\left(\dfrac{m_1+m_2}{m_2}\right)^{1/2}$
3. C.
   $\left(\dfrac{m_1}{m_1+m_2}\right)^{1/2}$
4. D.
   $\left(\dfrac{m_2}{m_1-m_2}\right)^{1/2}$

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1. A.
   $mg\!\left(1+\dfrac{\sigma_2}{\sigma_1}\right)$
2. B.
   $mg\!\left(1-\dfrac{\sigma_1}{\sigma_2}\right)$
3. C.
   $mg\!\left(1-\dfrac{\sigma_2}{\sigma_1}\right)$
4. D.
   $mg\!\left(1+\dfrac{\sigma_1}{\sigma_2}\right)$

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1. A.
   Wavelength is increased to $\frac{1}{\sqrt{2}}$ times.
2. B.
   Wavelength is increased to $\frac{1}{2}$ times.
3. C.
   Wavelength is decreased to $\frac{1}{\sqrt{2}}$ times.
4. D.
   Wavelength is decreased to $\frac{1}{2}$ times.

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1. A.
   $\frac{2}{5}MR^2$
2. B.
   $\frac{5}{2}MR^2$
3. C.
   $\frac{5}{21}MR^2$
4. D.
   $\frac{21}{5}MR^2$

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1. A.
   $\frac{\pi}{8}\,m$
2. B.
   $\frac{\pi}{9}\,m$
3. C.
   $\frac{\pi}{6}\,m$
4. D.
   $\frac{\pi}{3}\,m$

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

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1. A.
   $-80\,V$
2. B.
   $-120\,V$
3. C.
   $80\,V$
4. D.
   $120\,V$

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1. A.
   $\dfrac{MV^2}{R}$
2. B.
   $\dfrac{MV^2}{2R}$
3. C.
   $\dfrac{MV^2}{3R}$
4. D.
   $\dfrac{3MV^2}{2R}$

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1. A.
   0.025 J
2. B.
   0.050 J
3. C.
   0.075 J
4. D.
   0.100 J

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1. A.
   $4\times10^{34}\,m^{-3}$
2. B.
   $4\times10^{28}\,m^{-3}$
3. C.
   $4\times10^{22}\,m^{-3}$
4. D.
   $4\times10^{20}\,m^{-3}$

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

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

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1. A.
   $\frac{V}{3}\hat{i}+2V\hat{j}$
2. B.
   $\frac{V}{2}\hat{i}+V\hat{j}$
3. C.
   $\frac{V}{3}\hat{i}-2V\hat{j}$
4. D.
   $\frac{V}{2}\hat{i}-V\hat{j}$

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1. A.
   $\frac{3Gm_1m_2}{L^2}$
2. B.
   $\frac{6Gm_1m_2}{L^2}$
3. C.
   $\frac{9Gm_1m_2}{L^2}$
4. D.
   $\frac{12Gm_1m_2}{L^2}$

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1. A.
   $\dfrac{4\epsilon_0^2 h^4}{\pi^2 me^4}$
2. B.
   $\dfrac{8\epsilon_0^2 h^4}{\pi^2 e^4}$
3. C.
   $\dfrac{16\epsilon_0^2 h^4}{\pi^2 me^4}$
4. D.
   $\dfrac{\epsilon_0^2 h^4}{16\pi^2 me^4}$

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

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1. A.
   Graph (a)
2. B.
   Graph (b)
3. C.
   Graph (c)
4. D.
   Graph (d)

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

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1. A.
   30 V
2. B.
   200 V
3. C.
   300 V
4. D.
   400 V

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1. A.
   OR gate
2. B.
   NOT gate
3. C.
   NOR gate
4. D.
   AND gate

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1. A.
   $\sqrt{\frac{T}{\rho}\!\left(\frac{1}{r}-\frac{1}{R}\right)}$
2. B.
   $\sqrt{\frac{2T}{\rho}\!\left(\frac{1}{r}-\frac{1}{R}\right)}$
3. C.
   $\sqrt{\frac{4T}{\rho}\!\left(\frac{1}{r}-\frac{1}{R}\right)}$
4. D.
   $\sqrt{\frac{6T}{\rho}\!\left(\frac{1}{r}-\frac{1}{R}\right)}$

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

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

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1. A.
   200 m/s
2. B.
   300 m/s
3. C.
   400 m/s
4. D.
   600 m/s

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1. A.
   1:6
2. B.
   3:8
3. C.
   2:3
4. D.
   3:4

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1. A.
   4.36
2. B.
   4.76
3. C.
   5.16
4. D.
   5.36

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1. A.
   $4.0\times10^{-5}\,\text{mol L}^{-1}$
2. B.
   $8.0\times10^{-7}\,\text{mol L}^{-1}$
3. C.
   $7.5\times10^{-5}\,\text{mol L}^{-1}$
4. D.
   $6.4\times10^{-4}\,\text{mol L}^{-1}$

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1. A.
   Acetaldehyde
2. B.
   Acetic acid
3. C.
   Methane
4. D.
   Methyl alcohol

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1. A.
   It is obtained from ethene.
2. B.
   It needs high pressure (1000–2000 atm) for synthesis.
3. C.
   Polymerization occurs in presence of Ziegler–Natta catalyst.
4. D.
   Melting point is higher than LDP.

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1. A.
   $0.029\,\text{mol dm}^{-3}$
2. B.
   $0.022\,\text{mol dm}^{-3}$
3. C.
   $0.032\,\text{mol dm}^{-3}$
4. D.
   $0.038\,\text{mol dm}^{-3}$

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1. A.
   0.625 atm
2. B.
   0.744 atm
3. C.
   0.827 atm
4. D.
   0.936 atm

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1. A.
   These substances have sharp melting point.
2. B.
   These have different values of refractive index in different directions.
3. C.
   The constituent particles are orderly arranged.
4. D.
   These are isotropic.

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1. A.
   2.2%
2. B.
   3.5%
3. C.
   4.2%
4. D.
   1.0%

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1. A.
   Monodentate
2. B.
   Bidentate
3. C.
   Tetradentate
4. D.
   Hexadentate

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

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1. A.
   CrO$_3$
2. B.
   CO, HCl/AlCl$_3$ (anhyd.)
3. C.
   CrO$_2$Cl$_2$, CS$_2$
4. D.
   Cl$_2$/h$\nu$, H$_3$O$^+$

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1. A.
   K$_3$[Al(C$_2$O$_4$)$_3$]
2. B.
   [Co(C$_2$O$_4$)$_3$]$^{3-}$
3. C.
   Na$_3$[AlF$_6$]
4. D.
   [Co(H$_2$O)(NH$_3$)$_5$]I$_3$

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1. A.
   Chloroform
2. B.
   Water
3. C.
   Carbon tetrachloride
4. D.
   Carbon disulphide

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1. A.
   Formation of oxide or alcohol-bridged network.
2. B.
   Dehydration.
3. C.
   Aging of the gel.
4. D.
   Drying of the gel.

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1. A.
   $1.8\times10^{-5}\,s^{-1}$
2. B.
   $1.5\times10^{-5}\,s^{-1}$
3. C.
   $2.1\times10^{-5}\,s^{-1}$
4. D.
   $2.4\times10^{-5}\,s^{-1}$

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1. A.
   $\dfrac{h}{2\pi}$
2. B.
   $\dfrac{h}{\pi}$
3. C.
   $\dfrac{2h}{\pi}$
4. D.
   $\dfrac{3h}{\pi}$

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1. A.
   Natural rubber
2. B.
   Polypropene
3. C.
   PVC
4. D.
   Terylene

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1. A.
   $-8.00\,\text{kJ}$
2. B.
   $15.0\,\text{kJ}$
3. C.
   $30.0\,\text{kJ}$
4. D.
   $-88.4\,\text{kJ}$

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1. A.
   Glycogen
2. B.
   Cellulose
3. C.
   Ribose
4. D.
   Stachyose

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

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1. A.
   N
2. B.
   C
3. C.
   O
4. D.
   H

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1. A.
   Mass and heat capacity
2. B.
   Heat capacity and pressure
3. C.
   Specific heat and pressure
4. D.
   Internal energy and boiling point

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1. A.
   $8.144\times10^{-3}\,\Omega^{-1}\,\text{cm}^{-1}$
2. B.
   $4.072\times10^{-3}\,\Omega^{-1}\,\text{cm}^{-1}$
3. C.
   $7.15\times10^{-3}\,\Omega^{-1}\,\text{cm}^{-1}$
4. D.
   $6.055\times10^{-3}\,\Omega^{-1}\,\text{cm}^{-1}$

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1. A.
   CaCO$_3$(s)
2. B.
   CaCl$_2$(aq)
3. C.
   CaSO$_4$(s)
4. D.
   NaCl(aq)

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1. A.
   Propionic acid
2. B.
   Oxalic acid
3. C.
   Malonic acid
4. D.
   Citric acid

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1. A.
   Group 4 to 13, period-3
2. B.
   Group 3 to 12, period-4
3. C.
   Group 5 to 14, period-4
4. D.
   Group 3 to 12, period-5

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1. A.
   alcohol > amine > alkane
2. B.
   alkane > amine > alcohol
3. C.
   amine > alcohol > alkane
4. D.
   alkane > alcohol > amine

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1. A.
   As and O
2. B.
   Br and As
3. C.
   As and Br
4. D.
   Br and O

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

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1. A.
   Both $\Lambda$ and $\kappa$ increase
2. B.
   Both $\Lambda$ and $\kappa$ decrease
3. C.
   $\Lambda$ increases and $\kappa$ decreases
4. D.
   $\Lambda$ decreases and $\kappa$ increases

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