MHT-CET 2024 (12 May Shift 2), Paper II, Physics & Chemistry question paper

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

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

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1. A.
   $\frac{L_1}{L_2}$
2. B.
   $\frac{L_2}{L_1}$
3. C.
   $\left(\frac{L_1}{L_2}\right)^{2/3}$
4. D.
   $\left(\frac{L_2}{L_1}\right)^{2/3}$

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1. A.
   0.1 s
2. B.
   0.2 s
3. C.
   0.4 s
4. D.
   0.5 s

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

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1. A.
   Gravitational force is stronger than electrostatic force.
2. B.
   Gravitational as well as electrostatic force is always attractive.
3. C.
   Gravitational as well as electrostatic force always act along the line joining the two objects
4. D.
   Inverse square law $F \propto \frac{1}{r^2}$ is not observed by electrostatic force.

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1. A.
   $4\pi \times 10^{-26}$ T
2. B.
   $2\pi \times 10^{-26}$ T
3. C.
   $4\pi \times 10^{-19}$ T
4. D.
   $2\pi \times 10^{-19}$ T

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

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

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1. A.
   1.65
2. B.
   1.60
3. C.
   1.55
4. D.
   1.50

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1. A.
   0.06 m
2. B.
   0.10 m
3. C.
   0.09 m
4. D.
   0.07 m

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1. A.
   $\frac{Kq_1q_2 x}{d(d-x)}$
2. B.
   $\frac{Kq_1q_2 d}{(d-x)^2}$
3. C.
   $\frac{Kq_1q_2}{d^2-x^2}$
4. D.
   $\frac{Kq_1q_2 x}{d^2-x^2}$

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1. A.
   $10\,\Omega$
2. B.
   $12\,\Omega$
3. C.
   $15\,\Omega$
4. D.
   $20\,\Omega$

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

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1. A.
   velocity of fluid at given point is never constant
2. B.
   velocity is smaller than critical velocity.
3. C.
   layers are always parallel.
4. D.
   the particles do not move in random direction.

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

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1. A.
   $7.5 \times 10^{-5}$/°C
2. B.
   $6.75 \times 10^{-5}$/°C
3. C.
   $2.5 \times 10^{-5}$/°C
4. D.
   $1.5 \times 10^{-5}$/°C

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1. A.
   $4\pi \times 10^{-7}$ T
2. B.
   $5\pi \times 10^{-7}$ T
3. C.
   $2\pi \times 10^{-5}$ T
4. D.
   $7\pi \times 10^{-6}$ T

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1. A.
   6.2
2. B.
   5.3
3. C.
   4.8
4. D.
   7.4

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

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

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1. A.
   $\mu_0\pi\left(\frac{nd}{2}\right)^2$
2. B.
   $4\mu_0\pi\left(\frac{nd}{2}\right)$
3. C.
   $\frac{\mu_0\pi nd}{2}$
4. D.
   $\frac{4\mu_0\pi}{n^2d^2}$

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1. A.
   zero
2. B.
   $mg$
3. C.
   $3\,mg$
4. D.
   $6\,mg$

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1. A.
   $\frac{N_1 T_1}{N_2 T_2}$
2. B.
   $\frac{N_2 T_2}{N_1 T_1}$
3. C.
   $\frac{N_1 T_2}{N_2 T_1}$
4. D.
   $\frac{N_1 T_2}{N_1 T_2}$

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1. A.
   16:1
2. B.
   256:1
3. C.
   81:1
4. D.
   128:1

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

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1. A.
   the momentum changes by $mv$
2. B.
   the momentum changes by $2mv$
3. C.
   the kinetic energy changes by $\frac{1}{2}mv^2$
4. D.
   the kinetic energy changes by $mv^2$

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1. A.
   $10\,\Omega$
2. B.
   $15\,\Omega$
3. C.
   $20\,\Omega$
4. D.
   $25\,\Omega$

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1. A.
   $\frac{1}{2}\frac{gt_1}{t_2}$
2. B.
   $\frac{1}{2}gt_1t_2$
3. C.
   $gt_1t_2$
4. D.
   $2gt_1t_2$

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1. A.
   6
2. B.
   9
3. C.
   12
4. D.
   15

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

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1. A.
   $\frac{2(l+e)}{3}$
2. B.
   $\frac{2(l+2e)}{3}$
3. C.
   $\frac{4(l+e)}{5}$
4. D.
   $\frac{4(l+2e)}{5}$

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

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

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1. A.
   $m_1$
2. B.
   $m_2$
3. C.
   $m_3$
4. D.
   $m_4$

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1. A.
   $\frac{3mL^2}{5\pi^2}$
2. B.
   $\frac{3mL^3}{8\pi^2}$
3. C.
   $\frac{3mL^3}{4\pi^2}$
4. D.
   $\frac{3mL^2}{7\pi^2}$

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1. A.
   4.00 mV
2. B.
   3.75 mV
3. C.
   3.00 mV
4. D.
   2.50 mV

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1. A.
   $\frac{2F}{3}$
2. B.
   $\frac{F}{\sqrt{1.5}}$
3. C.
   $F$
4. D.
   $\frac{F}{3}$

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

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1. A.
   Energy exchanged is used to do work.
2. B.
   Perfect thermal equilibrium with environment
3. C.
   Equation of state pV is not constant.
4. D.
   No change in internal energy.

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

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1. A.
   256 Hz
2. B.
   288 Hz
3. C.
   297 Hz
4. D.
   320 Hz

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1. A.
   25 V
2. B.
   2.5 V
3. C.
   250 V
4. D.
   20 V

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

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1. A.
   LEDs are energy efficient.
2. B.
   LED have long life time if properly manufactured.
3. C.
   Brightness of light emitted by LED cannot be controlled
4. D.
   Colours produced by LED do not fade out.

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

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

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1. A.
   5:6
2. B.
   6:5
3. C.
   9:13
4. D.
   13:9

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1. A.
   10 C
2. B.
   15 C
3. C.
   20 C
4. D.
   25 C

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1. A.
   5:125
2. B.
   5:81
3. C.
   7:27
4. D.
   9:132

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1. A.
   The driving and opposing forces differ by large amount.
2. B.
   The process can be reversed by infinitesimal change in pressure.
3. C.
   A reversible process occurs very slowly.
4. D.
   The system attains mechanical equilibrium at the end of every step

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1. A.
   +2 to +3
2. B.
   -2 to +3
3. C.
   +7 to +3
4. D.
   +6 to +3

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1. A.
   It needs $O_2$ or peroxide initiator in synthesis process
2. B.
   It is a branched chain polymer.
3. C.
   It needs low pressure about 6-4 atm in synthesis process.
4. D.
   It is a branched chain polymer.

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1. A.
   Myosin
2. B.
   Insulin
3. C.
   Legumelin
4. D.
   Serum albumin

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1. A.
   Fitting reaction
2. B.
   Friedel Crafts reaction
3. C.
   Finkelstein reaction
4. D.
   Swartz reaction

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1. A.
   473.6 pm
2. B.
   334.6 pm
3. C.
   386.3 pm
4. D.
   836.5 pm

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1. A.
   Red
2. B.
   Blue
3. C.
   Yellow
4. D.
   Violet

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1. A.
   $CH_3{-}CH_2{-}CH{=}CH{-}X$
2. B.
   $CH_3{-}C{\equiv}C{-}CH_2{-}X$
3. C.
   $CH{\equiv}C{-}CH_2{-}CH_2{-}X$
4. D.
   $CH_3{-}CH_2{-}C{\equiv}C{-}X$

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1. A.
   $1.26 \times 10^{-5}$ M
2. B.
   $1.00 \times 10^{-9}$ M
3. C.
   $2.6 \times 10^{-5}$ M
4. D.
   $1.56 \times 10^{-9}$ M

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1. A.
   o-nitrochlorobenzene
2. B.
   p-nitrochlorobenzene
3. C.
   m-nitrochlorobenzene
4. D.
   2,4,6-trinitrochlorobenzene

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1. A.
   -0.05 V
2. B.
   0.03 V
3. C.
   -0.06 V
4. D.
   0.07 V

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1. A.
   CO(g)
2. B.
   CO₂(g)
3. C.
   COCl₂(g)
4. D.
   H₂(g)

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

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1. A.
   Dalton's law
2. B.
   Avogadro's law
3. C.
   Raoult's law
4. D.
   Henry's law

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1. A.
   3.34
2. B.
   4.80
3. C.
   5.44
4. D.
   6.93

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1. A.
   3n
2. B.
   4n
3. C.
   5n
4. D.
   6n

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1. A.
   1-chloro-4-methylcyclohexan-2-one
2. B.
   2-chloro-3-methylcyclohexanone
3. C.
   2-chloro-4-methylcyclohexanone
4. D.
   4-methyl-2-chlorocyclohexanone

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1. A.
   -COOR
2. B.
   -COCl
3. C.
   >C=O
4. D.
   -CONH₂

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1. A.
   NO₂(g)
2. B.
   NO(g)
3. C.
   SO₂(g)
4. D.
   O₂(g)

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1. A.
   $0.055$ mol dm⁻³
2. B.
   $0.028$ mol dm⁻³
3. C.
   $0.083$ mol dm⁻³
4. D.
   $0.11$ mol dm⁻³

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1. A.
   Neoprene
2. B.
   Terylene
3. C.
   Polystyrene
4. D.
   Bakelite

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1. A.
   122.5 g
2. B.
   81.67 g
3. C.
   10.25 g
4. D.
   8.16 g

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

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1. A.
   $2.8$ g cm⁻³
2. B.
   $2.1$ g cm⁻³
3. C.
   $3.5$ g cm⁻³
4. D.
   $4.1$ g cm⁻³

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1. A.
   At
2. B.
   Zn
3. C.
   As
4. D.
   Te

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1. A.
   $CaSO_4 \cdot 2H_2O$
2. B.
   $PbS$
3. C.
   $ZnS$
4. D.
   $BaSO_4$

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1. A.
   Valeric acid
2. B.
   Caproic acid
3. C.
   Glutaric acid
4. D.
   Butyric acid

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1. A.
   Chlorobenzene
2. B.
   Benzyl alcohol
3. C.
   Benzenediazonium chloride
4. D.
   Phenol

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1. A.
   Cyclohexylamine
2. B.
   Allylamine
3. C.
   Trimethylamine
4. D.
   Diphenylamine

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1. A.
   $3\lambda_{A^{3+}}^0 + \lambda_{B^-}^0$
2. B.
   $\lambda_{A^{3+}}^0 + \lambda_{B^-}^0$
3. C.
   $\lambda_{A^{3+}}^0 + 3\lambda_{B^-}^0$
4. D.
   $2\lambda_{A^{3+}}^0 + \lambda_{B^-}^0$

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1. A.
   NH₄Cl
2. B.
   NH₄NO₃
3. C.
   CuSO₄
4. D.
   Na₂SO₄

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1. A.
   ionic solid
2. B.
   covalent network solid
3. C.
   molecular solid
4. D.
   metallic solid

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1. A.
   $5.6 \times 10^{-3}$ min⁻¹
2. B.
   $4.5 \times 10^{-3}$ min⁻¹
3. C.
   $6.5 \times 10^{-3}$ min⁻¹
4. D.
   $9.69 \times 10^{-3}$ min⁻¹

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1. A.
   $0.25$ mol dm⁻³ s⁻¹
2. B.
   $0.5$ mol dm⁻³ s⁻¹
3. C.
   $0.75$ mol dm⁻³ s⁻¹
4. D.
   $1.25$ mol dm⁻³ s⁻¹

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1. A.
   Ba
2. B.
   Sr
3. C.
   Ra
4. D.
   Ru

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

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1. A.
   Benzene
2. B.
   Benzyl alcohol
3. C.
   Benzaldehyde
4. D.
   Chlorobenzene

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1. A.
   H₂
2. B.
   N₂
3. C.
   Cl₂
4. D.
   O₂

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

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1. A.
   $6.0 \times 10^{-5}$ Ω⁻¹ cm⁻¹
2. B.
   $3.0 \times 10^{-5}$ Ω⁻¹ cm⁻¹
3. C.
   $9.0 \times 10^{-5}$ Ω⁻¹ cm⁻¹
4. D.
   $12 \times 10^{-5}$ Ω⁻¹ cm⁻¹

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1. A.
   210 J
2. B.
   90 J
3. C.
   450 J
4. D.
   -300 J

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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.
   $TiO_2$
2. B.
   Pd
3. C.
   Pt
4. D.
   Au