MHT-CET 2021, Paper II, Physics & Chemistry question paper

1. A.
   $s \leq \frac{v_A - v_B}{2}$
2. B.
   $s \leq \frac{(v_A - v_B)^2}{2a}$
3. C.
   $s \geq \frac{v_A - v_B}{2}$
4. D.
   $s = \frac{v_A - v_B}{2a}$

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1. A.
   6 m
2. B.
   12 m
3. C.
   16 m
4. D.
   18 m

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1. A.
   180 m
2. B.
   120 m
3. C.
   140 m
4. D.
   110 m

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1. A.
   7 m
2. B.
   8.6 m
3. C.
   9.6 m
4. D.
   10 m

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1. A.
   5 m/s
2. B.
   10 m/s
3. C.
   15 m/s
4. D.
   20 m/s

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1. A.
   6 m from 2 kg sphere
2. B.
   2 m from 4 kg sphere
3. C.
   3 m from 2 kg sphere
4. D.
   6 m from 4 kg sphere

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1. A.
   $\frac{3}{2}$ times kinetic energy per unit volume of gas
2. B.
   $\frac{1}{3}$ of kinetic energy per unit volume of a gas
3. C.
   $\frac{3}{4}$ of kinetic energy per unit volume of a gas
4. D.
   $\frac{2}{3}$ of kinetic energy per unit volume of a gas

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1. A.
   A black body emits all wavelengths.
2. B.
   Intensity is less for longer wavelengths.
3. C.
   Intensity is same for all wavelengths.
4. D.
   Intensity is more for shorter wavelengths.

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1. A.
   8 times
2. B.
   20 times
3. C.
   16 times
4. D.
   12 times

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1. A.
   $p$ may increase or decrease
2. B.
   $T$ will decrease
3. C.
   $V$ will increase
4. D.
   $T$ will increase

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1. A.
   $2\pi\sqrt{\frac{x_2^2 - x_1^2}{v_2^2 - v_1^2}}$
2. B.
   $2\pi\sqrt{\frac{x_1^2 - x_2^2}{v_2^2 - v_1^2}}$
3. C.
   $2\pi\sqrt{\frac{x_1 x_2}{v_2^2 - v_1^2}}$
4. D.
   $2\pi\sqrt{\frac{x_1 + x_2}{v_1 v_2}}$

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1. A.
   16 m/s
2. B.
   1.6 m/s
3. C.
   0.16 m/s
4. D.
   0.016 m/s

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1. A.
   0.05 m
2. B.
   0.10 m
3. C.
   0.12 m
4. D.
   0.72 m

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1. A.
   $1\ \text{ms}^{-1}$
2. B.
   $2\ \text{ms}^{-1}$
3. C.
   $5\ \text{ms}^{-1}$
4. D.
   $7\ \text{ms}^{-1}$

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1. A.
   $\frac{A\varepsilon_0}{2\left(d - t\left(1-\frac{1}{k}\right)\right)}$
2. B.
   $\frac{A\varepsilon_0}{d + t\left(1+\frac{1}{k}\right)}$
3. C.
   $\frac{A\varepsilon_0}{d - t\left(1-\frac{1}{k}\right)}$
4. D.
   $\frac{A\varepsilon_0}{d - t\left(1+\frac{1}{k}\right)}$

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1. A.
   By increasing $S$ by $3\ \Omega$
2. B.
   By increasing $Q$ by $20\ \Omega$
3. C.
   By increasing $R$ by $30\ \Omega$
4. D.
   Both (a) and (b)

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

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

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1. A.
   $\sqrt{\frac{K(\rho_1-\rho_2)}{Vg}}$
2. B.
   $\sqrt{\frac{Vg(\rho_1-\rho_2)}{K}}$
3. C.
   $\sqrt{\frac{Vg(\rho_1-\rho_2)}{K}}$
4. D.
   $\sqrt{\frac{Vg(\rho_1-\rho_2)}{2K}}$

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

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1. A.
   a X-OR gate
2. B.
   an AND gate
3. C.
   a NOR gate
4. D.
   a NAND gate

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1. A.
   6000 Å
2. B.
   3500 Å
3. C.
   4200 Å
4. D.
   4700 Å

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1. A.
   70 V
2. B.
   60 V
3. C.
   40 V
4. D.
   80 V

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1. A.
   20 N
2. B.
   $20\sqrt{23}\ \text{N}$
3. C.
   $20\sqrt{26}\ \text{N}$
4. D.
   10 N

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1. A.
   0.15 N-m
2. B.
   0.32 N-m
3. C.
   0.25 N-m
4. D.
   0.20 N-m

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1. A.
   $\frac{\mu_0 N R}{2r}$
2. B.
   $\frac{\mu_0 N^2 R^2}{2r}$
3. C.
   $\frac{\mu_0 N r}{2R}$
4. D.
   $\frac{\mu_0 N^2 r^2}{2R}$

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1. A.
   2.2 A, 220 V
2. B.
   2 A, 200 V
3. C.
   2.5 A, 200 V
4. D.
   2 A, 220 V

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1. A.
   $10^{-1}$
2. B.
   $10^2$
3. C.
   $10^{-2}$
4. D.
   $10^4$

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

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1. A.
   450
2. B.
   400
3. C.
   300
4. D.
   500

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

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1. A.
   $\frac{5}{2}\ \text{V}/\mu\text{m}$ and in the $-ve$ x-direction
2. B.
   $\frac{5}{2}\ \text{V}/\mu\text{m}$ and in the $+ve$ x-direction
3. C.
   $\frac{10}{9}\ \text{V}/\mu\text{m}$ and in the $-ve$ x-direction
4. D.
   $\frac{10}{9}\ \text{V}/\mu\text{m}$ and in the $+ve$ x-direction

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1. A.
   $\frac{5}{12}L$
2. B.
   $\frac{11}{12}L$
3. C.
   $\frac{13}{24}L$
4. D.
   $\frac{11}{24}L$

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1. A.
   $40\ \mu\text{A}$
2. B.
   $26.66\ \mu\text{A}$
3. C.
   $16.66\ \mu\text{A}$
4. D.
   $10\ \mu\text{A}$

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

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1. A.
   $4.7\times10^{11}\ \text{m}$
2. B.
   $3.23\times10^{12}\ \text{m}$
3. C.
   $5.3\times10^{12}\ \text{m}$
4. D.
   $7.63\times10^{11}\ \text{m}$

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1. A.
   $53.3^\circ\text{C}$
2. B.
   $56.6^\circ\text{C}$
3. C.
   $60.6^\circ\text{C}$
4. D.
   $62.3^\circ\text{C}$

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1. A.
   72 s
2. B.
   66 s
3. C.
   60 s
4. D.
   84 s

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1. A.
   400 m/s
2. B.
   401 m/s
3. C.
   402 m/s
4. D.
   403 m/s

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1. A.
   the magnification will be halved
2. B.
   the intensity of the image will be reduced
3. C.
   the distance of the image will increase
4. D.
   All of the above

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1. A.
   $\frac{2h}{\mu}$
2. B.
   $\frac{h}{\sqrt{\mu^2-1}}$
3. C.
   $\frac{h}{\sqrt{2\mu-1}}$
4. D.
   $\frac{\mu}{2h}$

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1. A.
   $27^\circ$
2. B.
   $32^\circ$
3. C.
   $37^\circ$
4. D.
   $42^\circ$

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

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1. A.
   12.3 MA
2. B.
   12.3 mA
3. C.
   11.3 mA
4. D.
   14.3 mA

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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.
   10.2 eV
2. B.
   -10.2 eV
3. C.
   -13.6 eV
4. D.
   Both (a) and (b)

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

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

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1. A.
   1000:1
2. B.
   1:10
3. C.
   10:1
4. D.
   1:1000

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1. A.
   Nd
2. B.
   Tm
3. C.
   Lu
4. D.
   Tb

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1. A.
   3.17 g
2. B.
   2.54 g
3. C.
   0.795 g
4. D.
   1.59 g

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1. A.
   o-nitrophenol
2. B.
   m-nitrophenol
3. C.
   p-nitrophenol
4. D.
   None of these

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1. A.
   glucose contains five hydroxyl groups.
2. B.
   the presence of aldehyde group in glucose.
3. C.
   glucose contains one primary alcoholic group.
4. D.
   the six carbon atoms of glucose are in a straight chain.

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1. A.
   $3\ \text{g cm}^{-3}$
2. B.
   $2\ \text{g cm}^{-3}$
3. C.
   $5\ \text{g cm}^{-3}$
4. D.
   $4\ \text{g cm}^{-3}$

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1. A.
   $M_2 = \frac{1000 \times K_f \times W_1}{\Delta T_f \times W_2}$
2. B.
   $M_2 = \frac{1000 \times K_f \times W_2}{\Delta T_f \times W_1}$
3. C.
   $M_2 = \frac{1000 \times \Delta T_f \times W_2}{K_f \times W_1}$
4. D.
   $M_2 = \frac{1000 \times \Delta T_f \times W_1}{K_f \times W_2}$

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1. A.
   $20\ \text{dm}^3$
2. B.
   $13.66\ \text{dm}^3$
3. C.
   $10\ \text{dm}^3$
4. D.
   $7.32\ \text{dm}^3$

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1. A.
   4
2. B.
   2
3. C.
   1
4. D.
   0.25

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1. A.
   1-methylcyclopentan-3-ol
2. B.
   3-hydroxy-1-methyl cyclopentane
3. C.
   3-methyl cyclopentanol
4. D.
   3-methylpentan-1-ol

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1. A.
   $\text{C}_2\text{H}_4\text{N}_2$
2. B.
   $\text{C}_{12}\text{H}_{24}\text{N}_{12}$
3. C.
   $\text{C}_{16}\text{H}_{32}\text{N}_{16}$
4. D.
   $\text{C}_4\text{H}_8\text{N}_4$

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1. A.
   40.4 g
2. B.
   42.9 g
3. C.
   52.7 g
4. D.
   50.0 g

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1. A.
   -84.5 kJ/mol
2. B.
   -63.45 kJ/mol
3. C.
   -21.25 kJ/mol
4. D.
   -42.5 kJ/mol

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1. A.
   bond enthalpy of reaction
2. B.
   standard enthalpy of formation
3. C.
   standard enthalpy of reaction
4. D.
   standard enthalpy of combustion

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1. A.
   $\Omega^{-1}$
2. B.
   $\Omega^{-1}\ \text{cm}^2\ \text{mol}^{-1}$
3. C.
   $\text{S m}^2\ \text{mol}^{-1}$
4. D.
   $\text{S m}^{-1}$

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1. A.
   $1.6021\ \text{min}^{-1}$
2. B.
   $0.2303\ \text{min}^{-1}$
3. C.
   $0.4031\ \text{min}^{-1}$
4. D.
   $0.06020\ \text{min}^{-1}$

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1. A.
   Overall order of reaction is 2.
2. B.
   The reaction is first order in H$_2$.
3. C.
   The reaction is first order in I$_2$.
4. D.
   Overall order of reaction is 1.

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1. A.
   $9.15\ \text{g/cm}^3$
2. B.
   $10.33\ \text{g/cm}^3$
3. C.
   $6.22\ \text{g/cm}^3$
4. D.
   $9.74\ \text{g/cm}^3$

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1. A.
   methanol
2. B.
   glucose
3. C.
   carbon dioxide
4. D.
   cannot predict

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1. A.
   sorption
2. B.
   desorption
3. C.
   unbalanced distribution
4. D.
   dissociation

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1. A.
   Macromolecular colloid
2. B.
   Associated colloid
3. C.
   Molecular colloid
4. D.
   Electrolytic solution

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1. A.
   $dsp^2$
2. B.
   $sp^3d^2$
3. C.
   $d^2sp^3$
4. D.
   $sp^3$

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1. A.
   tetraamminediaquacobalt (III) chloride
2. B.
   cobalt (III) tetraamminediaquachloride
3. C.
   diaquatetraammine cobalt (III) chloride
4. D.
   tetraammine diaquacobalt (II) chloride

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1. A.
   Sc
2. B.
   Ti
3. C.
   Mn
4. D.
   Zn

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1. A.
   $\text{CH}_4$
2. B.
   $\text{XeF}_4$
3. C.
   $\text{H}_2\text{O}$
4. D.
   $\text{NH}_3$

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1. A.
   $\text{BF}_3$
2. B.
   $\text{CH}_4$
3. C.
   $\text{CHCl}_3$
4. D.
   $\text{CCl}_4$

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1. A.
   1,2-dichlorobenzene
2. B.
   1,3,5-trichlorobenzene
3. C.
   1,4-dichlorobenzene
4. D.
   1,3-dichlorobenzene

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1. A.
   $\text{ClF}_3$
2. B.
   $\text{ClF}$
3. C.
   $\text{IF}_7$
4. D.
   $\text{IF}_3$

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1. A.
   isotopes
2. B.
   isobars
3. C.
   isoelectronic species
4. D.
   isotones

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1. A.
   Lyman series
2. B.
   Balmer series
3. C.
   Paschen series
4. D.
   Brackett series

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1. A.
   O > S > Se > Te > Po
2. B.
   O > Se > Te > S > Po
3. C.
   Po > Te > Se > S > O
4. D.
   S > O > Se > Te > Po

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1. A.
   $\text{C}_6\text{H}_5\text{OH}$
2. B.
   $\text{C}_6\text{H}_5\text{COOH}$
3. C.
   $\text{C}_6\text{H}_5\text{CH}_2\text{COOH}$
4. D.
   $\text{C}_6\text{H}_5\text{CH}_2\text{CH}_2\text{COOH}$

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1. A.
   -COOH
2. B.
   -OR
3. C.
   -Cl
4. D.
   -OH

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1. A.
   Decreasing order of pKb values: $(C_2H_5)_2NH > C_2H_5NH_2 > C_6H_5NH_2 > C_6H_5NHCH_3$
2. B.
   Decreasing order of basic strength: $(C_2H_5)_2NH > CH_3NH_2 > C_6H_5NHCH_3$
3. C.
   Increasing order of basic strength: p-nitroaniline < aniline < p-toluidine
4. D.
   Increasing order of solubility in water: $C_6H_5NH_2 < (C_2H_5)_2NH < C_2H_5NH_2$

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1. A.
   Nitrobenzene
2. B.
   Aniline
3. C.
   Chlorobenzene
4. D.
   Phenol

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

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1. A.
   Phenol
2. B.
   p-cresol
3. C.
   p-nitrophenol
4. D.
   o-nitrophenol

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1. A.
   Hex-2-ene
2. B.
   Hex-1-ene
3. C.
   Cyclohexene
4. D.
   Hex-3-ene

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1. A.
   HCl
2. B.
   H$_2$O
3. C.
   CH$_3$COOH
4. D.
   NaOH

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1. A.
   Wolf-Kishner reduction
2. B.
   Clemmensen reduction
3. C.
   Stephen reduction
4. D.
   Etard reaction

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1. A.
   Recycled carpet
2. B.
   A product made on Earth's day
3. C.
   A sublimation reaction
4. D.
   Bio-plastics or bio-diesel

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1. A.
   sec-butyl bromide
2. B.
   n-propyl bromide
3. C.
   n-butyl bromide
4. D.
   tert-butyl bromide

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1. A.
   Ethanol
2. B.
   Ethane
3. C.
   Ethyne
4. D.
   Ethanal

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1. A.
   PVC
2. B.
   LDPE
3. C.
   HDPE
4. D.
   PETE

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1. A.
   Polythene
2. B.
   Bakelite
3. C.
   Polystyrene
4. D.
   Poly vinyls

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1. A.
   CO$_2$
2. B.
   SO$_2$
3. C.
   Both (a) and (b)
4. D.
   None of these

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1. A.
   $2.4\times10^{-7}\ \text{mol dm}^{-3}$
2. B.
   $7.0\times10^{-7}\ \text{mol dm}^{-3}$
3. C.
   $4.9\times10^{-7}\ \text{mol dm}^{-3}$
4. D.
   $3.2\times10^{-7}\ \text{mol dm}^{-3}$

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1. A.
   glucose oxime and saccharic acid
2. B.
   gluconic acid and saccharic acid
3. C.
   saccharic acid and sorbitol
4. D.
   gluconic acid and sorbitol

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