MHT-CET 2023 (16 May Shift 1), Paper II, Physics & Chemistry question paper

1. A.
   both paramagnetic and ferromagnetic
2. B.
   paramagnetic
3. C.
   diamagnetic
4. D.
   ferromagnetic

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

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1. A.
   $\frac{Q'_A}{Q_A} = \frac{K}{2}$
2. B.
   $\frac{Q'_B}{Q_B} = \frac{K+1}{2}$
3. C.
   $\frac{Q'_A}{Q_A} = \frac{K+1}{K}$
4. D.
   $\frac{Q'_B}{Q_B} = \frac{K+1}{2K}$

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1. A.
   $M_O C^2$
2. B.
   $(M_O - 8M_p)C^2$
3. C.
   $(M_O - 17M_N)C^2$
4. D.
   $(M_0 - 8M_P - 9M_N)C^2$

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

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1. A.
   will become zero
2. B.
   will remain same
3. C.
   will decrease
4. D.
   will increase

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1. A.
   P
2. B.
   Q
3. C.
   R
4. D.
   S

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1. A.
   number of turns per unit length
2. B.
   current passing through it
3. C.
   radius of the toroidal solenoid
4. D.
   permeability

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1. A.
   3.84 cm
2. B.
   2.84 cm
3. C.
   1.84 cm
4. D.
   4.84 cm

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

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1. A.
   $3:5$
2. B.
   $\sqrt{3}:\sqrt{5}$
3. C.
   $\sqrt{3}:\sqrt{7}$
4. D.
   $\sqrt{5}:\sqrt{7}$

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

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1. A.
   $\frac{1}{2\pi}\sqrt{\frac{V_1^2 - V_2^2}{x_1^2 - x_2^2}}$
2. B.
   $2\pi\sqrt{\frac{x_1^2 - x_2^2}{V_1^2 - V_2^2}}$
3. C.
   $\frac{1}{2\pi}\sqrt{\frac{V_2^2 - V_1^2}{x_1^2 - x_2^2}}$
4. D.
   $2\pi\sqrt{\frac{x_1^2 - x_2^2}{V_2^2 - V_1^2}}$

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1. A.
   $\cos^{-1}\!\left(\frac{\mu}{2}\right)$
2. B.
   $2\cos^{-1}\!\left(\frac{\mu}{2}\right)$
3. C.
   $\sin^{-1}\!\left(\frac{\mu}{2}\right)$
4. D.
   $2\sin^{-1}\!\left(\frac{\mu}{2}\right)$

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1. A.
   $252\cos\!\left(12t + \frac{4\pi}{3}\right)$
2. B.
   $252\cos\!\left(12t + \frac{\pi}{3}\right)$
3. C.
   $63\cos\!\left(12t + \frac{2\pi}{3}\right)$
4. D.
   $2\cos\!\left(12t + \frac{5\pi}{3}\right)$

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1. A.
   $f_a = f_b > f_c > f_d$ and $I_a = I_b > I_c > I_d$
2. B.
   $f_a < f_b > f_c = f_d$ and $I_a = I_b > I_c > I_d$
3. C.
   $f_a = f_b = f_c = f_d$ and $I_a < I_b < I_c < I_d$
4. D.
   $f_a > f_b > f_c > f_d$ and $I_a = I_b = I_c = I_d$

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1. A.
   $400\,\Omega$
2. B.
   $800\,\Omega$
3. C.
   $200\,\Omega$
4. D.
   $100\,\Omega$

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1. A.
   $6400\,\text{\AA}$
2. B.
   $5600\,\text{\AA}$
3. C.
   $4800\,\text{\AA}$
4. D.
   $4400\,\text{\AA}$

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

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1. A.
   2:3:5
2. B.
   2:5:7
3. C.
   7:5:9
4. D.
   1:2:5

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1. A.
   2
2. B.
   4
3. C.
   1000
4. D.
   10000

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

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1. A.
   2
2. B.
   8
3. C.
   16
4. D.
   32

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1. A.
   $\frac{\mu_0 I}{2R}$
2. B.
   $\frac{3\mu_0 I}{2R}$
3. C.
   $\frac{5\mu_0 I}{2R}$
4. D.
   $\frac{7\mu_0 I}{2R}$

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1. A.
   $\sin^{-1}\!\left(\frac{\lambda}{D}\right)$
2. B.
   $\sin^{-1}\!\left(\frac{\lambda}{2d}\right)$
3. C.
   $\sin^{-1}\!\left(\frac{\lambda}{3d}\right)$
4. D.
   $\sin^{-1}\!\left(\frac{\lambda}{4d}\right)$

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1. A.
   0.3
2. B.
   0.4
3. C.
   0.75
4. D.
   1.0

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

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1. A.
   $t\sqrt{\alpha^2 + \beta^2}$
2. B.
   $3t\sqrt{\alpha^2 + \beta^2}$
3. C.
   $t^2\sqrt{\alpha^2 + \beta^2}$
4. D.
   $3t^2\sqrt{\alpha^2 + \beta^2}$

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1. A.
   $t_1 < t_2 < t_3$
2. B.
   $t_1 > t_2 > t_3$
3. C.
   $t_1 = t_2 = t_3$
4. D.
   $t_1 < t_2 = t_3$

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1. A.
   $V_1 = V_2 = V_3$
2. B.
   $V_1 < V_2 < V_3$
3. C.
   $V_1 > V_2 > V_3$
4. D.
   $V_1 = V_3 > V_2$

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1. A.
   2.5 W
2. B.
   4.0 W
3. C.
   10 W
4. D.
   100 W

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1. A.
   $P(I\alpha)^{-1}$
2. B.
   $P^{-1}(I\alpha)^{-1}$
3. C.
   $P\alpha^{-1}I$
4. D.
   $PI\alpha$

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1. A.
   less than the external electric field
2. B.
   larger than the external electric field
3. C.
   equal to the external electric field
4. D.
   equal to or greater than external electric field

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

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

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

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1. A.
   $-13\,\text{V}$
2. B.
   $13\,\text{V}$
3. C.
   $-23\,\text{V}$
4. D.
   $23\,\text{V}$

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

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1. A.
   is increased
2. B.
   is decreased
3. C.
   remains the same
4. D.
   becomes zero

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1. A.
   $\frac{3C_1 n_1}{n_2}$
2. B.
   $\frac{9n_2}{n_1}C_1$
3. C.
   $\frac{3n_2}{n_1}C_1$
4. D.
   $\frac{9C_1 n_1}{n_2}$

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1. A.
   $\sqrt{\frac{2g}{5R}}$
2. B.
   $\sqrt{\frac{3g}{5R}}$
3. C.
   $\sqrt{\frac{5R}{3g}}$
4. D.
   $\sqrt{\frac{3}{5}gR}$

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

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1. A.
   1.3 A
2. B.
   1.4 A
3. C.
   1.5 A
4. D.
   1.6 A

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1. A.
   n-type side has lower potential than p-type side
2. B.
   n-type side has same potential as p-type side
3. C.
   An electric field is established at the junction such that n side is at positive voltage relative to p-side
4. D.
   The potential across the junction is such that p-side is at positive voltage relative to n-side

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1. A.
   $\cos^{-1}\!\left(\frac{1}{2}\right)$
2. B.
   $\cos^{-1}\!\left(\frac{1}{3}\right)$
3. C.
   $\cos^{-1}\!\left(\frac{1}{4}\right)$
4. D.
   $\cos^{-1}\!\left(\frac{1}{6}\right)$

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1. A.
   $\frac{T}{6}$
2. B.
   $\frac{T}{3}$
3. C.
   $\frac{T}{2}$
4. D.
   $\frac{T}{12}$

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1. A.
   at the mid-point of line joining the two particles
2. B.
   on the line joining the two particles
3. C.
   at one end of the line joining the two particles
4. D.
   on the line perpendicular to the line joining the two particles

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

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1. A.
   1.6 cm
2. B.
   2.4 cm
3. C.
   3.2 cm
4. D.
   4.8 cm

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

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1. A.
   $119.5°$
2. B.
   $180°$
3. C.
   $109°$
4. D.
   $107.5°$

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1. A.
   $1.0 \times 10^{21}$
2. B.
   $2.0 \times 10^{21}$
3. C.
   $3.0 \times 10^{21}$
4. D.
   $4.0 \times 10^{21}$

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1. A.
   Nylon 6,6
2. B.
   Dacron
3. C.
   Polyacrylamide
4. D.
   Buna-N

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1. A.
   32
2. B.
   28
3. C.
   30
4. D.
   36

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1. A.
   $\text{C}_{11}\text{H}_{24}$
2. B.
   $\text{C}_9\text{H}_{18}$
3. C.
   $\text{C}_{12}\text{H}_{26}$
4. D.
   $\text{C}_{20}\text{H}_{42}$

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1. A.
   W
2. B.
   Yb
3. C.
   Eu
4. D.
   Cd

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

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1. A.
   1.699
2. B.
   2.00
3. C.
   0.699
4. D.
   3.398

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1. A.
   The osmosis is a colligative property
2. B.
   The vapour pressure of solution containing nonvolatile solute is lower than that of pure solvent at any given temperature
3. C.
   The osmotic pressure of 0.1 M NaCl solution is lower than 0.1 M sucrose solution
4. D.
   The boiling point of solution containing nonvolatile solute is lower than that of pure solvent

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1. A.
   Every collision between reactants leads to chemical reaction
2. B.
   It may be expected that rate of reaction is equal to rate of collision
3. C.
   For gas phase reactions, the number of collisions is far less compared to observed rate
4. D.
   The colliding molecules do not need proper orientation

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1. A.
   1-Bromo-1,2-dimethylbut-2-ene
2. B.
   4-Bromo-3-methylpent-2-ene
3. C.
   4-Bromo-3, 4-dimethylbut-2-ene
4. D.
   2-Bromo-3-methylpent-3-ene

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1. A.
   $2.5 \times 10^6\,\text{m}^{-1}$
2. B.
   $4.0 \times 10^6\,\text{m}^{-1}$
3. C.
   $6.5 \times 10^6\,\text{m}^{-1}$
4. D.
   $8.0 \times 10^6\,\text{m}^{-1}$

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1. A.
   Butanal
2. B.
   Butanone
3. C.
   Butan-1-ol
4. D.
   Butan-2-ol

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1. A.
   3$°$ aliphatic simple amine
2. B.
   3$°$ aromatic mixed amine
3. C.
   3$°$ aromatic simple amine
4. D.
   3$°$ aliphatic mixed amine

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1. A.
   $100\,\Omega^{-1}\text{cm}^{-1}$
2. B.
   $0.02\,\Omega^{-1}\text{cm}^{-1}$
3. C.
   $0.09\,\Omega^{-1}\text{cm}^{-1}$
4. D.
   $0.01\,\Omega^{-1}\text{cm}^{-1}$

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1. A.
   3-formyl-5-methylphenol
2. B.
   5-formyl-3-methylphenol
3. C.
   3-hydroxy-5-methylbenzaldehyde
4. D.
   5-hydroxy-3-methylbenzaldehyde

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1. A.
   250 K
2. B.
   400 K
3. C.
   450 K
4. D.
   600 K

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1. A.
   Teflon
2. B.
   LDP
3. C.
   Dacron
4. D.
   Polyacrylonitrile

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1. A.
   Triamminetrinitrocobalt (III)
2. B.
   Pentacarbonyliron (0)
3. C.
   Tetraaminecopper (II) ion
4. D.
   Trioxalatocobaltate (III) ion

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

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1. A.
   Nanowires
2. B.
   Nanoparticles
3. C.
   Thin films
4. D.
   Quantum dots

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1. A.
   Ln(OH)
2. B.
   Ln(OH)$_2$
3. C.
   Ln(OH)$_3$
4. D.
   Ln(OH)$_4$

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1. A.
   $3.25 \times 10^{-23}$
2. B.
   $2.16 \times 10^{-23}$
3. C.
   $1.34 \times 10^{-23}$
4. D.
   $4.20 \times 10^{-23}$

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1. A.
   19.52 kJ
2. B.
   1.95 kJ
3. C.
   39.04 kJ
4. D.
   3.904 kJ

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1. A.
   $14\,\text{mol}^{-2}\text{dm}^6\text{s}^{-1}$
2. B.
   $12\,\text{mol}^{-2}\text{dm}^6\text{s}^{-1}$
3. C.
   $18\,\text{mol}^{-2}\text{dm}^6\text{s}^{-1}$
4. D.
   $20\,\text{mol}^{-2}\text{dm}^6\text{s}^{-1}$

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1. A.
   Alkanols
2. B.
   Glycols
3. C.
   Glycerols
4. D.
   Alkanoic acids

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1. A.
   Phenol
2. B.
   p-Nitrophenol
3. C.
   p-Cresol
4. D.
   o-Nitrophenol

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1. A.
   $-5$
2. B.
   $+3$
3. C.
   $+5$
4. D.
   $+6$

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1. A.
   0.004 M
2. B.
   0.002 M
3. C.
   0.005 M
4. D.
   0.001 M

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1. A.
   Adipic acid
2. B.
   Glutaric acid
3. C.
   Valeric acid
4. D.
   Malonic acid

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1. A.
   1-Methoxy-3,3-dimethylcyclobutane
2. B.
   3-Methoxy-1,1-dimethylcyclobutane
3. C.
   3,3-dimethylcyclobutoxymethane
4. D.
   1-Methoxy-3-isopropylbutane

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1. A.
   $-0.765\,\text{V}$
2. B.
   $0.765\,\text{V}$
3. C.
   $-1.247\,\text{V}$
4. D.
   $1.247\,\text{V}$

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1. A.
   Pentanenitrile
2. B.
   Pent-3-enenitrile
3. C.
   Pent-3-en-1-amine
4. D.
   Pent-3-ynenitrile

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1. A.
   1.5
2. B.
   0.3
3. C.
   3.0
4. D.
   2.3

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1. A.
   Methyl cyanide
2. B.
   Ethyl amine
3. C.
   Methyl amine
4. D.
   Ethyl cyanide

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1. A.
   Rubidium
2. B.
   Strontium
3. C.
   Caesium
4. D.
   Barium

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1. A.
   Chloromethane
2. B.
   Fluoromethane
3. C.
   Bromomethane
4. D.
   Iodomethane

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1. A.
   $\text{K}^+$
2. B.
   $\text{Ca}$
3. C.
   Mg
4. D.
   Cl

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1. A.
   $0.2\,\text{mol}^{-1}\text{dm}^3\text{min}^{-1}$
2. B.
   $0.5\,\text{mol dm}^{-3}\text{min}^{-1}$
3. C.
   $1.4\,\text{mol dm}^{-3}\text{min}^{-1}$
4. D.
   $6.0\,\text{mol dm}^{-3}\text{min}^{-1}$