MHT-CET 2023 (9 May Shift 2), Paper II, Physics & Chemistry question paper

1. A.
   60 cm
2. B.
   75 cm
3. C.
   90 cm
4. D.
   30 cm

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

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1. A.
   $\frac{\pi}{2} > \theta_1 > \theta_2 > \theta_3 > 0$
2. B.
   $0 \leq \theta_1 < \theta_2 < \theta_3 < \frac{\pi}{2}$
3. C.
   $\frac{\pi}{2} < \theta_1 < \theta_2 < \theta_3 < \pi$
4. D.
   $\pi > \theta_1 > \theta_2 > \frac{\pi}{2}$

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1. A.
   Figure (a) and (b) show object at rest and object moving with uniform velocity in positive x direction respectively.
2. B.
   Figure (b) and (c) show object at rest and object moving with uniform velocity in negative x direction respectively.
3. C.
   Figure (c) and (d) show object at rest and object moving with uniform velocity in negative x direction respectively.
4. D.
   Figure (a) and (b) show object at rest.

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1. A.
   $F = \frac{L}{mr^2}$
2. B.
   $L = m^2Fr^2$
3. C.
   $\frac{L^2}{m} = Fr^3$
4. D.
   $FL^3 = mr^2$

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

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1. A.
   A, B
2. B.
   B, C
3. C.
   B, D
4. D.
   E, B

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

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1. A.
   0.2 s
2. B.
   0.4 s
3. C.
   0.6 s
4. D.
   0.8 s

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

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1. A.
   Figure (A) and (B) show isobaric curve and isothermal curve respectively.
2. B.
   Figure (A) and (C) show isothermal curve and isochoric curve respectively.
3. C.
   Figure (B) and (C) show isobaric curve and isochoric curve respectively.
4. D.
   Figure (A) and (C) show isothermal curve and isobaric curve respectively.

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

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1. A.
   5 cm, -10 cm
2. B.
   10 cm, -15 cm
3. C.
   10 cm, -20 cm
4. D.
   20 cm, -30 cm

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1. A.
   $f_a > f_b > f_c > f_d$
2. B.
   $f_a < f_b < f_c < f_d$
3. C.
   $f_a > f_b < f_c = f_d$
4. D.
   $f_a = f_b > f_c > f_d$

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

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1. A.
   some energy will be absorbed
2. B.
   energy absorbed is $E\left(n - n^{2/3}\right)$
3. C.
   energy released will be $E\left(n - n^{2/3}\right)$
4. D.
   energy released will be $E\left(2^{2/3} - 1\right)$

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1. A.
   the phenomenon of Corona Discharge in X-ray tube.
2. B.
   the application of electric field and magnetic field which are perpendicular to each other.
3. C.
   the property that charge given to a hollow conductor is transferred to its outer surface and distributed uniformly over it.
4. D.
   the fact that a charge is continuously supplied to an isolated metallic conductor, the potential of the conductor goes on increasing.

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1. A.
   34 mH
2. B.
   16 mH
3. C.
   15 mH
4. D.
   6 mH

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

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1. A.
   At time t=0, the energy stored circuit is purely in the form of magnetic energy.
2. B.
   At t>0, there is no exchange of energy between L and C.
3. C.
   At any time t>0, the current in the circuit is in the same direction.
4. D.
   At any time t>0, the instantaneous current in the circuit may be $V\sqrt{\frac{C}{L}}$

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1. A.
   concentration of majority carriers.
2. B.
   concentration of minority carriers.
3. C.
   applied voltage.
4. D.
   recombination of holes and electrons.

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

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1. A.
   $\frac{RI_w}{\pi I_c}$
2. B.
   $\frac{RI_c}{\pi I_w}$
3. C.
   $\frac{\pi I_c}{RI_w}$
4. D.
   $\frac{\pi I_w}{R_c}$

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1. A.
   $\frac{B^2L^2V}{R}$
2. B.
   $\frac{B^2L^2V^2}{R}$
3. C.
   $\frac{B^2LV^2}{R}$
4. D.
   $\frac{BLV^2}{R}$

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1. A.
   1.5 X
2. B.
   2 X
3. C.
   5.5 X
4. D.
   9.5 X

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

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1. A.
   p : n
2. B.
   n : p
3. C.
   p$^2$ : n$^2$
4. D.
   n$^2$ : p$^2$

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1. A.
   $6\pi TR^2$
2. B.
   $12\pi TR^2$
3. C.
   $8\pi TR^2$
4. D.
   $24\pi TR^2$

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

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

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1. A.
   10 V
2. B.
   14 V
3. C.
   18 V
4. D.
   20 V

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

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1. A.
   $\frac{E_0^2}{12R}$
2. B.
   $\frac{E_0^2}{10R}$
3. C.
   $\frac{E_0^2}{8R}$
4. D.
   $\frac{E_0^2}{6R}$

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1. A.
   25.1 mA
2. B.
   22.5 mA
3. C.
   21.5 mA
4. D.
   21.25 mA

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1. A.
   64 P
2. B.
   256 P
3. C.
   4 P
4. D.
   16 P

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

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1. A.
   is zero.
2. B.
   remains constant.
3. C.
   increases.
4. D.
   decreases.

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1. A.
   $\frac{B}{H} = \mu_0(1-\chi)$
2. B.
   $\frac{B}{H} = \mu_0(1+\chi)^2$
3. C.
   $\frac{B}{H} = \mu_0(1+\chi)$
4. D.
   $\frac{B}{H} = \mu_0(1-\chi)^2$

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1. A.
   OR, A+B
2. B.
   AND, A·B
3. C.
   NOR, A+B
4. D.
   NAND, $\overline{A+B}$

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1. A.
   6 min
2. B.
   4 min
3. C.
   3 min
4. D.
   2 min

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1. A.
   $3\mu$ F
2. B.
   $6\mu$ F
3. C.
   $8\mu$ F
4. D.
   $12\mu$ F

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

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

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1. A.
   have high resolution.
2. B.
   have low dispersion.
3. C.
   increase the span of observation.
4. D.
   have large wavelength.

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1. A.
   $\frac{n}{n-x} = \frac{d}{d-1}$
2. B.
   $\frac{n}{n-x} = \sqrt{\frac{d}{d-1}}$
3. C.
   $\frac{n-x}{n} = \frac{d-1}{d}$
4. D.
   $\frac{n-x}{n} = \sqrt{\frac{d}{d-1}}$

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

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

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1. A.
   0.20 H
2. B.
   2.0 H
3. C.
   20 H
4. D.
   200 H

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1. A.
   $(2)^{1/3} V$
2. B.
   $(2)^{3/2} V$
3. C.
   $(2)^{2/3} V$
4. D.
   $(2)^{1/4} V$

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1. A.
   $\cos^{-1}\left(-\frac{1}{2}\right)$
2. B.
   $\cos^{-1}\left(-\frac{1}{4}\right)$
3. C.
   $\cos^{-1}\left(-\frac{1}{6}\right)$
4. D.
   $\cos^{-1}\left(-\frac{1}{8}\right)$

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1. A.
   198 g mol$^{-1}$
2. B.
   210 g mol$^{-1}$
3. C.
   118 g mol$^{-1}$
4. D.
   225 g mol$^{-1}$

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1. A.
   Methanol and Ethanol
2. B.
   Methanal and Ethanol
3. C.
   Methanal and Ethanal
4. D.
   Methanol and Ethanal

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1. A.
   sp$^3$d$^3$ and tetrahedral
2. B.
   sp$^3$d Trigonal bipyramidal
3. C.
   sp$^3$d$^2$ and trigonal bipyramidal
4. D.
   sp$^3$d$^2$ and octahedral

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1. A.
   Hydrogen cyanide and sodium cyanide
2. B.
   Copper hydroxide and copper chloride
3. C.
   Carbonic acid and salt of carbonic acid
4. D.
   Ammonium hydroxide and ammonium chloride

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1. A.
   C-1 of α-glucose and C-2 of β-fructose
2. B.
   C-1 of β-glucose and C-2 of β-fructose
3. C.
   C-2 of α-glucose and C-2 of β-fructose
4. D.
   C-3 of α-glucose and C-1 of β-fructose

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1. A.
   0.165 cm$^{-1}$
2. B.
   1.601 cm$^{-1}$
3. C.
   218.5 cm$^{-1}$
4. D.
   0.218 cm$^{-1}$

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1. A.
   N$_2$
2. B.
   Cl$_2$
3. C.
   H$_2$S
4. D.
   NH$_3$

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1. A.
   0.12 mol kg$^{-1}$
2. B.
   0.16 mol kg$^{-1}$
3. C.
   0.21 mol kg$^{-1}$
4. D.
   0.28 mol kg$^{-1}$

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

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1. A.
   Enantiomers have identical refractive index.
2. B.
   Enantiomers have same chemical properties.
3. C.
   Enantiomers are superimposable mirror images of each other.
4. D.
   Enantiomers have equal but opposite optical rotation.

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1. A.
   LDPE
2. B.
   PP
3. C.
   PS
4. D.
   PET

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1. A.
   $\mathrm{CH_4}$
2. B.
   $\mathrm{C_2H_2}$
3. C.
   $\mathrm{NH_3}$
4. D.
   $\mathrm{BF_3}$

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1. A.
   Buna-S
2. B.
   Nylon 6,6
3. C.
   Terylene
4. D.
   Polythene

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1. A.
   Carboxylic Acids
2. B.
   Alcohols
3. C.
   Hydrazones
4. D.
   Alkenes

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1. A.
   Rate of reaction increases 8 times.
2. B.
   Rate of reaction increases 24 times.
3. C.
   Rate of reaction increases 36 times.
4. D.
   Rate of reaction remains unaffected.

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1. A.
   $2.2 \times 10^{-3}$
2. B.
   $4.4 \times 10^{-3}$
3. C.
   $6.6 \times 10^{-3}$
4. D.
   $8.8 \times 10^{-3}$

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1. A.
   $442\ \mathrm{g\ mol^{-1}}$
2. B.
   $372\ \mathrm{g\ mol^{-1}}$
3. C.
   $390\ \mathrm{g\ mol^{-1}}$
4. D.
   $410\ \mathrm{g\ mol^{-1}}$

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1. A.
   Only 1-chloro-4-nitrobenzene
2. B.
   Only 1-chloro-2-nitrobenzene
3. C.
   Mixture of 1-chloro-4-nitrobenzene and 1-chloro-2-nitrobenzene
4. D.
   2,4,6-trinitrochlorobenzene

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1. A.
   $-\mathrm{COOH} > -\mathrm{SO_3H} > -\mathrm{COOR}$
2. B.
   $-\mathrm{COOR} > -\mathrm{COOH} > -\mathrm{SO_3H}$
3. C.
   $-\mathrm{SO_3H} > -\mathrm{COOR} > -\mathrm{COOH}$
4. D.
   $-\mathrm{COOR} > -\mathrm{SO_3H} > -\mathrm{COOH}$

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1. A.
   Paste of ${MnO}_{2}$
2. B.
   Paste of ${NH}_{4}Cl$
3. C.
   Starch
4. D.
   Paste of ${ZnCl}_{2}$

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1. A.
   Polyacrylamide
2. B.
   Buna-N
3. C.
   Polycarbonate
4. D.
   Perspex

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1. A.
   Propane
2. B.
   Ethene
3. C.
   Methane
4. D.
   Butane

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1. A.
   $\text{MnO}_4^- \rightarrow \text{Mn}^{2+}$
2. B.
   $\text{CrO}_4^{2-} \rightarrow \text{Cr}^{3+}$
3. C.
   $\text{NO}_3^- \rightarrow \text{NH}_4^+$
4. D.
   $\text{Cr}_2\text{O}_7^{2-} \rightarrow 2\text{Cr}^{3+}$

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1. A.
   0
2. B.
   1
3. C.
   1.5
4. D.
   2

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

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1. A.
   n-Butyl alcohol
2. B.
   Isobutyl alcohol
3. C.
   Sec-Butyl alcohol
4. D.
   tert-Butyl alcohol

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

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1. A.
   $\text{Fe(CN)}_6^{4-}$
2. B.
   $\text{Cl}^-$
3. C.
   $\text{SO}_4^{2-}$
4. D.
   $\text{PO}_4^{3-}$

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

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1. A.
   $\text{CH}_3\text{CH}_2\text{NH}_2$
2. B.
   $\text{CH}_3\text{CH}_2\text{CH}_2\text{NHCH}_3$
3. C.
   $(\text{CH}_3\text{CH}_2)_3\text{N}$
4. D.
   $(\text{CH}_3)_3\text{CNH}_2$

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1. A.
   0.011 mol dm$^{-3}$ s$^{-1}$
2. B.
   0.022 mol dm$^{-3}$ s$^{-1}$
3. C.
   0.033 mol dm$^{-3}$ s$^{-1}$
4. D.
   0.044 mol dm$^{-3}$ s$^{-1}$

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

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1. A.
   Mg
2. B.
   Ca
3. C.
   Be
4. D.
   Sr

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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.
   +5
2. B.
   +6
3. C.
   +7
4. D.
   +8

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1. A.
   $5.72 \times 10^{-5}$
2. B.
   $6.40 \times 10^{-5}$
3. C.
   $7.00 \times 10^{-5}$
4. D.
   $7.81 \times 10^{-5}$

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1. A.
   Ethyldimethylamine
2. B.
   N -Methylaniline
3. C.
   N, N-Dimethylmethanamine
4. D.
   N, N-Dimethylaniline

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1. A.
   $\mathrm{Na_3[AlF_6]}$
2. B.
   $\mathrm{Na[AlF_6]}$
3. C.
   $\mathrm{Na_2[AlF_6]^{2+}}$
4. D.
   $\mathrm{[Al(NaF)_6]^{2+}}$

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1. A.
   Physical states of reactants and products.
2. B.
   Total number of steps in which reaction occurs.
3. C.
   Temperature of the reaction.
4. D.
   Whether the reaction is carried out at constant pressure or constant volume.

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1. A.
   Dipole-induced dipole
2. B.
   Dipole-dipole
3. C.
   Dispersion forces
4. D.
   Intramolecular hydrogen bonding

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1. A.
   $7.4 \times 10^{-23}$ cm$^3$
2. B.
   $9.9 \times 10^{-23}$ cm$^3$
3. C.
   $2.7 \times 10^{-23}$ cm$^3$
4. D.
   $6.4 \times 10^{-23}$ cm$^3$

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1. A.
   Phenol
2. B.
   Benzaldehyde
3. C.
   Benzophenone
4. D.
   Benzoic acid

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1. A.
   Ethyl methyl carbinol
2. B.
   Isobutyl carbinol
3. C.
   Isopropyl carbinol
4. D.
   Diethyl carbinol

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1. A.
   He
2. B.
   Ar
3. C.
   Cl
4. D.
   I