MHT-CET 2022, Paper II, Physics & Chemistry question paper

1. A.
   $4400 \times 10^{-7}$
2. B.
   $4200 \times 10^{-7}$
3. C.
   $4800 \times 10^{-7}$
4. D.
   $4600 \times 10^{-7}$

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1. A.
   $-\frac{\Delta\phi}{\Delta t + R}$
2. B.
   $\frac{\Delta\phi}{\Delta t \times R}$
3. C.
   $\frac{\Delta\phi}{R}$
4. D.
   $\frac{\Delta\phi}{\Delta t}$

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1. A.
   6400 km
2. B.
   800 km
3. C.
   1600 km
4. D.
   3200 km

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1. A.
   $P_x$ is maximum
2. B.
   $P_z$ is maximum
3. C.
   $P_y$ is maximum
4. D.
   $P_x = P_y = P_z$

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

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1. A.
   $v^2 T = \text{constant}$
2. B.
   $\frac{v^2}{T} = \text{constant}$
3. C.
   $v T^2 = \text{constant}$
4. D.
   $\frac{v}{T^2} = \text{constant}$

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1. A.
   $2\varepsilon_0 E A d$
2. B.
   $\frac{1}{2}\varepsilon_0 E^2 A d$
3. C.
   $\frac{\varepsilon_0 E^2}{2A d}$
4. D.
   $\frac{E^2 A d}{2\varepsilon_0}$

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1. A.
   $f\!\left(\frac{1}{K_1} + \frac{1}{K_2}\right)$
2. B.
   $f\!\left(\frac{1}{K_1} - \frac{1}{K_2}\right)$
3. C.
   $f(K_1 + K_2)$
4. D.
   $f(K_1 - K_2)$

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

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1. A.
   $\frac{4\varepsilon_0 n h^3}{m e^2}$
2. B.
   $\frac{4\varepsilon_0 n^2 h^2}{m e^2}$
3. C.
   $\frac{4\varepsilon_0^2 n^3 h^3}{m e^4}$
4. D.
   $\frac{4\varepsilon_0^2 n^2 h^3}{m e^3}$

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1. A.
   the capacitance of the capacitor increases
2. B.
   the charge on the capacitor decreases
3. C.
   the voltage across the capacitor increases
4. D.
   the energy stored in the capacitor decreases

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

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1. A.
   be zero
2. B.
   flow from Q to S
3. C.
   flow in a direction which depends on value of V
4. D.
   flow from S to Q

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1. A.
   0.4 m
2. B.
   0.1 m
3. C.
   0.2 m
4. D.
   0.3 m

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1. A.
   $W_2 = W_1$
2. B.
   $W_2 = 4W_1$
3. C.
   $W_2 < 4W_1$
4. D.
   $W_2 = 0$

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1. A.
   0.552 A
2. B.
   20.55 A
3. C.
   0.55 A
4. D.
   2 A

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

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1. A.
   $\frac{G(M_1 + M_2)}{d}$
2. B.
   $2\sqrt{\frac{G(M_1 + M_2)}{d}}$
3. C.
   $\sqrt{\frac{Gd}{M_1 + M_2}}$
4. D.
   $\sqrt{\frac{M_1 + M_2}{Gd}}$

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1. A.
   580 K
2. B.
   1200 K
3. C.
   1160 K
4. D.
   927 K

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1. A.
   $\frac{\mu_0(I_1 - I_2)}{\pi d}$
2. B.
   $\frac{\mu_0(I_1 + I_2)}{2\pi d}$
3. C.
   $\frac{\mu_0(I_1 - I_2)}{2\pi d}$
4. D.
   $\frac{\mu_0(I_1 + I_2)}{\pi d}$

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1. A.
   decreasing its length
2. B.
   increasing its area of cross-section
3. C.
   increasing the current through it
4. D.
   increasing the number of turns in it

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

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1. A.
   Path of the electron is more curved than that of proton
2. B.
   They will travel undeflected
3. C.
   Path of the proton is more curved than that of the electron
4. D.
   Both the electron and the proton will move along the same curved path but they will move in opposite directions

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1. A.
   inversely proportional to inductance and frequency of the alternating current
2. B.
   inversely proportional to frequency of alternating current and directly proportional to inductance
3. C.
   inversely proportional to inductance and directly proportional to the frequency of alternating current
4. D.
   directly proportional to inductance and frequency of alternating current

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1. A.
   $\frac{V^2}{dC}$
2. B.
   $\frac{C^2 V^2}{d^2}$
3. C.
   $\frac{CV^2}{2d}$
4. D.
   $\frac{C^2 V^2}{2d^2}$

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1. A.
   Both statements A and B are wrong.
2. B.
   Only the statement B is true.
3. C.
   Only the statement A is true.
4. D.
   Both statements A and B are true.

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

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1. A.
   $250$ m$^{-1}$
2. B.
   $2.5 \times 10^6$ m$^{-1}$
3. C.
   $0.25 \times 10^9$ m$^{-1}$
4. D.
   $2.5 \times 10^5$ m$^{-1}$

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1. A.
   $2\pi\sqrt{\frac{\pi}{8}}$
2. B.
   $\frac{1}{2\pi}\sqrt{\frac{\pi}{8}}$
3. C.
   $\frac{1}{2\pi}\sqrt{\frac{g}{r}}$
4. D.
   $2\pi\sqrt{\frac{g}{r}}$

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1. A.
   $\sqrt{\frac{m_{[2]}}{m_1}}$
2. B.
   $\frac{m_1}{m_2}$
3. C.
   $\sqrt{\frac{m_1}{m_2}}$
4. D.
   $\frac{m_2}{m_1}$

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

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1. A.
   20 g
2. B.
   10 g
3. C.
   40 g
4. D.
   5 g

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

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

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1. A.
   momentum
2. B.
   velocity
3. C.
   acceleration
4. D.
   kinetic energy

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1. A.
   $\frac{T}{\rho g d}$
2. B.
   $\frac{4T}{3\rho g d}$
3. C.
   $\frac{3T}{4\rho g d}$
4. D.
   $\frac{2T}{\rho g d}$

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1. A.
   3.6 N
2. B.
   2.4 N
3. C.
   1.2 N
4. D.
   6.0 N

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1. A.
   isochoric process
2. B.
   adiabatic process
3. C.
   isothermal process
4. D.
   isobaric process

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1. A.
   7 A
2. B.
   3.3 A
3. C.
   2 A
4. D.
   2.5 A

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

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1. A.
   $6\,\Omega$
2. B.
   $7\,\Omega$
3. C.
   $10\,\Omega$
4. D.
   $5\,\Omega$

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

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1. A.
   2f
2. B.
   4f
3. C.
   1.5f
4. D.
   2.5f

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1. A.
   specific heat
2. B.
   thermal capacity
3. C.
   water equivalent
4. D.
   temperature gradient

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1. A.
   6.5 s
2. B.
   20 s
3. C.
   16.5 s
4. D.
   10 s

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

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1. A.
   $\tan^{-1}\!\left(\frac{4}{3}\right)$
2. B.
   $\tan^{-1}\!\left(\frac{3}{4}\right)$
3. C.
   $\tan^{-1}\!\left(\frac{3}{2}\right)$
4. D.
   $\tan^{-1}\!\left(\frac{4}{5}\right)$

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1. A.
   a pure direct current
2. B.
   a.c. with ripples at double the input frequency
3. C.
   a.c. at the same frequency as input
4. D.
   pulsating d.c. at double the input frequency

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1. A.
   $25$ dyne/cm
2. B.
   $100$ dyne/cm
3. C.
   $200$ dyne/cm
4. D.
   $50$ dyne/cm

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

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1. A.
   $2.22 \times 10^{-3}$ mol dm$^{-3}$
2. B.
   $1.11 \times 10^{-3}$ mol dm$^{-3}$
3. C.
   $4.44 \times 10^{-3}$ mol dm$^{-3}$
4. D.
   $3.33 \times 10^{-3}$ mol dm$^{-3}$

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1. A.
   $\text{NaClO}_3$, NaCl and $\text{H}_2\text{O}$
2. B.
   NaCl and HOCl
3. C.
   $\text{Na}_2\text{O}$ and NaCl
4. D.
   NaOCl and $\text{H}_2\text{O}$

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

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1. A.
   $\text{sp}^3$
2. B.
   $\text{dsp}^2$
3. C.
   $\text{d}^2\text{sp}^3$
4. D.
   $\text{sp}^3\text{d}^2$

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1. A.
   $2.74 \times 10^{-4}$ mol dm$^{-3}$
2. B.
   $3.94 \times 10^{-4}$ mol dm$^{-3}$
3. C.
   $6.85 \times 10^{-4}$ mol dm$^{-3}$
4. D.
   $5.48 \times 10^{-4}$ mol dm$^{-3}$

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1. A.
   273.15°C
2. B.
   −373.15°C
3. C.
   0°C
4. D.
   −273.15°C

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1. A.
   Stephen reaction: SnCl2, HCl
2. B.
   Etard reaction: CrO2Cl2
3. C.
   Gattermann–Koch formulation: CrO3/CH3CO2O
4. D.
   Rosenmund reduction: H2/Pd–BaSO4

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

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1. A.
   HCl
2. B.
   HI
3. C.
   HBr
4. D.
   HF

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1. A.
   52.36%
2. B.
   68%
3. C.
   80%
4. D.
   74%

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1. A.
   Magnesium
2. B.
   Sodium
3. C.
   Silver
4. D.
   Zinc

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1. A.
   Good conductors of heat and electricity
2. B.
   All are non-radioactive elements
3. C.
   Have greater coordination number than six
4. D.
   Strongly paramagnetic

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1. A.
   $\text{BCl}_3$
2. B.
   $\text{HNO}_3$
3. C.
   $\text{NH}_3$
4. D.
   $\text{HSO}_4^-$

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1. A.
   $\text{CH}_3\text{COONH}_4$
2. B.
   $\text{Na}_2\text{CO}_3$
3. C.
   $\text{NH}_4\text{Cl}$
4. D.
   NaCl

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1. A.
   Ammonium salt of higher fatty acids
2. B.
   Sodium salt of formic acid
3. C.
   Potassium salt of higher fatty acids
4. D.
   Ammonium salt of formic acid

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1. A.
   1930 second
2. B.
   193 second
3. C.
   965 second
4. D.
   9650 second

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1. A.
   Lead storage battery
2. B.
   Dry cell
3. C.
   Nickel-cadmium cell
4. D.
   Mercury cell

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1. A.
   Four
2. B.
   Two
3. C.
   Zero
4. D.
   Six

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1. A.
   Action of magnesium powder on alkyl halide in aqueous medium
2. B.
   Action of magnesium hydroxide on alkyl halide
3. C.
   Action of magnesium metal on alkyl halide in presence of dry ether
4. D.
   Action of MgCl2 on alkyl halide in presence of dry ether

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1. A.
   $14.92$ g cm$^{-3}$
2. B.
   $16.00$ g cm$^{-3}$
3. C.
   $19.93$ g cm$^{-3}$
4. D.
   $18.00$ g cm$^{-3}$

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1. A.
   20.2 J
2. B.
   −404 J
3. C.
   202 J
4. D.
   −35.0 J

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1. A.
   Urea and Formaldehyde
2. B.
   Glycine and $\varepsilon$-amino caproic acid
3. C.
   Adipic acid and hexamethylene diamine
4. D.
   3-Hydroxybutanoic acid and 3-Hydroxy pentanoic acid

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1. A.
   Irreversible
2. B.
   Bulk
3. C.
   Exothermic
4. D.
   Endothermic

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1. A.
   $4.3 \times 10^{-5}$ sec$^{-1}$
2. B.
   $7.7 \times 10^{-5}$ sec$^{-1}$
3. C.
   $6.9 \times 10^{-5}$ sec$^{-1}$
4. D.
   $8.4 \times 10^{-5}$ sec$^{-1}$

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

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1. A.
   Er
2. B.
   Lu
3. C.
   Eu
4. D.
   Yb

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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.
   Cytosine
2. B.
   Uracil
3. C.
   Guanine
4. D.
   Thymine

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

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1. A.
   $\text{He}$
2. B.
   $\text{He}^+$
3. C.
   $\text{Li}^{2+}$
4. D.
   $\text{Be}^{3+}$

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1. A.
   Phenoxide ion
2. B.
   Sodium phenoxide
3. C.
   Benzene diazonium chloride
4. D.
   Benzene

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1. A.
   $2y + Z \rightarrow 3x$
2. B.
   $2y \rightarrow 3x + Z$
3. C.
   $3x + 2y \rightarrow Z$
4. D.
   $3x \rightarrow 2y + Z$

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1. A.
   Mustard gas
2. B.
   Phosgene
3. C.
   Tear gas
4. D.
   Phosphine

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1. A.
   −388 kJ
2. B.
   −194 kJ
3. C.
   −97 kJ
4. D.
   194 kJ

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1. A.
   1 m
2. B.
   1 M
3. C.
   1 N
4. D.
   N/10

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1. A.
   Cumene hydroperoxide
2. B.
   Phenol and $\text{CO}_2$
3. C.
   Acetone and Benzoic acid
4. D.
   Phenol + Acetone

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1. A.
   To prepare shopping bags
2. B.
   To prepare microwavable food trays
3. C.
   To manufacture disposable cups and plates
4. D.
   To prepare bottles for storage of mouth wash

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1. A.
   conc. $\text{HNO}_3$
2. B.
   Ni
3. C.
   $\text{Zn} + \text{H}_2\text{O}$
4. D.
   Zn

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1. A.
   But-2-ene and But-1-ene
2. B.
   n-Butane and 2-Methylpropane
3. C.
   Ethoxyethane and methoxypropane
4. D.
   Dimethyl ether and ethyl alcohol

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1. A.
   $Q = W - \Delta U$
2. B.
   $Q = \Delta U - W$
3. C.
   $Q = \Delta U + W$
4. D.
   $Q = -W$

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1. A.
   $1.0 \times 10^{22}$
2. B.
   $2.1 \times 10^{22}$
3. C.
   $1.4 \times 10^{22}$
4. D.
   $1.8 \times 10^{22}$

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1. A.
   $\text{BF}_3$
2. B.
   $\text{H}_2\text{O}$
3. C.
   $\text{C}_2\text{H}_4$
4. D.
   $\text{BeCl}_2$

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1. A.
   $\text{Na} \rightarrow \text{Na}^+$
2. B.
   $\text{VO}^{2+} \rightarrow \text{V}_2\text{O}_3$
3. C.
   $\text{Zn}^{2+} \rightarrow \text{Zn}$
4. D.
   $\text{CrO}_4^{2-} \rightarrow \text{Cr}_2\text{O}_7^{2-}$