MHT-CET 2023 (3 May Shift 2), Paper II, Physics & Chemistry question paper

1. A.
   will decrease.
2. B.
   will increase.
3. C.
   will not change.
4. D.
   may increase or decrease depending upon the values of pressure and volume.

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1. A.
   $\mu_{0} N^{2}RB$
2. B.
   $\frac{RB}{2\mu_{0} N}$
3. C.
   $\mu_{0} NRB$
4. D.
   $\frac{2RB}{\mu_{0} N}$

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

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1. A.
   $1.8\times10^{5}$ volt
2. B.
   $3.6\times10^{5}$ volt
3. C.
   $5.4\times10^{5}$ volt
4. D.
   $7.2\times10^{5}$ volt

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

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1. A.
   35 cm
2. B.
   40 cm
3. C.
   47 cm
4. D.
   64 cm

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1. A.
   $200\,\Omega,\,0.55\text{ H}$
2. B.
   $100\,\Omega,\,0.8\text{ H}$
3. C.
   $300\,\Omega,\,1.2\text{ H}$
4. D.
   $200\,\Omega,\,1.5\text{ H}$

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1. A.
   $\frac{2\pi MR^{2}}{5T}$
2. B.
   $\frac{4\pi MR^{2}}{5T}$
3. C.
   $\frac{MR^{2}T}{2\pi}$
4. D.
   $\frac{MR^{2}T}{4\pi}$

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1. A.
   $n+\frac{S}{s'}$
2. B.
   $\frac{S(n-1)-S'}{S'}$
3. C.
   $\frac{(n+1)S}{s'}$
4. D.
   $\frac{S(n-1)+S'}{S'}$

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1. A.
   zero
2. B.
   $\frac{1}{2}(m_{1}+m_{2})gt$
3. C.
   $(m_{1}+m_{2})gt$
4. D.
   $2(m_{1}+m_{2})gt$

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1. A.
   $2\pi\times10^{-4}$
2. B.
   $2.4\pi\times10^{-4}$
3. C.
   $4\pi\times10^{-4}$
4. D.
   $4.8\pi\times10^{-4}$

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1. A.
   $\frac{V}{2(l+1.2r)}$
2. B.
   $\frac{V}{(l+1.2r)}$
3. C.
   $\frac{V}{(l+0.3r)}$
4. D.
   $\frac{V}{(l+0.6r)}$

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1. A.
   Opposite to its velocity.
2. B.
   Perpendicular to its velocity.
3. C.
   Zero.
4. D.
   Along its velocity.

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1. A.
   $3.5$
2. B.
   $2.5$
3. C.
   $4.5$
4. D.
   $3$

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

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1. A.
   0.8 A
2. B.
   1.2 A
3. C.
   1.5 A
4. D.
   1.8 A

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1. A.
   30%
2. B.
   40%
3. C.
   50%
4. D.
   60%

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1. A.
   Charge remains constant after it is isolated.
2. B.
   Potential difference across the plates decreases.
3. C.
   Potential difference across the plates increases.
4. D.
   Capacitance of capacitor decreases.

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

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1. A.
   yellow, orange, red
2. B.
   violet, indigo, blue
3. C.
   green, yellow, orange
4. D.
   all colours except green

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

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1. A.
   $\frac{V_R R}{V_L \omega}$
2. B.
   $\frac{V_L}{V_R}\frac{R}{\omega}$
3. C.
   $\frac{V_R\omega}{V_L R}$
4. D.
   $\frac{V_L R}{V_R \omega}$

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1. A.
   its length is doubled.
2. B.
   its length is made four times.
3. C.
   its length is made half.
4. D.
   the mass of the bob is doubled.

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1. A.
   $(A\cdot\bar{B})+(\bar{A}\cdot B)$
2. B.
   $A+(\bar{A}\cdot B)$
3. C.
   $(A\cdot B)+B$
4. D.
   $(\bar{A}\cdot\bar{B})+(A\cdot B)$

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1. A.
   $R^{3}\rho$
2. B.
   $R^{4}\rho^{2}$
3. C.
   $R^{4}\rho$
4. D.
   $R^{3}\rho^{2}$

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1. A.
   5:6
2. B.
   6:7
3. C.
   6:5
4. D.
   7:6

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1. A.
   $\phi_x=\phi_y$
2. B.
   $\phi_x<\phi_y$
3. C.
   $\phi_x>\phi_y$
4. D.
   $\phi_x=\phi_y=0$

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1. A.
   $12\text{ cm s}^{-1}$
2. B.
   $9\text{ cm s}^{-1}$
3. C.
   $6\text{ cm s}^{-1}$
4. D.
   $3\text{ cm s}^{-1}$

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1. A.
   $1.2\times10^{-3}$ Wb
2. B.
   $1.8\times10^{-3}$ Wb
3. C.
   $3.6\times10^{-3}$ Wb
4. D.
   $7.2\times10^{-3}$ Wb

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

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1. A.
   $\frac{1}{\pi}$ m/s
2. B.
   $\frac{1}{2\pi}$ m/s
3. C.
   $\frac{1}{4\pi}$ m/s
4. D.
   $\frac{2}{\pi}$ m/s

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1. A.
   $\frac{q}{4\pi\varepsilon_0 m r}$
2. B.
   $\frac{q}{2\pi\varepsilon_0 m r}$
3. C.
   $\frac{q}{\sqrt{4\pi\varepsilon_0 m r}}$
4. D.
   $\frac{q^2}{4\pi\varepsilon_0 m r}$

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1. A.
   101:102
2. B.
   102:101
3. C.
   8:1
4. D.
   2:1

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

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1. A.
   5%
2. B.
   10%
3. C.
   20%
4. D.
   25%

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1. A.
   $\frac{1}{n^{2}}\frac{h^{2}}{8\pi^{2}I}$
2. B.
   $\frac{1}{n}\frac{h^{2}}{8\pi^{2}I}$
3. C.
   $n\frac{h^{2}}{8\pi^{2}I}$
4. D.
   $n^{2}\frac{h^{2}}{8\pi^{2}I}$

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1. A.
   unchanged.
2. B.
   two times its initial value.
3. C.
   more than two times its initial value.
4. D.
   less than two times its initial value.

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1. A.
   0.2 mm
2. B.
   0.02 mm
3. C.
   2 mm
4. D.
   20 mm

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1. A.
   $Bl^{2}\omega$
2. B.
   $0.5Bl^{2}\omega$
3. C.
   $B/\omega$
4. D.
   $0.5 B/\omega$

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

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1. A.
   $\sqrt{\frac{6T}{g(2\rho-d)}}$
2. B.
   $\sqrt{\frac{8T}{3g(2\rho-d)}}$
3. C.
   $\sqrt{\frac{12T}{g(2\rho-d)}}$
4. D.
   $\sqrt{\frac{3T}{g(2\rho-d)}}$

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1. A.
   becomes zero.
2. B.
   remains unchanged.
3. C.
   will decrease.
4. D.
   will increase.

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1. A.
   $\pi$ rad
2. B.
   $2\pi$ rad.
3. C.
   $3\pi$ rad.
4. D.
   $4\pi$ rad

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1. A.
   30 cm.
2. B.
   40 cm.
3. C.
   50 cm.
4. D.
   60 cm.

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

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1. A.
   15.15 A
2. B.
   9.15 A
3. C.
   8.15 A
4. D.
   6.15 A

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

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1. A.
   trivalent impurity and electrons are majority carriers.
2. B.
   pentavalent impurity and electrons are minority carriers.
3. C.
   pentavalent impurity and holes are minority carriers.
4. D.
   trivalent impurity and holes are majority carriers.

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1. A.
   $\frac{P}{T(C_p - C_v)}$
2. B.
   $\frac{PT}{C_p - C_v}$
3. C.
   $\frac{T(C_p-C_v)}{P}$
4. D.
   $\frac{C_p-C_v}{PT}$

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

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1. A.
   $100.513^{\circ}\text{C}$
2. B.
   $100.256^{\circ}\text{C}$
3. C.
   $100.0513^{\circ}\text{C}$
4. D.
   $100.025^{\circ}\text{C}$

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

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1. A.
   Benzene (structure)
2. B.
   Cyclohexane (structure)
3. C.
   3CH≡CH
4. D.
   Phenol derivative

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1. A.
   $0.01\text{ mol dm}^{-3}\text{ min}^{-1}$
2. B.
   $1.0\text{ mol dm}^{-3}\text{ min}^{-1}$
3. C.
   $0.1\text{ mol dm}^{-3}\text{ min}^{-1}$
4. D.
   $1.66\text{ mol dm}^{-3}\text{ min}^{-1}$

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1. A.
   $-(x+y)\text{ kJ}$
2. B.
   $(x-y)\text{ kJ}$
3. C.
   $\frac{-x+y}{2}\text{ kJ}$
4. D.
   $\frac{x+y}{2}\text{ kJ}$

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1. A.
   Law of combining volumes of gases
2. B.
   Law of conservation of mass
3. C.
   Law of multiple proportions
4. D.
   Law of definite proportions

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1. A.
   ClF > ICl > IBr > BrCl
2. B.
   BrCl > IBr > ICl > ClF
3. C.
   ClF > IBr > BrCl > ICl
4. D.
   ClF > BrCl > IBr > ClF

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

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1. A.
   $\text{CH}_3\text{F}$
2. B.
   $\text{CH}_3\text{Cl}$
3. C.
   $\text{CH}_3\text{Br}$
4. D.
   $\text{CH}_3\text{I}$

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

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1. A.
   1.0 gram
2. B.
   0.72 gram
3. C.
   1.44 gram
4. D.
   1.75 gram

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

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1. A.
   Phenol
2. B.
   tert-Butyl alcohol
3. C.
   o-Nitrophenol
4. D.
   p-Nitrophenol

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1. A.
   $0.010\text{ min}^{-1}$
2. B.
   $0.015\text{ min}^{-1}$
3. C.
   $0.020\text{ min}^{-1}$
4. D.
   $0.025\text{ min}^{-1}$

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1. A.
   Phenol
2. B.
   Benzophenone
3. C.
   Benzyl amine
4. D.
   Benzene

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1. A.
   HCl
2. B.
   H₂O
3. C.
   CH₃COOH
4. D.
   NaOH

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1. A.
   $-2.18\times10^{-18}$ J
2. B.
   $-4.36\times10^{-18}$ J
3. C.
   $-6.54\times10^{-18}$ J
4. D.
   $-8.72\times10^{-18}$ J

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

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

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1. A.
   SCN⁻
2. B.
   H₂O
3. C.
   CN⁻
4. D.
   C₂O₄²⁻

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1. A.
   $\text{C}_6\text{H}_5\text{SOCl}_2$
2. B.
   $\text{C}_2\text{H}_5\text{SO}_2\text{Cl}$
3. C.
   $\text{C}_6\text{H}_5\text{SO}_2\text{Cl}$
4. D.
   $\text{C}_2\text{H}_5\text{CrOCl}_2$

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1. A.
   There is a regularity and periodicity in arrangement of constituent particles.
2. B.
   It is isotropic.
3. C.
   It melts at definite temperature.
4. D.
   It has different magnitudes for refractive index in every direction.

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1. A.
   Protein
2. B.
   Polythene
3. C.
   Nylon
4. D.
   Soap

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1. A.
   Primary alcohol with same number of carbon atoms as in aldehyde.
2. B.
   Primary alcohol with one carbon atom more than aldehyde.
3. C.
   Secondary alcohol with one carbon atom more than aldehyde.
4. D.
   Tertiary alcohol with two carbon atoms more than aldehyde.

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1. A.
   temperature
2. B.
   rate constant
3. C.
   amount of product formed
4. D.
   initial concentration of reactant

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1. A.
   10.4
2. B.
   11.3
3. C.
   12.4
4. D.
   13.2

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1. A.
   $\frac{R_H\cdot3}{6\cdot5}$
2. B.
   $\frac{R_H\cdot5}{3\cdot6}$
3. C.
   $\frac{R_H\cdot21}{100}$
4. D.
   $\frac{R_H\cdot100}{21}$

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1. A.
   $128\text{ S cm}^2\text{ mol}^{-1}$
2. B.
   $302\text{ S cm}^2\text{ mol}^{-1}$
3. C.
   $278\text{ S cm}^2\text{ mol}^{-1}$
4. D.
   $176\text{ S cm}^2\text{ mol}^{-1}$

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1. A.
   Cell–ONa
2. B.
   Cell–O–CS–S⁻Na⁺
3. C.
   Cell–O–CS₂Na
4. D.
   Cell–O–CS₂–

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1. A.
   S²⁻
2. B.
   OH⁻
3. C.
   EDTA
4. D.
   en

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1. A.
   Phthalic acid
2. B.
   Salicylic acid
3. C.
   o-toluic acid
4. D.
   Benzoic acid

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1. A.
   $4.8\times10^{-23}$
2. B.
   $3.6\times10^{-23}$
3. C.
   $2.4\times10^{-23}$
4. D.
   $1.2\times10^{-23}$

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1. A.
   $(R)_3\text{-}C^+$
2. B.
   $(R)_2\text{-}C^+H$
3. C.
   $R\text{-}C^+H_2$
4. D.
   $H_3C^+$

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1. A.
   HCl
2. B.
   PCl₃
3. C.
   PCl₅
4. D.
   SOCl₂

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1. A.
   $0.47\text{ cm}^{-1}$
2. B.
   $0.90\text{ cm}^{-1}$
3. C.
   $1.5\text{ cm}^{-1}$
4. D.
   $2.5\text{ cm}^{-1}$

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1. A.
   $10^{-2}$
2. B.
   $10^{-3}$
3. C.
   $10^{-4}$
4. D.
   $10^{-5}$

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1. A.
   sp
2. B.
   dsp²
3. C.
   sp²
4. D.
   sp³

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1. A.
   Energy of the system remains constant.
2. B.
   Energy of the surrounding remains constant.
3. C.
   Entropy of the universe remains constant.
4. D.
   Energy of the universe remains constant.

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1. A.
   It is formed by addition polymerization.
2. B.
   It is a linear polymer.
3. C.
   It has cis configuration of C=C.
4. D.
   It contains butadiene and styrene as monomer units.

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1. A.
   Nd
2. B.
   Sm
3. C.
   Ho
4. D.
   Lu

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1. A.
   Citric acid
2. B.
   Oxalic acid
3. C.
   Malonic acid
4. D.
   Glutaric acid

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