MHT-CET 2024 (14 May Shift 1), Paper II, Physics & Chemistry question paper

1. A.
   5D, 5D
2. B.
   6D, 4D
3. C.
   7D, 3D
4. D.
   8D, 2D

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1. A.
   $\dfrac{\lambda}{4\epsilon_0}$
2. B.
   $\dfrac{2\epsilon_0}{\lambda}$
3. C.
   $\dfrac{\lambda}{4\epsilon_0 r}$
4. D.
   $\dfrac{2\pi\epsilon_0}{\lambda}$

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1. A.
   $357^\circ\text{C}$
2. B.
   $457^\circ\text{C}$
3. C.
   $547^\circ\text{C}$
4. D.
   $820^\circ\text{C}$

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1. A.
   $\dfrac{\pi}{4}$
2. B.
   $\dfrac{\pi}{8}$
3. C.
   $\dfrac{\pi}{16}$
4. D.
   $\dfrac{\pi}{32}$

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1. A.
   equal width.
2. B.
   equal width and unequal intensity
3. C.
   unequal width but equal intensity.
4. D.
   unequal width and unequal intensity.

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1. A.
   zero
2. B.
   less
3. C.
   same
4. D.
   large

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

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1. A.
   $\dfrac{6\times10^{-6}}{\epsilon_0}\,\text{Vm}^{-1}$
2. B.
   $\dfrac{6\times10^{-8}}{\epsilon_0}\,\text{Vm}^{-1}$
3. C.
   $\dfrac{2\times10^{-7}}{\epsilon_0}\,\text{Vm}^{-1}$
4. D.
   $\dfrac{1\times10^{-7}}{\epsilon_0}\,\text{Vm}^{-1}$

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1. A.
   $\dfrac{I_0}{2}$
2. B.
   $I_0$
3. C.
   $4I_0$
4. D.
   $2I_0$

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1. A.
   $1:1$
2. B.
   $\left(\frac{\pi}{6}\right)^{2/3}$
3. C.
   $\left(\frac{\pi}{6}\right)^{1/3}$
4. D.
   $\frac{4\pi}{3}:1$

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

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1. A.
   $t=0$ and $a+r=1$
2. B.
   $a=r=t$
3. C.
   $t\neq0$
4. D.
   $a=0, r=1, t=1$

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

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1. A.
   $\omega\cos\phi$
2. B.
   $a\omega$
3. C.
   $\omega\cos2\phi$
4. D.
   $-a\omega\cos2\phi$

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1. A.
   $L\theta\cos\sqrt{\dfrac{g}{L}}\cdot t$
2. B.
   $L\theta\sin\left(2\pi\sqrt{\dfrac{g}{L}}\cdot t\right)$
3. C.
   $L\theta\cos\left(2\pi\sqrt{\dfrac{g}{L}}\cdot t\right)$
4. D.
   $L\theta\sin\sqrt{\dfrac{g}{L}}\cdot t$

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1. A.
   50
2. B.
   60
3. C.
   70
4. D.
   80

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1. A.
   $\dfrac{mglB}{R}$
2. B.
   $\dfrac{B^2l^2}{mgR}$
3. C.
   $\dfrac{mgR}{Bl}$
4. D.
   $\dfrac{mgR}{B^2l^2}$

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1. A.
   zero
2. B.
   0.5
3. C.
   1
4. D.
   $\infty$

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1. A.
   always used in reverse biased condition.
2. B.
   never used in forward or reserve biased condition.
3. C.
   used both in forward and reverse biased condition depending upon its application.
4. D.
   always used in forward biased condition.

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1. A.
   $\dfrac{\rho r}{3\epsilon_0}$
2. B.
   $\dfrac{\rho}{4\pi\epsilon_0 r}$
3. C.
   zero
4. D.
   $\dfrac{5\rho r}{6\epsilon_0}$

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1. A.
   $X_L=X_C-R$
2. B.
   $X_L=X_C+R$
3. C.
   $X_C=X_L^2+R^2$
4. D.
   $X_L=X_C^2+R^2$

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

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

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1. A.
   $\dfrac{\pi}{3}$ rad
2. B.
   $\dfrac{\pi}{2}$ rad
3. C.
   $\dfrac{2\pi}{5}$ rad
4. D.
   $\dfrac{2\pi}{3}$ rad

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

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1. A.
   the valence band is completely filled.
2. B.
   the conduction band is completely filled.
3. C.
   the conduction band is partially filled and valence band is partially empty.
4. D.
   the valence band is completely filled and the conduction band is partially filled.

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1. A.
   $\sqrt{\dfrac{M\pi}{4I}}$
2. B.
   $4\pi\left(\dfrac{I}{M}\right)^{1/2}$
3. C.
   $4\left(\dfrac{M}{\pi I}\right)^{1/2}$
4. D.
   $4\pi\sqrt{\dfrac{M}{I}}$

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

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1. A.
   $4\pi r$
2. B.
   $6\pi r$
3. C.
   $8\pi r$
4. D.
   $\dfrac{\pi r}{4}$

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1. A.
   $2mg$
2. B.
   $mg\left(1+\dfrac{A}{l^2}\right)$
3. C.
   $mg\left(1+\dfrac{A^2}{l^2}\right)$
4. D.
   $mg\left(1+\dfrac{A}{l}\right)$

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1. A.
   $g = \sqrt{\frac{3\pi R}{\rho G}}$
2. B.
   $g = \sqrt{\frac{4}{3}\pi\rho GR}$
3. C.
   $g=\dfrac{4}{3}\pi\rho GR$
4. D.
   $g=\dfrac{GM}{\rho R^2}$

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1. A.
   210 Hz
2. B.
   180 Hz
3. C.
   105 Hz
4. D.
   1050 Hz

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

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1. A.
   $3\times10^{-6}$ Nm
2. B.
   $12\times10^{-6}$ Nm
3. C.
   $6\times10^{-6}$ Nm
4. D.
   $24\times10^{-6}$ Nm

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1. A.
   $\dfrac{1}{\alpha}=\dfrac{1}{\beta}+1$
2. B.
   $\alpha=\dfrac{\beta}{1-\beta}$
3. C.
   $\alpha=\dfrac{\beta}{1+\beta}$
4. D.
   $\dfrac{1}{\beta}=\dfrac{1}{\alpha}-1$

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1. A.
   $ml^2\omega^2$
2. B.
   $\dfrac{ml^2\omega^2}{4}$
3. C.
   $\dfrac{ml^2\omega^2}{6}$
4. D.
   $\dfrac{ml^2\omega^2}{12}$

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1. A.
   1:1
2. B.
   $\dfrac{R-2h}{R-d}$
3. C.
   $\dfrac{R-d}{R-2h}$
4. D.
   $\dfrac{R-d}{R-h}$

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1. A.
   $\lambda\propto E$
2. B.
   $\lambda\propto E^{-1}$
3. C.
   $\lambda\propto E^{1/2}$
4. D.
   $\lambda\propto E^{-1/2}$

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1. A.
   $\eta=\dfrac{1}{\beta}$
2. B.
   $\eta=\dfrac{1}{\beta+1}$
3. C.
   $\eta\beta=\dfrac{1}{2}$
4. D.
   $\eta=\dfrac{1}{\beta-1}$

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1. A.
   the sphere reaches room temperature fast.
2. B.
   the cube reaches room temperature fast.
3. C.
   the circular plate reaches room temperature fast.
4. D.
   will reach the room temperature simultaneously.

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1. A.
   1 m
2. B.
   0.75 m
3. C.
   0.5 m
4. D.
   0.25 m

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1. A.
   5 in parallel and 2 in series.
2. B.
   4 in parallel and 3 in series.
3. C.
   3 in parallel and 4 in series.
4. D.
   2 in parallel and 5 in series

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1. A.
   $\dfrac{3\lambda_1}{4\lambda_2}$
2. B.
   $\dfrac{3\lambda_2}{4\lambda_1}$
3. C.
   $\dfrac{4\lambda_1}{3\lambda_2}$
4. D.
   $\dfrac{4\lambda_2}{3\lambda_1}$

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1. A.
   $mL^2\omega$
2. B.
   $mL\omega^2$
3. C.
   $\omega^2 mL$
4. D.
   $m\omega^2 L$

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1. A.
   1 A from Q to P
2. B.
   1 A from P to Q
3. C.
   3 A from P to Q
4. D.
   2 A from Q to P

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1. A.
   impedance
2. B.
   admittance
3. C.
   resistance
4. D.
   inductive and capacitive reactance

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1. A.
   $\dfrac{V^2}{r}$
2. B.
   $\dfrac{2V^2}{r}$
3. C.
   $\dfrac{2V^2}{\pi r}$
4. D.
   $\dfrac{V^2}{\pi r}$

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1. A.
   varying electric field.
2. B.
   varying magnetic field.
3. C.
   the iron core.
4. D.
   heat produced in the coil.

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1. A.
   $\Delta U=dW$ is an isothermal process
2. B.
   $\Delta U=-dW$ is an adiabatic process
3. C.
   $\Delta U=-dW$ is an isothermal process
4. D.
   $\Delta U=dW$ is an adiabatic process.

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1. A.
   $2\times10^{-3}$ s
2. B.
   0.5 s
3. C.
   0.1 s
4. D.
   1 s

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1. A.
   System can exchange heat energy with the surrounding.
2. B.
   Enthalpy of system remains constant
3. C.
   Temperature of systems remains constant.
4. D.
   Internal energy of system remains constant.

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1. A.
   $\text{PCl}_3$
2. B.
   $\text{HCl}$
3. C.
   $\text{PCl}_5$
4. D.
   $\text{SOCl}_2$

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1. A.
   $-42.5\,\text{J K}^{-1}$
2. B.
   $-23.3\,\text{J K}^{-1}$
3. C.
   $-30.7\,\text{J K}^{-1}$
4. D.
   $-110.0\,\text{J K}^{-1}$

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1. A.
   Bakelite
2. B.
   Teflon
3. C.
   Melamine-formaldehyde
4. D.
   Polyacrylonitrile

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1. A.
   Sucrose
2. B.
   Maltose
3. C.
   Lactose
4. D.
   Glucose

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1. A.
   $\text{X}_2\text{Y}_3$
2. B.
   $\text{XY}$
3. C.
   $\text{X}_3\text{Y}_2$
4. D.
   $\text{XY}_2$

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1. A.
   Platinized asbestos
2. B.
   Fe-Cr catalyst
3. C.
   Ni
4. D.
   $\text{MnO}_2$

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1. A.
   273
2. B.
   327
3. C.
   600
4. D.
   453

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

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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.
   n-Butylamine
2. B.
   tert-Butylamine
3. C.
   Ethyl dimethyl amine
4. D.
   Diethylamine

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1. A.
   $\text{Na}_3[\text{Co}(\text{NO}_2)_6]$
2. B.
   $\text{Na}_2[\text{Co}(\text{NO}_2)_6]$
3. C.
   $[\text{Co}(\text{Na})(\text{NO}_2)_6]$
4. D.
   $\text{Na}_3[\text{Co}(\text{ONO})_6]$

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1. A.
   $1.17\times10^{-23}\,\text{cm}^3$
2. B.
   $4.79\times10^{-23}\,\text{cm}^3$
3. C.
   $3.31\times10^{-23}\,\text{cm}^3$
4. D.
   $2.33\times10^{-23}\,\text{cm}^3$

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

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1. A.
   One
2. B.
   Two
3. C.
   Three
4. D.
   Four

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1. A.
   $\text{Ti}^{3+}$
2. B.
   $\text{V}^{3+}$
3. C.
   $\text{Sc}^{3+}$
4. D.
   $\text{Cu}^{2+}$

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1. A.
   0.55 K
2. B.
   0.74 K
3. C.
   0.86 K
4. D.
   0.98 K

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1. A.
   The anode acts as negative electrode.
2. B.
   The cathode acts as a positive electrode.
3. C.
   It converts electrical energy into chemical energy.
4. D.
   Dry cell is an example of voltaic cell.

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1. A.
   accept a pair of electron
2. B.
   donate a pair of electron
3. C.
   accept $\text{H}^+$ ions
4. D.
   donate $\text{OH}^-$ ions

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1. A.
   Vapour pressure lowering
2. B.
   Boiling point
3. C.
   Freezing point depression
4. D.
   Osmotic pressure

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1. A.
   $1\times10^{-3}\,\text{s}^{-1}$
2. B.
   $2\times10^{-3}\,\text{s}^{-1}$
3. C.
   $3\times10^{-3}\,\text{s}^{-1}$
4. D.
   $4\times10^{-3}\,\text{s}^{-1}$

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1. A.
   Pyrrole
2. B.
   Piperidine
3. C.
   Pyridine
4. D.
   Pyran

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1. A.
   4, 8
2. B.
   9, 18
3. C.
   16, 32
4. D.
   1, 2

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1. A.
   Aldotriose
2. B.
   Aldotetrose
3. C.
   Ketotetrose
4. D.
   Ketopentose

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1. A.
   7
2. B.
   14
3. C.
   1
4. D.
   3

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1. A.
   Sr
2. B.
   Rb
3. C.
   Na
4. D.
   Li

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

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1. A.
   3-Bromo-4-ethylbut-3-ene
2. B.
   3-Bromo-4-methylhex-3-ene
3. C.
   4-Bromo-3-methylhex-3-ene
4. D.
   4-Bromo-4-ethyl-3-methylbut-3-ene

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1. A.
   $6.022\times10^{22}$
2. B.
   $2.4088\times10^{23}$
3. C.
   $1.8066\times10^{22}$
4. D.
   $6.022\times10^{23}$

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1. A.
   125 s
2. B.
   250 s
3. C.
   100 s
4. D.
   150 s

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1. A.
   Benzal chloride
2. B.
   Benzaldehyde
3. C.
   Benzyl alcohol
4. D.
   Benzoic acid

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1. A.
   70.1%
2. B.
   77.7%
3. C.
   90.5%
4. D.
   95.0%

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1. A.
   Methyl carbinol
2. B.
   Ethyl carbinol
3. C.
   Dimethyl carbinol
4. D.
   Isopropyl carbinol

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1. A.
   $4\times10^{-7}$
2. B.
   $2\times10^{-6}$
3. C.
   $2\times10^{-7}$
4. D.
   $1\times10^{-7}$

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1. A.
   Rate $=k[\text{CHCl}_3][\text{Cl}_2]^{1/2}$
2. B.
   Rate $=k[\text{CHCl}_4]^2[\text{Cl}_2]^{1/2}$
3. C.
   Rate $=k[\text{CHCl}_3]^{3/2}[\text{Cl}_2]$
4. D.
   Rate $=k[\text{CHCl}_3]^{1/2}[\text{Cl}_2]$

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1. A.
   $107^\circ$
2. B.
   $120^\circ$
3. C.
   $104.5^\circ$
4. D.
   $60^\circ$

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1. A.
   5.5
2. B.
   2.5
3. C.
   2.0
4. D.
   1.7

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1. A.
   $-708.4\,\text{kJ mol}^{-1}$
2. B.
   $-789.3\,\text{kJ mol}^{-1}$
3. C.
   $-741.7\,\text{kJ mol}^{-1}$
4. D.
   $-863.9\,\text{kJ mol}^{-1}$

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1. A.
   Acrylic acid
2. B.
   Oxalic acid
3. C.
   Salicylic acid
4. D.
   Phthalic acid

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1. A.
   Resorcinol and Pyrogallol
2. B.
   Quinol and Phloroglucinol
3. C.
   Phloroglucinol and Pyrogallol
4. D.
   Catechol and Quinol