MHT-CET 2024 (13 May Shift 2), Paper II, Physics & Chemistry question paper

1. A.
   1:4
2. B.
   4:1
3. C.
   1:16
4. D.
   16:1

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1. A.
   Intensity of fringes remains unaltered
2. B.
   Intensity of bright fringe decreases and that of dark fringe increases
3. C.
   Intensity of bright fringe increases and that of dark fringe decreases
4. D.
   Intensity of both bright and dark fringes decreases

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1. A.
   $20^\circ$
2. B.
   $30^\circ$
3. C.
   $39^\circ$
4. D.
   $45^\circ$

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1. A.
   7.0 m
2. B.
   7.5 m
3. C.
   5.5 m
4. D.
   3.2 m

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

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

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

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1. A.
   $2\lambda$
2. B.
   $4\lambda$
3. C.
   $6\lambda$
4. D.
   $8\lambda$

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1. A.
   1:3
2. B.
   1:8
3. C.
   8:1
4. D.
   27:1

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1. A.
   10 A
2. B.
   $5\sqrt{2}\ \text{A}$
3. C.
   20 A
4. D.
   $10\sqrt{2}\ \text{A}$

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1. A.
   240 V
2. B.
   2400 V
3. C.
   0.24 V
4. D.
   0.08 V

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1. A.
   $2\times10^{-34}\ \text{Js}$
2. B.
   $6.63\times10^{-34}\ \text{Js}$
3. C.
   $1\times10^{-34}\ \text{Js}$
4. D.
   $3.14\times10^{-34}\ \text{Js}$

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1. A.
   Heating of a copper utensil
2. B.
   Heating a room by heater
3. C.
   Heating of Iron rod
4. D.
   Heat transferred from sun to earth

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

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1. A.
   3rd dark band
2. B.
   4th bright band
3. C.
   5th dark band
4. D.
   6th bright band

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1. A.
   soft ferromagnetic substance soft iron.
2. B.
   diamagnetic substance fine copper gauge.
3. C.
   paramagnetic substance aluminium.
4. D.
   paramagnetic material tantalum.

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1. A.
   $\frac{G}{25}$
2. B.
   $\frac{G}{24}$
3. C.
   $24G$
4. D.
   $25G$

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

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1. A.
   $x=y$
2. B.
   $x=2y$
3. C.
   $y=2x$
4. D.
   $y=4x$

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1. A.
   15 N
2. B.
   24 N
3. C.
   49 N
4. D.
   74 N

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

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1. A.
   $4P_0$
2. B.
   $2P_0$
3. C.
   $P_0$
4. D.
   $\frac{P_0}{2}$

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

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1. A.
   $\sqrt{\frac{g}{l}}$
2. B.
   $\sqrt{mgl}$
3. C.
   $\sqrt{\frac{3g}{l}}$
4. D.
   $\sqrt{\frac{mg}{3l}}$

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1. A.
   $2\pi\left(\frac{M_1 g x}{M+M_1}\right)^{\frac{1}{2}}$
2. B.
   $2\pi\left(\frac{(M+M_1)x}{M_1 g}\right)^{\frac{1}{2}}$
3. C.
   $\frac{\pi}{2}\left(\frac{M_1 g x}{M+M_1}\right)^{\frac{1}{2}}$
4. D.
   $2\pi\left(\frac{M+M_1}{M_1 g x}\right)^{\frac{1}{2}}$

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1. A.
   $\frac{u^2}{g}$
2. B.
   $\frac{u^2\cos^2\theta}{g}$
3. C.
   $\frac{u^2\sin^2\theta}{g}$
4. D.
   $\frac{u^2\cos^2\theta}{2g}$

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1. A.
   383 Hz, 388 Hz
2. B.
   388 Hz, 392 Hz
3. C.
   475 Hz, 480 Hz
4. D.
   480 Hz, 485 Hz

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

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1. A.
   Equation of state is $PV^\gamma=$ constant.
2. B.
   There is exchange of heat with surrounding.
3. C.
   All the work is utilized to change the internal energy of the system.
4. D.
   Temperature of the system changes i.e. $\Delta T\neq0$

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1. A.
   diffraction as well as photoelectric effect
2. B.
   diffraction as well as reflection
3. C.
   refraction as well as interference
4. D.
   photoelectric effect

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1. A.
   $T=\sqrt{\frac{T_1^2+T_2^2}{T_1^2 T_2^2}}$
2. B.
   $T=\sqrt{\frac{T_1^2 T_2^2}{T_1^2+T_2^2}}$
3. C.
   $T=\sqrt{T_1^2 T_2^2}$
4. D.
   $T=\sqrt{T_1^2+T_2^2}$

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1. A.
   $I_A>I_D>I_C>I_D$
2. B.
   $I_D>I_C>I_B>I_A$
3. C.
   $I_A=I_D>I_B=I_C$
4. D.
   $I_A=I_B<I_B=I_C$

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

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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.
   $\frac{2V}{a}$
2. B.
   $\frac{a}{2V}$
3. C.
   $\frac{V}{2a}$
4. D.
   $\frac{V}{a}$

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

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1. A.
   $\frac{1}{4\pi\varepsilon_0}\frac{Qq}{r^2}$
2. B.
   $\frac{1}{4\pi\varepsilon_0}\frac{Qq}{r}\times\frac{\pi}{6}$
3. C.
   $\frac{1}{4\pi\varepsilon_0}\frac{Qq}{r}$
4. D.
   Zero

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1. A.
   $ny:mx$
2. B.
   $my:nx$
3. C.
   $nx:my$
4. D.
   $mx:ny$

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1. A.
   its phase changes by $180^\circ$ but velocity does not change.
2. B.
   its phase does not change but velocity changes.
3. C.
   its velocity changes and phase changes by $180^\circ$
4. D.
   nothing can be predicted about changes in its velocity and phase.

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1. A.
   Decreases
2. B.
   Does not change
3. C.
   May increase or decrease depending on the dopant
4. D.
   Increases

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1. A.
   $\sqrt{\lambda R(\lambda R-1)}$
2. B.
   $\sqrt{\frac{\lambda R}{\lambda R-1}}$
3. C.
   $\sqrt{\frac{\lambda R-1}{\lambda R}}$
4. D.
   $\sqrt{\dfrac{1}{\lambda R(\lambda R-1)}}$

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

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

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1. A.
   partly kinetic and partly potential.
2. B.
   totally kinetic.
3. C.
   totally potential.
4. D.
   neither kinetic nor potential

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

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1. A.
   $\pi\ \text{mV}$
2. B.
   $2\pi\ \text{mV}$
3. C.
   $40\pi\ \mu\text{V}$
4. D.
   $4\pi\ \mu\text{V}$

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1. A.
   2 cm
2. B.
   0.2 cm
3. C.
   0.02 cm
4. D.
   0.01 cm

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1. A.
   $K(1+n)$
2. B.
   $\frac{K(n+1)}{n}$
3. C.
   $K$
4. D.
   $K(n+1)$

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

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

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1. A.
   1-Iodo-1,3,4-trimethylhex-2-ene
2. B.
   2-Iodo-4,5-dimethylhept-3-ene
3. C.
   2-Iodo-5-ethyl-4-methylhex-3-ene
4. D.
   1-Iodo-4-ethyl-1,3-dimethylpent-2-ene

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1. A.
   8.62
2. B.
   4.64
3. C.
   5.66
4. D.
   3.34

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1. A.
   0
2. B.
   1
3. C.
   2
4. D.
   2.5

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1. A.
   $\text{CN}^-$
2. B.
   $\text{H}_2\text{NCH}_2\text{CH}_2\text{NH}_2$
3. C.
   $\text{OH}^-$
4. D.
   $\text{Cl}^-$

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1. A.
   $4.6\times10^{-3}\ \text{M}$
2. B.
   $4.5\times10^{-2}\ \text{M}$
3. C.
   $4.0\times10^{-4}\ \text{M}$
4. D.
   $3.6\times10^{-2}\ \text{M}$

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1. A.
   0.035 and 0.065
2. B.
   0.055 and 0.045
3. C.
   0.45 and 0.55
4. D.
   0.55 and 0.45

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1. A.
   $15354.8\ \text{cm}^{-1}$
2. B.
   $82257.8\ \text{cm}^{-1}$
3. C.
   $30515.4\ \text{cm}^{-1}$
4. D.
   $41128.5\ \text{cm}^{-1}$

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1. A.
   1.30
2. B.
   2.33
3. C.
   3.00
4. D.
   4.11

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1. A.
   NaBr
2. B.
   NaNO$_3$
3. C.
   KNO$_3$
4. D.
   $\text{Na}_2\text{SO}_4$

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1. A.
   Isoprene
2. B.
   1,3-Butadiene
3. C.
   Phenol and formaldehyde
4. D.
   Melamine

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1. A.
   Rate increases by factor 2
2. B.
   Rate increases by factor 4
3. C.
   Rate remains same
4. D.
   Rate decreases by factor 2

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

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1. A.
   $\text{C}_8\text{H}_{10}\text{N}_2$
2. B.
   $\text{C}_7\text{H}_9\text{N}$
3. C.
   $\text{C}_{10}\text{H}_{14}\text{N}_2$
4. D.
   $\text{C}_{10}\text{H}_{14}\text{N}$

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1. A.
   $121.3\ \Omega^{-1}\ \text{cm}^2\ \text{mol}^{-1}$
2. B.
   $115.1\ \Omega^{-1}\ \text{cm}^2\ \text{mol}^{-1}$
3. C.
   $126.5\ \Omega^{-1}\ \text{cm}^2\ \text{mol}^{-1}$
4. D.
   $131.2\ \Omega^{-1}\ \text{cm}^2\ \text{mol}^{-1}$

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1. A.
   0.637 V
2. B.
   $-0.530\ \text{V}$
3. C.
   $-0.889\ \text{V}$
4. D.
   0.789 V

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1. A.
   2-Ethyl-3-methylcyclopentanol
2. B.
   2-Methyl-3-ethylcyclopentanol
3. C.
   1-Methyl-3-ethylcyclopentanol
4. D.
   2-Ethyl-5-methylcyclopentanol

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1. A.
   Rb
2. B.
   Sr
3. C.
   Fr
4. D.
   Cs

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1. A.
   The existence of substance in more than one crystalline form.
2. B.
   Polymorphism occurring in element is called allotropy.
3. C.
   Polymorphic forms of a substance are formed under different conditions.
4. D.
   The crystal shape of polymorphic substances are identical to each other.

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1. A.
   Prop-2-en-1-ol
2. B.
   But-2-en-2-ol
3. C.
   But-3-en-2-ol
4. D.
   2-methylbut-3-en-2-ol

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1. A.
   $\beta$-1,4
2. B.
   $\alpha$-1,6
3. C.
   $\beta$-1,6
4. D.
   $\alpha$-1,4

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1. A.
   Zero kJ
2. B.
   20 kJ
3. C.
   100 kJ
4. D.
   150 kJ

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

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1. A.
   $\text{C}_6\text{H}_5\text{-CH}_2\text{-X}$
2. B.
   $\text{C}_6\text{H}_5\text{-X}$
3. C.
   $\text{C}_6\text{H}_5\text{-CH=CH-X}$
4. D.
   $\text{C}_6\text{H}_5\text{-CH}_2\text{-CH}_2\text{-X}$

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1. A.
   Mg
2. B.
   Ni
3. C.
   O
4. D.
   Cu

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1. A.
   $2\lambda_{A^{3+}}^0+3\lambda_{B^{2-}}^0$
2. B.
   $3\lambda_{A^{3+}}^0+2\lambda_{B^{2-}}^0$
3. C.
   $2\lambda_{A^+}^0+\lambda_{B^-}^0$
4. D.
   $\lambda_{A^{3+}}^0+3\lambda_{B^{2-}}^0$

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1. A.
   Ethanol
2. B.
   Propan-1-ol
3. C.
   Propan-2-ol
4. D.
   Butan-1-ol

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

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1. A.
   $\text{RCOCl}\xrightarrow{\text{H}_2/\text{Pd-BaSO}_4}\text{R-CHO+HCl}$
2. B.
   $\text{RCN}\xrightarrow{\text{SnCl}_2,\text{HCl/H}_3\text{O}^+}\text{RCHO+NH}_4\text{Cl}$
3. C.
   $\text{RCHO}\xrightarrow{\text{Zn-Hg/conc.HCl}}\text{R-CH}_2+\text{H}_2\text{O}$
4. D.
   $\text{RCOR'}\xrightarrow{(i)\text{H}_2\text{N-NH}_2,(ii)\text{KOH,HOCH}_2\text{CH}_2\text{OH}}\text{R-CH}_2\text{-R'}+\text{N}_2$

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1. A.
   $\text{Zn}>\text{Fe}>\text{Cr}>\text{Sc}$
2. B.
   $\text{Cr}>\text{Fe}>\text{Zn}>\text{Sc}$
3. C.
   $\text{Sc}>\text{Fe}>\text{Cr}>\text{Zn}$
4. D.
   $\text{Cr}>\text{Zn}>\text{Sc}>\text{Fe}$

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1. A.
   At
2. B.
   Po
3. C.
   Se
4. D.
   Te

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1. A.
   Radio waves
2. B.
   Microwaves
3. C.
   Infrared
4. D.
   Ultraviolet

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1. A.
   $\text{CuCl}_2$
2. B.
   $\text{NH}_4\text{CN}$
3. C.
   $\text{KCN}$
4. D.
   $\text{CH}_3\text{COONa}$

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1. A.
   3.2 m
2. B.
   2.0 m
3. C.
   2.6 m
4. D.
   3.8 m

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1. A.
   $\text{CH}_3\text{CH}$
2. B.
   $\text{CH}_3\text{OC}_2\text{H}_5$
3. C.
   $\text{CH}_3\text{ONa}$
4. D.
   $\text{CH}_3\text{CH}_2\text{NH}_2$

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1. A.
   310 J
2. B.
   $-90\ \text{J}$
3. C.
   $-210\ \text{J}$
4. D.
   190 J

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1. A.
   $-\text{OH}$ is considered as principal functional group.
2. B.
   Molecular formula of this compound is $\text{C}_4\text{H}_9\text{O}_2$.
3. C.
   $-\text{OH}$ is attached with sp$^2$ hybrid carbon.
4. D.
   IUPAC name of this compound is 2-hydroxypentan-3-one.

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1. A.
   Acetophenone
2. B.
   Butanone
3. C.
   Benzophenone
4. D.
   Pentan-2-one

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1. A.
   8
2. B.
   10
3. C.
   14
4. D.
   24

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1. A.
   Boiling point and heat capacity
2. B.
   Heat capacity and boiling point.
3. C.
   Internal energy and pressure
4. D.
   Heat capacity and surface tension.

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1. A.
   225.04 pm
2. B.
   194.85 pm
3. C.
   159.08 pm
4. D.
   90.05 pm

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1. A.
   12 g
2. B.
   4.8 g
3. C.
   6 g
4. D.
   2.4 g

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1. A.
   Methane and water
2. B.
   Methyl alcohol
3. C.
   Acetaldehyde
4. D.
   Ethylene oxide

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1. A.
   $\text{C}_3\text{H}_8$
2. B.
   $\text{C}_4\text{H}_{10}$
3. C.
   $\text{C}_5\text{H}_{12}$
4. D.
   $\text{C}_6\text{H}_{14}$

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1. A.
   High density polythene
2. B.
   Low density polythene
3. C.
   Bakelite
4. D.
   Melamine

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1. A.
   $4.8\ \text{mol}^{-2}\text{dm}^6\text{s}^{-1}$
2. B.
   $9.6\ \text{mol}^{-2}\text{dm}^6\text{s}^{-1}$
3. C.
   $12.1\ \text{mol}^{-2}\text{dm}^6\text{s}^{-1}$
4. D.
   $14.4\ \text{mol}^{-2}\text{dm}^6\text{s}^{-1}$