MHT-CET 2023 (2 May Shift 1), Paper II, Physics & Chemistry question paper

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

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

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1. A.
   OR gate
2. B.
   AND gate
3. C.
   NOR gate
4. D.
   NAND gate

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1. A.
   9:1
2. B.
   34:1
3. C.
   4:1
4. D.
   16:1

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

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

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1. A.
   $P - \frac{3}{4}\rho v^2$
2. B.
   $P - 2\rho v^2$
3. C.
   $P - 3\rho v^2$
4. D.
   $P - 4\rho v^2$

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1. A.
   $\frac{1}{100}$ s
2. B.
   $\frac{1}{200}$ s
3. C.
   $\frac{1}{300}$ s
4. D.
   $\frac{1}{400}$ s

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1. A.
   10 V
2. B.
   20 V
3. C.
   30 V
4. D.
   $-40$ V

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1. A.
   $\sqrt{\frac{k}{m} + \left(\frac{b}{2m}\right)^2}$
2. B.
   $\frac{k}{m} + \left(\frac{b}{2m}\right)^2$
3. C.
   $\sqrt{\frac{k}{m} - \left(\frac{b}{2m}\right)^2}$
4. D.
   $\frac{k}{m} - \left(\frac{b}{2m}\right)^2$

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1. A.
   10 mJ
2. B.
   5 mJ
3. C.
   $10\,\mu J$
4. D.
   $5\,\mu J$

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1. A.
   $\frac{mg}{2M+m}$
2. B.
   $\frac{Mg}{M+2m}$
3. C.
   $\frac{Mg}{2M+m}$
4. D.
   $\frac{mg}{M+2m}$

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1. A.
   8.48 Å
2. B.
   2.12 Å
3. C.
   4.77 Å
4. D.
   0.53 Å

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

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1. A.
   $\phi + \frac{\pi}{2}$
2. B.
   $\phi$
3. C.
   $\phi - \frac{\pi}{2}$
4. D.
   $(\phi + \pi)$

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

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1. A.
   $\frac{1}{2}B\pi F R^2$
2. B.
   $B\pi F R^2$
3. C.
   $\frac{1}{n}B\pi F R$
4. D.
   $B\pi FR^2 n$

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1. A.
   decreases
2. B.
   increases
3. C.
   remains same
4. D.
   sometimes increases and sometimes decreases

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1. A.
   $3\lambda$
2. B.
   $4\lambda$
3. C.
   $5\lambda$
4. D.
   $6\lambda$

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1. A.
   $\frac{2}{\mu_0 \pi^{1/2}} B A^{3/2}$
2. B.
   $\frac{B A^{3/2}}{\mu_0 \pi}$
3. C.
   $\frac{2 B A^{3/2}}{\mu_0 \pi^{1/2}}$
4. D.
   $\frac{B A^2}{\mu_0 \pi}$

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1. A.
   AB and BC
2. B.
   AB and CD
3. C.
   AD and BC
4. D.
   BC and CD

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1. A.
   $\frac{G^2}{S+G}$
2. B.
   $\frac{G}{S+G}$
3. C.
   $\frac{S^2}{G+S}$
4. D.
   $\frac{GS}{S+G}$

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1. A.
   $10^4$ W
2. B.
   10 W
3. C.
   2.5 W
4. D.
   5 W

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1. A.
   525 kg m$^2$
2. B.
   625 kg m$^2$
3. C.
   525 g cm$^2$
4. D.
   625 g cm$^2$

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1. A.
   168
2. B.
   204
3. C.
   336
4. D.
   530

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1. A.
   256 Hz
2. B.
   186 Hz
3. C.
   225 Hz
4. D.
   280 Hz

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1. A.
   $\frac{25E}{36}$
2. B.
   $\frac{36E}{25}$
3. C.
   $\frac{3E}{5}$
4. D.
   $\frac{5E}{3}$

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1. A.
   $1500\,d$
2. B.
   $\frac{373}{273} \times 1500\,d$
3. C.
   $\frac{273}{373} \times 1500\,d$
4. D.
   $\sqrt{\frac{373}{273}} \times 1500\,d$

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

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1. A.
   $(T+4.2)$ K
2. B.
   $(T-4.2)$ K
3. C.
   $(T+4)$ K
4. D.
   $(T-4)$ K

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1. A.
   there shall be alternative interference fringes of red and blue.
2. B.
   there shall be interference fringes for red distinct from that for blue.
3. C.
   there shall be no interference fringes.
4. D.
   there shall be interference fringes for red mixing with one for blue.

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1. A.
   $4 \times 10^{-5}$ m$^3$/s
2. B.
   $2 \times 10^{-5}$ m$^3$/s
3. C.
   $5 \times 10^{-5}$ m$^3$/s
4. D.
   $6 \times 10^{-5}$ m$^3$/s

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1. A.
   0.98, 49
2. B.
   49, 0.98
3. C.
   0.49, 98
4. D.
   98, 0.49

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1. A.
   165 Hz
2. B.
   150 Hz
3. C.
   660 Hz
4. D.
   330 Hz

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1. A.
   $8\pi^2$
2. B.
   $16\pi^2$
3. C.
   $24\pi^2$
4. D.
   $32\pi^2$

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1. A.
   40 kWb
2. B.
   140 kWb
3. C.
   240 kWb
4. D.
   280 kWb

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1. A.
   area under velocity–time graph.
2. B.
   area under distance–time graph.
3. C.
   slope of the velocity–time graph.
4. D.
   slope of the distance–time graph.

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1. A.
   $\mu_0$
2. B.
   $\frac{\mu_0}{2}$
3. C.
   $2\mu_0$
4. D.
   $\sqrt{2}\mu_0$

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1. A.
   straight line D
2. B.
   curve C
3. C.
   straight line B
4. D.
   curve A

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

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1. A.
   $\frac{R^2}{r_1 r_2}$
2. B.
   $\frac{R^3}{r_1 r_2^2}$
3. C.
   $\frac{R^3}{r_1^2 r_2}$
4. D.
   $\frac{R^4}{r_1^2 r_2^2}$

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

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1. A.
   $-24\pi a \epsilon_0 r$
2. B.
   $-6a\epsilon_0 r$
3. C.
   $-24\pi a\epsilon_0$
4. D.
   $-6a\epsilon_0$

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

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1. A.
   $-1$
2. B.
   $+1$
3. C.
   zero
4. D.
   $+2$

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

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1. A.
   greater magnification.
2. B.
   greater resolution.
3. C.
   reducing lens aberration.
4. D.
   ease of manufacture.

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

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1. A.
   three nodes and two antinodes.
2. B.
   three nodes and three antinodes.
3. C.
   four nodes and three antinodes.
4. D.
   three nodes and four antinodes.

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

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1. A.
   Li
2. B.
   Be
3. C.
   Cs
4. D.
   Mg

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

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1. A.
   Polyacrylonitrile
2. B.
   Nylon 6,6
3. C.
   Nylon 6
4. D.
   Terylene

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1. A.
   Sea water
2. B.
   Bronze
3. C.
   Carbonated water
4. D.
   Chloroform in nitrogen

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1. A.
   Cyclohexanol
2. B.
   Cyclohexanone
3. C.
   Benzoic acid
4. D.
   Adipic acid

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1. A.
   $E_{\text{cell}} = E^\circ_{\text{cell}} + 0.0592$ V
2. B.
   $E_{\text{cell}} = E^\circ_{\text{cell}} - 0.0592$ V
3. C.
   $E_{\text{cell}} = E^\circ_{\text{cell}} - 0.0296$ V
4. D.
   $E_{\text{cell}} = E^\circ_{\text{cell}} + 0.0296$ V

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1. A.
   Alkyl iodides
2. B.
   Alkyl bromides
3. C.
   Alkyl chlorides
4. D.
   Alkyl fluorides

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

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1. A.
   Oxidation of $\text{SO}_2$(g) in presence of $\text{NO}$(g).
2. B.
   Decomposition of aqueous $\text{H}_2\text{O}_2$ in presence of $\text{I}^-_{(\text{aq})}$.
3. C.
   Hydrolysis of sugar in presence of aq. $\text{H}_2\text{SO}_4$.
4. D.
   Hydrogenation of vegetable oil in presence of $\text{Ni}$(s).

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1. A.
   Phenol and formaldehyde
2. B.
   1,3-butadiene and styrene
3. C.
   Ethylene glycol and styrene
4. D.
   $\beta$-hydroxy butyric acid and phenol

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1. A.
   Internal energy
2. B.
   Viscosity
3. C.
   Surface tension
4. D.
   Specific heat

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

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1. A.
   28 hour
2. B.
   42 hour
3. C.
   56 hour
4. D.
   70 hour

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

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1. A.
   $\text{H}_2$
2. B.
   $\text{N}_2$
3. C.
   $\text{O}_2$
4. D.
   $\text{Cl}_2$

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1. A.
   $7.50 \times 10^{-23}$ cm$^3$
2. B.
   $6.75 \times 10^{-23}$ cm$^3$
3. C.
   $5.75 \times 10^{-23}$ cm$^3$
4. D.
   $8.25 \times 10^{-23}$ cm$^3$

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1. A.
   1.5
2. B.
   10.0
3. C.
   5.0
4. D.
   8.5

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1. A.
   tert-Butylamine
2. B.
   Ethyldimethylamine
3. C.
   Diethylamine
4. D.
   n-Butylamine

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1. A.
   Isobutylene and methanol
2. B.
   1-Methoxybutane
3. C.
   2-Methoxybutane
4. D.
   2-Methoxy-2-methylpropane

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1. A.
   $\text{Cl}_2$ gas is liberated at anode.
2. B.
   Na is deposited at cathode.
3. C.
   The decomposition of NaCl into Na(s) and $\text{Cl}_2$(g) is spontaneous.
4. D.
   Electrical energy is used to carry out the reaction.

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1. A.
   Sc
2. B.
   Cu
3. C.
   Ti
4. D.
   Zn

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1. A.
   –CHO
2. B.
   –OH
3. C.
   –NH$_2$
4. D.
   –C≡C–

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1. A.
   $2.78 \times 10^{-8}$ cm
2. B.
   $3.21 \times 10^{-8}$ cm
3. C.
   $3.93 \times 10^{-8}$ cm
4. D.
   $6.95 \times 10^{-8}$ cm

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1. A.
   UV-visible spectroscopy
2. B.
   X-ray diffraction
3. C.
   Scanning electron microscopy
4. D.
   Transmission electron microscopy

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1. A.
   6.0
2. B.
   4.83
3. C.
   10.42
4. D.
   7.81

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1. A.
   $-225$ J
2. B.
   $-985$ J
3. C.
   $+225$ J
4. D.
   $+985$ J

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1. A.
   Cellulose is constituent of cell wall in animal cells.
2. B.
   Starch is common constituent of food grains.
3. C.
   Lactose is constituent of milk.
4. D.
   Animals store polysaccharides in their body in the form of glycogen.

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1. A.
   $0.025\,\Omega^{-1}\text{cm}^{-1}$
2. B.
   $0.035\,\Omega^{-1}\text{cm}^{-1}$
3. C.
   $0.011\,\Omega^{-1}\text{cm}^{-1}$
4. D.
   $0.029\,\Omega^{-1}\text{cm}^{-1}$

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

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1. A.
   Propane
2. B.
   Butane
3. C.
   Pentane
4. D.
   Hexane

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1. A.
   +5 and $-5$
2. B.
   5 and +5
3. C.
   $-5$ and +5
4. D.
   3 and +3

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1. A.
   0.3 mol kg$^{-1}$
2. B.
   0.4 mol kg$^{-1}$
3. C.
   0.5 mol kg$^{-1}$
4. D.
   0.6 mol kg$^{-1}$

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1. A.
   NH$_4$CN
2. B.
   NH$_4$Cl
3. C.
   NH$_4$NO$_3$
4. D.
   NaNO$_3$

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1. A.
   Alcohols
2. B.
   Aldehydes
3. C.
   Carboxylic acids
4. D.
   Esters

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1. A.
   0.01 mol dm$^{-3}$ s$^{-1}$
2. B.
   0.02 mol dm$^{-3}$ s$^{-1}$
3. C.
   0.03 mol dm$^{-3}$ s$^{-1}$
4. D.
   0.04 mol dm$^{-3}$ s$^{-1}$

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1. A.
   Pentaammineaquacobalt(III) chloride
2. B.
   Triamminetrithiocyanatorhodium(III)
3. C.
   Bis(ethylenediamine)dithiocyanatoplatinum(IV)
4. D.
   Triamminetrinitrocobalt(III)

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

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1. A.
   Dimethyl cadmium
2. B.
   Propanone
3. C.
   Butanone
4. D.
   Propanal

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1. A.
   by increasing temperature
2. B.
   by increasing [NO]
3. C.
   by increasing Cl$_2$
4. D.
   by increasing both [NO] and Cl$_2$

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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.
   $-0.436 \times 10^{-18}$ J
2. B.
   $-0.545 \times 10^{-18}$ J
3. C.
   $-0.242 \times 10^{-18}$ J
4. D.
   $-0.136 \times 10^{-18}$ J

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

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1. A.
   Ne
2. B.
   O$^{2-}$
3. C.
   Na
4. D.
   Na$^+$