1
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+1
-0

Surface density of charge on a charged conducting sphere of radius $$R$$ in terms of electric field intensity $$E$$ at a distance $$r$$ in free space is ($$r>R, \varepsilon_0=$$ permittivity of free space)

A
$$\varepsilon_0 E\left(\frac{R}{r}\right)^2$$
B
$$\varepsilon_0 E \frac{R}{r}$$
C
$$\varepsilon_0 E\left(\frac{r}{R}\right)^2$$
D
$$\varepsilon_0 E \frac{r}{R}$$
2
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+1
-0

A body is thrown from the surface of the earth velocity $$\mathrm{v} / \mathrm{s}$$. The maximum height above the earth's surface upto which it will reach is ($$R=$$ radius of earth, $$g=$$ acceleration due to gravity)

A
$$\frac{v R}{2 g R-v}$$
B
$$\frac{2 g A}{v^2(R-1)}$$
C
$$\frac{v R^2}{g R-v}$$
D
$$\frac{v^2 R}{2 g R-v^2}$$
3
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+1
-0

Using Bohr's quantisation condition, what is the rotational energy in the second orbit for a diatomic molecule? ($$I=$$ moment of inertia of diatomic molecule and, $$h=$$ Planck's constant)

A
$$\frac{h}{2 I \pi^2}$$
B
$$\frac{h^2}{2 I \pi^2}$$
C
$$\frac{h^2}{2 I^2 \pi^2}$$
D
$$\frac{h}{2 I^2 \pi}$$
4
MHT CET 2020 16th October Morning Shift
MCQ (Single Correct Answer)
+1
-0

A monoatomic gas of pressure $$p$$ having volume $$V$$ expands isothermally to a volume $$2V$$ and then adiabatically to a volume $$16 \mathrm{~V}$$. The final pressure of the gas is (ratio of specific heats $$=\frac{5}{3}$$

A
$$\frac{p}{8}$$
B
$$\frac{p}{16}$$
C
$$\frac{p}{64}$$
D
$$\frac{p}{32}$$
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