1
WB JEE 2023
MCQ (Single Correct Answer)
+2
-0.5
Change Language

An amount of charge Q passes through a coil of resistance R. If the current in the coil decreases to zero at a uniform rate during time T, then the amount of heat generated in the coil will be,

A
$$\frac{4 Q^{2} \mathrm{R}}{3 \mathrm{~T}}$$
B
$$\frac{2 \mathrm{QR}}{3 \mathrm{~T}}$$
C
$$\frac{\mathrm{Q}^{2} \mathrm{~T}}{4 \mathrm{R}}$$
D
$$\mathrm{Q}^{2} \mathrm{RT}$$
2
WB JEE 2023
MCQ (Single Correct Answer)
+2
-0.5
Change Language

A modified gravitational potential is given by $$\mathrm{V}=-\frac{\mathrm{GM}}{\mathrm{r}}+\frac{\mathrm{A}}{\mathrm{r}^{2}}$$. If the constant A is expressed in terms of gravitational constant (G), mass (M) and velocity of light (c), then from dimensional analysis, A is,

A
$$\frac{G^{2} M^{2}}{c^{2}}$$
B
$$\frac{\mathrm{GM}}{\mathrm{c}^{2}}$$
C
$$\frac{1}{c^{2}}$$
D
Dimensionless
3
WB JEE 2023
MCQ (Single Correct Answer)
+2
-0.5
Change Language

There are n elastic balls placed on a smooth horizontal plane. The masses of the balls are $$\mathrm{m}, \frac{\mathrm{m}}{2}, \frac{\mathrm{m}}{2^{2}}, \ldots \frac{\mathrm{m}}{2^{\mathrm{n}-1}}$$ respectively. If the first ball hits the second ball with velocity $$\mathrm{v}_{0}$$, then the velocity of the $$\mathrm{n}^{\text {th }}$$ ball will be,

A
$$\frac{4}{3} v_{0}$$
B
$$\left(\frac{4}{3}\right)^{n} v_{0}$$
C
$$\left(\frac{4}{3}\right)^{n-1} v_{0}$$
D
$$\mathrm{v}_{0}$$
4
WB JEE 2023
MCQ (Single Correct Answer)
+2
-0.5
Change Language

An earth's satellite near the surface of the earth takes about 90 min per revolution. A satellite orbiting the moon also takes about $$90 \mathrm{~min}$$ per revolution. Then which of the following is true?

[where $$\rho_{\mathrm{m}}$$ is density of the moon and $$\rho_{\mathrm{e}}$$ is density of the earth.]

A
$$\rho_{\mathrm{m}}<\rho_{\mathrm{e}}$$
B
$$\rho_{m}>\rho_{e}$$
C
$$\rho_{m}=\rho_{e}$$
D
No conclusion can be made about the densities.
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