1
WB JEE 2024
+1
-0.25

The Power $$(\mathrm{P})$$ radiated from an accelerated charged particle is given by $$\mathrm{P} \propto \frac{(q \mathrm{a})^{\mathrm{m}}}{\mathrm{c}^{\mathrm{n}}}$$ where $$\mathrm{q}$$ is the charge, $$\mathrm{a}$$ is the acceleration of the particle and $$\mathrm{c}$$ is speed of light in vacuum. From dimensional analysis, the value of $$m$$ and $$n$$ respectively, are

A
$$\mathrm{m=2, n=2}$$
B
$$\mathrm{m}=2, \mathrm{n}=3$$
C
$$\mathrm{m}=3, \mathrm{n}=2$$
D
$$\mathrm{m}=0, \mathrm{n}=1$$
2
WB JEE 2024
+1
-0.25

Which of the following quantity has the dimension of length ?

(h is Planck's constant, m is the mass of electron and c is the velocity of light)

A
$$\frac{\mathrm{hc}}{\mathrm{m}}$$
B
$$\frac{\mathrm{h}}{\mathrm{mc}^2}$$
C
$$\frac{\mathrm{h}^2}{\mathrm{mc}^2}$$
D
$$\frac{\mathrm{h}}{\mathrm{mc}}$$
3
WB JEE 2023
+1
-0.25

In an experiment, the length of an object is measured to be 6.50 cm. This measured value can be written as 0.0650 m. The number of significant figures on 0.0650 m is

A
3
B
4
C
2
D
5
4
WB JEE 2023
+2
-0.5

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
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