1
WB JEE 2024
MCQ (Single Correct Answer)
+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
$$\frac{\mathrm{h}}{\mathrm{mc}}$$
2
WB JEE 2023
MCQ (Single Correct Answer)
+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
3
WB JEE 2023
MCQ (Single Correct Answer)
+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
4
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25

Given : The percentage error in the measurements of A, B, C and D are respectively, 4%, 2%, 3% and 1%. The relative error in $$Z = {{{A^4}{B^{{1 \over 3}}}} \over {C{D^{{3 \over 2}}}}}$$ is

A
$${{127} \over 2}\%$$
B
$${{127} \over 5}\%$$
C
$${{127} \over 6}\%$$
D
$${{127} \over 7}\%$$
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