1
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25
Change Language

A quantity $X$ is given by $\varepsilon_0 L \frac{\Delta V}{\Delta t}$, where $\varepsilon_0$ is the permittivity of free space, $L$ is the length, $\Delta V$ is a potential difference and $\Delta t$ is a time interval. The dimension of $X$ is same as that of

A
Resistance
B
Charge
C
Voltage
D
Current
2
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25
Change Language

The resistance $\mathrm{R}=\frac{\mathrm{V}}{\mathrm{I}}$ where $\mathrm{V}=(25 \pm 0.4)$ Volt and $\mathrm{I}=(200 \pm 3)$ Ampere. The percentage error in ' $R$ ' is

A
$1.5 \%$
B
$1.6 \%$
C
$3.1 \%$
D
$0.1 \%$
3
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

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
$$\mathrm{m}=0, \mathrm{n}=1$$
4
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

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
$$\frac{\mathrm{h}}{\mathrm{mc}}$$
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