General Physics Ques 5
- 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 a length, $\Delta V$ is a potential difference and $\Delta t$ is a time interval. The dimensional formula for $X$ is the same as that of
(2001, 2M)
(a) resistance
(b) charge
(c) voltage
(d) current
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Answer:
Correct Answer: 5.( d )
Solution:
- $C=\frac{\Delta q}{\Delta V}$ or $\varepsilon_0 \frac{A}{L}=\frac{\Delta q}{\Delta V}$ or $\varepsilon_0=\frac{(\Delta q) L}{A \cdot(\Delta V)}$
$ \begin{aligned} X =\varepsilon_0 L \frac{\Delta V}{\Delta t}=\frac{(\Delta q) L}{A(\Delta V)} L \frac{\Delta V}{\Delta t} \\ \text { but } {[A] } =\left[L^2\right] \\ \therefore X =\frac{\Delta q}{\Delta t}=\text { current } \end{aligned} $
BETA
