Quantity X = frac{{{varepsilon _0}LV}}{t} : {varepsilon _0} is permittivity of free space, L is leng

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1.Units, Dimensions and Measurement

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The quantity $X = \frac{{{\varepsilon _0}LV}}{t}$: ${\varepsilon _0}$ is the permittivity of free space, $L$ is length, $V$ is potential difference and $t$ is time. The dimensions of $X$ are same as that of

A

Resistance

B

Charge

C

Voltage

D

Current

(IIT-2001)

Solution

(d) [${\varepsilon _0}L$] $= [C]$

$⇒$ $X = \frac{{{\varepsilon _0}LV}}{t} $ $= \frac{{C \times V}}{t} $ $= \frac{Q}{t}$= current

Standard 11

Physics

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