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1.Units, Dimensions and Measurement
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If $C$ and $R$ represent capacitance and resistance respectively, then the dimensions of $RC$ are
A$\left[M L^0 T A^{-2}\right]$
B$\left[M^0 L^0 T A^0\right]$
C$\left[M^0 L^0 T^{-1}\right]$
Dnot expressible in terms of $M, L$ and $T$
(AIPMT-1988)
Solution
(b) $RC = T$
$\because [R] = [M{L^2}{T^{ – 3}}{I^{ – 2}}]$ and
$[C] = [{M^{ – 1}}{L^{ – 2}}{T^4}{I^2}]$
$\because [R] = [M{L^2}{T^{ – 3}}{I^{ – 2}}]$ and
$[C] = [{M^{ – 1}}{L^{ – 2}}{T^4}{I^2}]$
Standard 11
Physics
