Physical World Units And Measurements Ques 33
33. If $C$ and $R$ denote capacitance and resistance, the dimensional formula of $CR$ is
[1988]
(a) $[M^{0} L^{0} T^{1}]$
(b) $[M^{0} L^{0} T^{0}]$
(c) $[M^{0} L^{0} T^{-1}]$
(d) not expressible in terms of $M,L,T.$
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Answer:
Correct Answer: 33.(a)
Solution:
- (a) $CR=(\frac{q}{V})(\frac{V}{i}) \Rightarrow(\frac{i \cdot t}{i}) \Rightarrow t=$ time $=[T]=[M^{0} L^{0} T^{1}]$
$RC$ is the time constant of the circuit.
BETA
