Question

The dimensional formula for RC is:

• A. $[ML^2T^{-3}A^{-2}]$
• B. $[M^1L^1T^{-1}A^0]$
• C. $[M^{-1}L^{-2}T^4A^2]$
• D. $[M^0L^0T^0A^1]$

Answer 1

The Correct Option is B

The time constant $RC$ is the product of resistance $R$ and capacitance $C$.
The dimensional formula for resistance $R$ is $[ML^2T^{-3}A^{-2}]$ and for capacitance $C$, it is $[M^{-1}L^{-2}T^4A^2]$.
Thus, the dimensional formula for $RC$ is:
$RC = [ML^2T^{-3}A^{-2}] \times [M^{-1}L^{-2}T^4A^2] = [M^0L^0T^1A^0]$
So, the correct answer is $[M^0L^0T^1A^0]$.