Given that `C` denotes capacitance of a capacitor and `V` is the potential difference across its plates. Then the dimensions of `CV^(2)` are same as that of

Options

A. If both Assertion and Reason are true and the Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are true but Reason is not the correct explanation of Assertion
C. If Assertion is true but the Reason is false
D. If both Assertion and Reason are false

Answer

A

Explanation

Since `Q=CV,QV=CV^(2)`. The energy stored ina capacitgor is `1/2QV`or `1/2CV^(2)`. Thus the dimensions of `CV^(2)` or QV are the same as those of energy or work, that is `ML^(2)T^(-2)`. Also `CV^(2)=("Coulomb")/("Volt")xx("Volt")^(2)=` Colomb +Volt=joule, which is a unit of energy.