Assertion: An electric lamp connected in series with a variable capacitor and `AC` source, its brightness increases with increases in capacitance.
Reason: Capacitive reactance decrease with increases in capacitance of capacitor.

Options

A. If both the assertion and reason are true and reason is a true explantion of the assertion.
B. If both the assertion and reason are true but the reason is not true the correct explantion of the assertion.
C. If the assertion is true but reason false
D. If both the assertion and reason are false.

Answer

A

Explanation

Capacitance reactance `X_(C)=1/(omegaC)`. When capacitance `(C)` increases, the capacitive reactance decreases. Due to decreases in its values, the current in the circuit will increases `(I=E/(sqrt(R^(2)+X_(C)^(2))))` and hence brightness of source (or electric lamp) will also increases.