If the inductance and capacitance are both doubled in L-C-R circuit, the reonant frequency of the circuit will.

Options

A. decrease to one-half the original value
B. decrease to one-fourth the original value
C. increase to twice the original value
D. decrease to twice the original value

Answer

A

Explanation

The resonant frequency
`v_(0)=(1)/(2pisqrt(LC)) implies v_(0)prop(1)/(sqrt(LC))`
If conductance and capacitance both are doubled, then
`v_(0)=(1)/(2)((1)/(2pi)sqrt(LC))`
So, the resonant frequency will decrease to one-half of the original value.