Find the resonating frequency of the circuit having negligible resistance and inductance of 0.15 H is connected in series with the capacitor of 2.5 `muF`.

Options

A. 250 Hz
B. 260 Hz
C. 240 Hz
D. None of these

Answer

B

Explanation

Given inductance, `L=0.15H`
capacitance, `C=2.5muF=2.5xx10^(-6)F`
Resonating frequency, `f=(1)/(2pisqrt(LC))`
`=(1)/(2xx3.14xxsqrt(0.15xx2.5xx10^(-6)))`
`=(1)/(2xx3.14xxsqrt(0.375xx10^(-6)))`
`f=(1)/(2xx3.14xx6.12xx10^(-4))=260hz`