A transmitting station transmits radiowave of wavelength 360 m. What is the inductance of a coil required with a condenser of capacity 1.20 `mu`F in the resonant circuit to receive the radiowaves ? ( Use `pi^2`=10)

Options

A. `3.04 xx 10^(-8) H`
B. `2.04 xx 10^(-8) H`
C. `4.04 xx 10^(-8) H`
D. `6.04 xx 10^(-8) H`

Answer

A

Explanation

`lamda = 360 m, L = ? , C = 1.2 xx 10^(-6)F`
`v = c/lamda = (3 xx 10^8 ms^(-1))/(360 m) = 8.33 xx 10^5 Hz`
`v = (1)/(2pi sqrt(LC) ) " or " L = (1)/(4pi^2 v^2 xx C)`
` = (1)/(4 xx 22/7 xx 22/7 xx (8.33 xx 10^5)^2 xx 1.2 xx 10^(-6) )`
` L = 3.04 xx 10^(-8) H`