A transmitter transmits at a wavelength of `300 m`. A condenser of capacitance `2.4 muF` is being used. The value of the inductance for the resonant circuit is approximately

Options

A. `10^(-4) H`
B. `10^(-6) H`
C. `10^(-8) H`
D. `10^(-10)H`

Answer

C

Explanation

`lambda = 300 m`
`f = (C)/(lambda) = ( 3 xx 10^(8))/(300) = 10^(6) `Hz
Now, ` f = (1)/( 2 pi sqrt(LC))`
`rArr LC = (1)/( 4 pi ^(2) xx f^(2))`
`rArr L = (1)/( 4 pi ^(2) xx (10^(6))^(2) xx 2.4 xx 10^(-6))`
`L = 10^(-8)` H [approx]