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A L-C resonant circuit contains a 200 pF...

A L-C resonant circuit contains a 200 pF capacitor and a `100 muG` inductor. It is set into oscillation coupled to an antenna. The wavelength of the radiated electromagnetic waves is

A

`272m`

B

`0.0272 m`

C

`377 cm`

D

`3.77 cm`

Text Solution

Verified by Experts

The correct Answer is:
B
Frequency of `L-C` oscilaltion is
`v = 1/(2pisqrt(LC)) = (1)/(2 xx 3.14sqrt(100 xx 10^(-6) xx 200 xx 10^(-22)))`
`= 1.26 xx 10^(6) Hz`
So, wavelength `lambda = (c)/(v) = (3 xx 10^(8))/(1.26 xx 10^(6)) = 266 m`
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Knowledge Check

  • An L-c resonant circuit contains a 200 pF capacitor and a 200muH inductor. It is into oscillation coupled to an antenna. The wavelength of the radiated electromagnetic waves is

    A
    `377 mm`
    B
    `377 m`
    C
    `377 cm`
    D
    `3.77 cm`

  • An L – C circuit contain a 400 pF capacitor and a 100muF inductor. It is set into oscillation coupled to an antenna. The wavelength of the radiated electromagnetic waves is :

    A
    377 mm
    B
    377 cm
    C
    `3.77 cm`
    D
    377 m

  • An LC resonant circuit a 400 pF capacitor and a 100 muH inductor. It is set into oscillation coupled to an antenna. The wavelength of the radiated electormagetic wave is

    A
    `377 mm`
    B
    `377 m`
    C
    `377 cm`
    D
    `3.77 cm`