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प्रश्न
A transmitter consists of LC circuit with an inductance of 1 μH and a capacitance of 1 μF. What is the wavelength of the electromagnetic waves it emits?
उत्तर
Inductance of LC circuit, L = 1 μH = 1 × 10-6 H
Capacitance of LC circuit, C = 1 μF = 1 × 10-6 F
Wave length of the electromagnetic wave X = λ = `"C"/"f"`
Velocity of light C = 3 x 108 ms-1
Frequency of electromagnetic wave, f = `1/(2pi sqrt"LC")`
`= 1/(2 xx 3.14 sqrt(1 xx 10^-6 xx 10^-6))`
`= 1/(6.28 xx 10^-6)`
`=> "f" = 15.92 xx 10^4` Hz
Wave length λ = `"C"/"f" = (3 xx 10^8)/(15.92 xx 10^4)`
= 0.1884 × 104
λ = 18.84 × 102 m
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