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A coil of inductance 0.4 mH is connected...

A coil of inductance 0.4 mH is connected to a capacitor of capacitance 400 pF. To what wavelength is this circuit tuned ?

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L = 0.4 mH `= 0.4 xx 10^(-3) H,C = 400 pf = 4xx 10^(-10) F`
`f=(1)/(2pisqrt(LC))=(1)/(2xx3.14)xx(1)/(sqrt(0.4xx10^(-3)xx4xx10^(-10)))`
`= (10^(7))/(6.28xx4)` Hz
lf the speed of electromagnetic wave is v, then
`lambda=(V)/(f)=(3xx10^(8)"ms"^(-1))/((10^(7))/(6.28xx4 "Hz"))= 753.6 m`
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