Answer:
1.82 x 10⁶ Hz
164.84 m
Explanation:
L = Inductance of the inductor = 0.263 mH = 0.263 x 10⁻³ H
C = Capacitance of the capacitor = 29.1 x 10⁻¹² F
f = frequency of radio station
At resonance, we know that
[tex]2\pi fL = \frac{1}{2\pi fC}[/tex]
[tex]2(3.14)(0.263\times 10^{-3})f = \frac{1}{2(3.14)(29.1\times 10^{-12}) f}[/tex]
f = 1.82 x 10⁶ Hz
v = speed of radio wave = 3 x 10⁸ m/s
λ = wavelength of radio wave
Using the equation
v = f λ
3 x 10⁸ = (1.82 x 10⁶) λ
λ = 164.84 m