A positively-charged object with a mass of 0.128 kg oscillates at the end of a spring, generating ELF (extremely low frequency) radio waves that have a wavelength of 6.61 × 107 m. The frequency of these radio waves is the same as the frequency at which the object oscillates. What is the spring constant of the spring?
Taking the speed of light as 3 x 10^8 m/s gives the frequency f as (3*10^8)/(6.61*10^7)
f= 4.538 Hz
So √(k/M) = 2πf
= 2*π*4.538= 28.51
giving k = (28.51*√M)²
k = (28.51*√0.128)^2
k= 104.09 N/m
where M is the mass and k the spring constant.
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