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Two opposite charged particles oscillate about their mean equilibrium position in free space with a frequency of 10⁹ Hz. The wavelength of the corresponding electromagnetic wave produced is ______.

Asked in GSEB Board July 2015; GSEB Board March 2018 · Wavelength, frequency and photon energy

Answer: (1) 0.3 m

Step-by-step solution

Given: u=10⁹ Hz, and the pair oscillates in free space, so c=3×10⁸ m s⁻¹.

Idea: an oscillating charge radiates at its own frequency of oscillation, and for any electromagnetic wave λ=c/u.

λ=(3×10⁸)/(10⁹)=0.3 m.

So the wave produced has a wavelength of 0.3 m, which puts it in the microwave region.

Why the other options are wrong

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