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Estimate the ratio of shortest wave length of radio waves to the longest wave length of gamma waves.

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Question

Estimate the ratio of shortest wave length of radio waves to the longest wave length of gamma waves.

Very Short Answer
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Solution

Radio waves:

Shortest wavelength `(lambda_("radio", "min"))` ≈ 1 mm = 10−3 m

Gamma rays:

Longest wavelength `(lambda_("gamma", "max"))` ≈ 10−10 m

Ratio = `(lambda_("radio", "min"))/(lambda_("gamma", "max"))`

= `(10^-3 m)/(10^-10 m)`

= 107

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