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Question

moon is seen to be of (1/2)0diameter from the earth. what must be the relative size compared to the earth ?

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Solution

Using relation,
θ=lrhere,l=2Rmand r=60 ReSo,θ=2Rm60Realso given,θ=(12)0So, 2Rm60Re=(12)0=12×π180 rador RmRe=12×π180×602=π12=1142=1/4 (approx)So,Radius of moon is approximately 1/4 th the radius of earth.

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