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Question

The angular diameter of the sun is 1920". If the distance of the sun from the earth is 1.5×1011m, then the linear diameter of the sun is :

A
2.6×109 m
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B
0.7×109 m
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C
5.2×109 m
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D
1.4×109 m
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Solution

The correct option is B 1.4×109 m
Angular diameter θ=1920′′=192060=32
We know that 1=160o=160×π180 rad
θ=32×π60×180=0.009 rad
Distance between sun and earth l=1.5×1011 m
Linear diameter d=lθ=1.5×1011×0.009=1.4×109 m

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