The sun's angular diameter is measured to be 1920''. The distance of the sun from the earth is `1.496xx10^(11)m.` What is the diameter of the sun?

Options

A. `1.39xx10^(9)m`
B. `1.39xx10^(10)m`
C. `1.39xx10^(11)m`
D. `1.39xx10^(12)`m

Answer

A

Explanation

Here,
Distance of the sun from the earth, `d=1.496xx10^(11)m`
sun's angular diameter `alpha=1920"`
`because1"=4.85xx10^(-6)rad`
`thereforealpha=1920xx4.85xx10^(-6)rad=9.31xx10^(-3)rad`
Sun's diamter, `D=alphad`
`D=(9.31xx10^(-3))(1.496xx10^(11))m=1.39xx10^(9)m`