Question

The sun's angular diameter is measured to be 1920". The distance D of the sun from the earth is1.496×10×1000m .find the diameter of the sun.

Answer 1

Answer:

The angular diameter of sun = alpha = 1920"

The distance of sun from Earth = D = 1.496 * 10^(4)

We need to find, the diameter of sun.

We know that, alpha = d/D

Firstly, converting the angular diameter of sun in radians.

Given, 1920" = 4.58 * 10^(-6) * 1920

Hence, 8793.6 * 10^(-6) rad

Now, we need to find the diameter.

Hence, d = alpha * D

So, d = (8793.6 * 10^(-6) rad) * (1.496 * 10^(4))

d = 13,155.2256 * 10^(-2) m