Question

The distance of the Sun from earth is 1.5 × 10¹¹ m and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be ______.

Options

• 2.45 × 10¹⁰ m

• 1.45 × 10¹⁰ m

• 1.45 × 10⁹ m

• 0.14 × 10⁹ m

Answer 1

The distance of the Sun from earth is 1.5 × 10¹¹ m and its angular diameter is (2000) s when observed from the earth. The diameter of the Sun will be 1.45 × 10⁹ m.

Explanation:

We have

1s = `1/(3600°)`

So, 2000s = `(2000/3600)°= (2000/3600xxpi/180)`rad

as d = rθ = `1.5xx10^11xx 2000/3600xxpi/180`

= `(3000xx10^11xxpi)/(3600xx180)`

= 1.45 × 10⁹ m