The distance of the Sun from earth is 1 . 5 × 10 ^ 11 m and its...

The distance of the Sun from earth is

1 . 5 \times {10}^{11}m

and its angular diameter is

2000 ''

when observed from the earth. The diameter of the Sun will be

Options

A $2 . 45 \times {10}^{10}m$
B $1 . 45 \times {10}^{10}m$
C $1 . 45 \times {10}^{9}m$
D $0 . 14 \times {10}^{9}m$

Correct answer

C. $1 . 45 \times {10}^{9}m$

Step-by-step solution

Diameter of Sun is $D = r\theta$

$\begin{array}{ll}= 1.5 \times {10}^{11} \times ( 2000 ) \times \left(\dfrac{1}{3600}\right) \times \left(\dfrac{\pi}{180}\right) \\ = 1.45 \times {10}^{9}m\end{array}$

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