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 :

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 : (A) 2.45 × 1010 m (B) 1.45 × 1010 m (C) 1.45 × 109 m (D) 0.14 × 109 m

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/cab3cf861119e7c25cd394a7a45b22da-.png" /> (2000/60 × 60) × (π/180)=( d /1.5 × 10 prime prime) ⇒ d =(2000/60 × 60) × (π/180) × 1.5 × 10 prime prime =(π × 1.5/3 × 6 × 18) × 10 prime prime=1.45 × 109

Q. The distance of the Sun from earth is $1.5 \times 1 0^{11} m$ and its angular diameter is $(2000) s$ when observed from the earth. The diameter of the Sun will be :

$2.45 \times 1 0^{10} m$

$1.45 \times 1 0^{10} m$

$1.45 \times 1 0^{9} m$

$0.14 \times 1 0^{9} m$

$\frac{2000}{60 \times 60} \times \frac{π}{180} = \frac{d}{1.5 \times 1 0 ^{''}}$
$\Rightarrow d = \frac{2000}{60 \times 60} \times \frac{π}{180} \times 1.5 \times 1 0^{''}$
$= \frac{π \times 1.5}{3 \times 6 \times 18} \times 1 0^{''} = 1.45 \times 1 0^{9}$

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

2.45×1010m

1.45×1010m

1.45×109m

0.14×109m