Question

The maximum and minimum distances of a comet from the Sun are 1.6 × 10¹² m and 8.0 × 10¹⁰ m respectively. If the speed of the comet at the nearest point is 6 × 10⁴ ms^-1, the speed at the farthest point is ______.

विकल्प

• 1.5 × 10³ m/s

• 4.5 × 10³ m/s

• 3.0 × 10³ m/s

• 6.0 × 10³ m/s

Answer 1

The maximum and minimum distances of a comet from the Sun are 1.6 × 10¹² m and 8.0 × 10¹⁰ m respectively. If the speed of the comet at the nearest point is 6 × 10⁴ ms^-1, the speed at the farthest point is 3.0 × 10³ m/s.

Explanation:

r₂ = 1.6 × 10¹²m

r₁ =  8.0 × 10¹⁰ m 

v₁ = 6 × 10⁴ m/s

 

Apply conservation of angular momentum

mv₁r₁ = mv₂r₂

⇒ (6 × 10⁴) (8.0 × 10¹⁰) = V₂ (1.6 × 10¹²)

V₂ = 3 × 10³ m/s.