Question

Consider two satellites S₁ and S₂ with periods of revolution 1 hr, and 8 hr, respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite S₁ to the angular velocity of satellite S₂ is ______.

विकल्प

• 8 : 1

• 1 : 8

• 2 : 1

• 1 : 4

Answer 1

Consider two satellites S₁ and S₂ with periods of revolution 1 hr, and 8 hr, respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite S₁ to the angular velocity of satellite S₂ is 8 : 1.

Explanation:

Let time period of revolu ti.ons are T₁ = 1 hr and T₂ = 8 hr

Since, T ∝ `1/omega`

⇒ `omega_1/omega_2 = "T"_2/"T"_1 = 8/1`