A spherical planet has no atmosphere and consists of pure gold. The minimum orbital period T × 1 0 3 sec for a satellite circling the planet. Take density of gold as 5 π × 1 0 3 kg / m 3 and G = 3 20

Question

A spherical planet has no atmosphere and consists of pure gold. The minimum orbital period T × 1 0 3 sec for a satellite circling the planet. Take density of gold as 5 π × 1 0 3 kg / m 3 and G = 3 20 ​ × 1 0 − 11 Nm 2 / kg 2 . Write the value of T.

TestHub · Accepted Answer

m ω 2 R = R 2 GMm ​ ​ ⇒ ω 2 = G R 3 M ​ × 3 4 ​ π 3 4 ​ π ​ ω 2 ( G = V M ​ × 3 4 ​ × π ) w 2 = Gρ × 3 4 ​ π & T = ω 2 π ​ ​

Question with Solution

Doubts & Discussion