Question

The angular momentum of the earth revolving around the sun is proportional to rn, where r is the distance between the earth and the sun. The value of n is

Answer 1

Answer:

Explanation:

L=mvr ⇒ L=m×rω×r⇒ L=mr^2ω

Again,

ω=(GM/r^3)^1/2

Therefore,

L={m(GM)^1/2)} /{r}^1/2

Therefore,

n=1/2

Answer 2

Dear Student,

◆ Answer -

n = 1/2.

● Explanation -

Angular momentum of the earth revolving around the sun is given as -

L = mr²w

But we know, w = √(GM/r³)

L = mr² × (GM/r³)

L = m × r²/√r³ × √(GM)

L = m√(GMr)

L = m√(GM) × r^½

L ∝ r^½

Hence, value of n is 1/2.

Thanks dear. Hope this helps you...