Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Let the period of revolution of a planet at a distance R from a star be T . prove that if it was at a distance of 2R from the star its period of revolution will be √8 T.

  1. Let the period of revolution of a planet at a distance R from a star be T . prove that if it was  at a distance of 2R from the star its period  of revolution will be √8 T.

Grade:10

1 Answers

Eshan
askIITians Faculty 2095 Points
2 years ago
Dear student,

From Kepler’s law of planetary motion,

T^2\propto R^3
Hence(\dfrac{T_2}{T_1})^2=(\dfrac{2R}{R})^3
\implies \dfrac{T_2}{T}=2^{3/2}=\sqrt{8}
\implies T_2=\sqrt{8}T

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free