(3) 7R
(4) BR
Which graph best represents the variation of radius r of a circular orbit of a satellite against its time period T?
r (1) (2)
7 (3)
(4)
(2) 2
(4) 4
It of
30
Answers
Answer:
According to graph(attached in answer), option 4 is correct
Explanation:
In order to understand the question, first see the figure containing multiple graphs
Solution :
Consider a satellite of mass m revolving in a circular orbit around the Earth, which is located at the centre of its orbit. If the satellite is at a height h above the Earth's surface, the radius of its orbit r = Re + h, where Re is the radius of the Earth. Time period T of the satellite is the time taken to complete one revolution
T = 2Πr/v = 2Π(Re + h)√(Re+h)/GMe
v = √GMe/(Re+h)
=>T ={[2 π (R+h)^3] /GM}^1/2
=> T is directly propotional to
{R+h}^3/2. i.e r^3/2
=> T is propotional to r^3/2
=> T= kr^3/2
=> x= k y^3/2
Hence option 4 is correct.
Explanation:
hope this will help you ☺️
