Class 11 NEET Physics Gravitation Questions

The satellite of mass m is moving in a circular orbit of radius r.
∴ Kinetic energy of the satellite, K=

GMm

2r

.....(i)
Potential energy of the satellite, U=

−GMm

r

....(ii)
Orbital speed of satellite, v=√

GM

r

....(iii)
Time-period of satellite,
T=[(

4π2

GM

)r3t]

1

2

.....(iv)
Given mS1=4mS2
since M,r is same for both the satellites S1 and S2
∴ From equation (ii), we get U∝m
∴

US1

US2

=

mS1

mS2

=4 or, US1=4US2
Option (a) is wrong.
From (iii), since v is independent of the mass of a satellite, the orbital speed is same for both satellites S1 and S2
Hence option (b) is correct.
From (i), we get K∝m
∴

KS1

KS2

=

mS1

mS2

=4 or, KS1=4KS2
Hence option (c) is wrong.
From (iv), since T is independent of the mass of a satellite, time period is same for both the satellites S1 and S2. Hence option(d) is wrong.