Question

21. Two satellites have periods P1 and P2,
respectively. Their heights above the surface of the
earth are h1 and h2, respectively. If h1 > h2, then...
A. P1 > P2
B. P1 = P2
C.P1 < P2
D. P12 > P22​

Answer 1

Answer:

Answer

Correct option is

C

S

1

and S

2

are moving with the same speeds.

Orbital velocity of satellite, v=

R

GM

where, M is the mass of planet and R is the radius of orbit

Thus, orbital velocity is independent of mass of satellite.

⟹ S

1

and S

2

are moving with same speed.

Potential energy of satellite, U=

R

−GMm

Thus, potential energy of satellite depends on the mass of satellite and hence both will have different potential energies.

Kinetic energy of satellite, K.E=

2R

GMm

Thus, potential energy of satellite depends on the mass of satellite and hence both will have different kinetic energies.

Time period, T=

R

3

GM

Thus, time period of satellite is also independent of mass of satellite.

⟹ S

1

and S

2

have same time period.

Explanation:

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