Motion of a Satellite ( Orbital Velocity, Time Period and Energy of Satellite ) NEET Questions

Motion of a Satellite ( Orbital Velocity, Time Period and Energy of Satellite ) MCQ Questions

7.
The total energy of a satellite in a circular orbit is:

NEET - 2018

A.
Equal to its kinetic energy
B.
Equal to its potential energy
C.
Negative and half of its potential energy
D.
Zero
ANSWER :
C. Negative and half of its potential energy
8.
The orbital velocity of a satellite is independent of which of the following?
A.
Height of the satellite above Earth's surface
B.
Mass of the Earth
C.
Mass of the satellite
D.
Radius of the Earth
ANSWER :
C. Mass of the satellite
9.
Two satellites S₁ and Sβ‚‚ orbit Earth at heights h₁ and hβ‚‚ respectively where h₁ < hβ‚‚. Which of the following is true?
A.
V₁ < Vβ‚‚ and T₁ > Tβ‚‚
B.
V₁ > Vβ‚‚ and T₁ < Tβ‚‚
C.
V₁ > Vβ‚‚ and T₁ > Tβ‚‚
D.
V₁ < Vβ‚‚ and T₁ < Tβ‚‚
ANSWER :
B. V₁ > Vβ‚‚ and T₁ < Tβ‚‚
10.
The time period of a satellite in circular orbit of radius (R_E + h) around Earth is given by NCERT Eq. 7.37 as:
A.
T = 2Ο€(R_E+h)/√(GM_E)
B.
T = 2Ο€(R_E+h)^(3/2)/√(GM_E)
C.
T = 2Ο€βˆš(R_E+h)/GM_E
D.
T = (R_E+h)^(3/2)/√(GM_E)
ANSWER :
B. T = 2Ο€(R_E+h)^(3/2)/√(GM_E)
11.
For a satellite very close to Earth's surface (h << R_E), the time period Tβ‚€ is:
A.
Tβ‚€ = 2Ο€βˆš(R_EΒ²/g)
B.
Tβ‚€ = 2Ο€βˆš(R_E/g)
C.
Tβ‚€ = 2Ο€R_E/g
D.
Tβ‚€ = √(2Ο€R_E/g)
ANSWER :
B. Tβ‚€ = 2Ο€βˆš(R_E/g)
12.
A satellite is projected vertically upwards from Earth's surface with a velocity equal to the orbital velocity. The maximum height reached is:

NEET - 2017

A.
Equal to Earth's radius
B.
Half of Earth's radius
C.
Double Earth's radius
D.
One-fourth of Earth's radius
ANSWER :
A. Equal to Earth's radius