JEE PHYSICS UNIT 06
QUIZ NO 1
TOTAL QUESTIONS = 20
1. The gravitational potential energy of a system of two particles of masses m₁ and m₂ separated by a distance r is
A. Gm₁m₂/r²
B. -Gm₁m₂/r²
C. Gm₁m₂/r
D. -Gm₁m₂/r
2. The escape velocity of a body from the surface of a planet depends on
A. Radius of the planet only
B. Mass of the planet only
C. Mass and radius of the planet
D. Density of the planet only
3. The orbital speed of a satellite close to the Earth’s surface is approximately
A. 11.2 km/s
B. 8 km/s
C. 7 km/s
D. 5 km/s
4. The time period of a satellite orbiting close to the Earth’s surface is
A. 24 hours
B. 90 minutes
C. 12 hours
D. 1 hour
5. The acceleration due to gravity at the surface of a planet is g. At a height equal to the radius of the planet, the acceleration due to gravity will be
A. g/4
B. g/2
C. g/3
D. g/9
6. The value of g at the surface of Earth decreases due to
A. Centrifugal force
B. Coriolis force
C. Magnetic force
D. Tidal force
7. The variation of g with depth d below the surface of Earth is proportional to
A. d
B. 1/d
C. R-d
D. d/R
8. The ratio of escape velocity to orbital velocity at the surface of the Earth is
A. √2
B. 2
C. 1/√2
D. 1/2
9. The total energy of a satellite in a stable orbit is always
A. Positive
B. Negative
C. Zero
D. Depends on orbit
10. The binding energy of a satellite of mass m in a circular orbit of radius r around a planet of mass M is given by
A. GmM/2r
B. -GmM/2r
C. -GmM/r
D. GmM/r
11. Two satellites are orbiting the Earth in circular orbits of radii r and 2r. The ratio of their orbital speeds is
A. 1:√2
B. √2:1
C. 1:2
D. 2:1
12. The gravitational potential at a point on the surface of a planet of mass M and radius R is given by
A. -GM/R
B. GM/R
C. -GMR
D. GMR
13. If the Earth’s radius were to shrink to half its current value, keeping the mass the same, the acceleration due to gravity on the surface would
A. Double
B. Remain the same
C. Be halved
D. Be quadrupled
14. Kepler's second law of planetary motion is a consequence of
A. Conservation of linear momentum
B. Conservation of angular momentum
C. Conservation of energy
D. Conservation of gravitational potential
15. If the gravitational force between two objects were to disappear, their relative motion would be
A. Uniform circular motion
B. Straight-line motion
C. Parabolic motion
D. None of these
16. A satellite in a circular orbit of radius r around Earth has a time period T. The time period of a satellite orbiting at radius 2r will be
A. T/√2
B. T√2
C. 2T
D. T√8
17. The gravitational force between two point masses is
A. Proportional to the product of their masses and inversely proportional to the square of the distance between them
B. Inversely proportional to the product of their masses and proportional to the square of the distance between them
C. Proportional to the sum of their masses and inversely proportional to the square of the distance between them
D. Proportional to the product of their masses and directly proportional to the distance between them
18. The work done in moving a mass m from a point at infinity to a point at distance r from a mass M is
A. GmM/r²
B. GmM/r
C. -GmM/r²
D. -GmM/r
19. The gravitational potential energy of a body of mass m at a height h from the surface of the Earth is approximately
A. mgh
B. mg(h+R)
C. -GMm/(R+h)
D. -GMm/h
20. Two planets have masses M₁ and M₂ and radii R₁ and R₂ respectively. The ratio of escape velocities from their surfaces is
A. (M₁R₂/M₂R₁)
B. (M₁/M₂) × √(R₁/R₂)
C. √(M₁R₁/M₂R₂)
D. (R₁/R₂) × √(M₁/M₂)
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