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Question 1 of 31
1. Question
If the density of earth is doubled keeping its radius constant then acceleration due to gravity will be (g=9.8 m/s²)
CorrectIncorrectHint
Recollect g=GM/R² and density is nothing but mass / volume

Question 2 of 31
2. Question
A satellite is launched into a circular orbit of radius R around earth while a second satellite is launched into an orbit of radius 1.02 R. The percentage difference in the time periods of the two satellites is
CorrectIncorrect 
Question 3 of 31
3. Question
The acceleration due to gravity near the surface of a planet of radius R and density d is proportional to
CorrectIncorrect 
Question 4 of 31
4. Question
The ratio of radii of planets A and B is K₁ and ratio of accelerations due to gravity on them is K₂. The ratio of escape velocities from them will be
CorrectIncorrect 
Question 5 of 31
5. Question
Two planets at mean distances d₁ and d₂ from the sun have their frequencies n₁ and n₂ respectively. Then
CorrectIncorrect 
Question 6 of 31
6. Question
The kinetic energy needed to project a body of mass m from the surface of earth (radius R) to infinity is
CorrectIncorrect 
Question 7 of 31
7. Question
Two satellites of earth, S₁ and S₂ are moving in the same orbit. The mass of S₁ is four times the mass of S₂. Which one of the following statements is true?
CorrectIncorrect 
Question 8 of 31
8. Question
The radii of circular orbits of two satellites A and B of the earth, are 4R and R respectively. If the speed of satellite A is 3 V, then the speed of satellite B will be
CorrectIncorrect 
Question 9 of 31
9. Question
A particle of mass M is suited at the centre of a spherical shell of same mass and radius a. The gravitational potential at a point situated at a/2 distance from the centre, will be:
CorrectIncorrect 
Question 10 of 31
10. Question
Two spheres of mass m and M are situated in air and the gravitational force between them is F. The space around the masses is now filled with a liquid of specific gravity 3. The gravitational force will be
CorrectIncorrect 
Question 11 of 31
11. Question
A planet moving along an elliptical orbit is closest to the sun at a distance of r₁ and farthest away at a distance of r₂. If v₁ and v₂ are the linear velocities at these points respectively then the ratio v₁ / v₂ is
CorrectIncorrect 
Question 12 of 31
12. Question
A particle of masses m is thrown upwards from the surface of the earth, with a velocity u. The mass and the radius of the earth are, respectively, M and R. G is gravitational constant and g is acceleration due to gravity on the surface of the earth. The minimum value of u so that the particle does not return back to earth, is
CorrectIncorrect 
Question 13 of 31
13. Question
Weight of a body of mass m decreases by 1% when it is raised to height h above the earth’s surface. If the body is taken to a depth h in a mine, change in its weight is
CorrectIncorrect 
Question 14 of 31
14. Question
The depth at which the effective value of acceleration due to gravity is g/4 is (R=Radius of earth)
CorrectIncorrect 
Question 15 of 31
15. Question
The height at which the weight of a body becomes 1/16 th, its weight on the surface of earth (radius R), is
CorrectIncorrect 
Question 16 of 31
16. Question
A spherical planet has a mass Mp and diameter Dp. A particle of mass m falling freely near the surface of this planet will experience an acceleration due to gravity, equal to

4GMp / (Dp)²

GMp / (Dp)²

GMp / (Dp)²

4GMpm / (Dp)²
CorrectIncorrect 

Question 17 of 31
17. Question
A geostationary satellite is orbiting the earth at a height of 5 R above that surface of the earth, R being the radius of the earth. The time period of another satellite in hours at a height of 2 R from the surface of the earth is:
CorrectIncorrect 
Question 18 of 31
18. Question
If vₑ is escape velocity and v₀ is orbital velocity of a satellite for orbit close to the earth’s surface, then these are related by:
CorrectIncorrect 
Question 19 of 31
19. Question
The radius of a planet is twice the radius of earth. Both have almost equal average mass densities. If Vp and Ve are escape velocities of the planet and the earth, respectively, then,
CorrectIncorrect 
Question 20 of 31
20. Question
A particle of mass ‘m’ is kept at rest at a height 3 R from the surface of earth, where ‘R’ is radius of earth and ‘M’ is mass of earth. The minimum speed with which it should be projected, so that it does not return back, is (g is acceleration due to gravity on the surface of earth)
CorrectIncorrect 
Question 21 of 31
21. Question
A satellite of mass m revolves around the earth of radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is
CorrectIncorrect 
Question 22 of 31
22. Question
The acceleration due to gravity becomes (g/2) where g=acceleration due to gravity on the surface of the earth at a height equal to
CorrectIncorrectHint
Acceleration due to gravity / Acceleration due to gravity on the surface of the height

Question 23 of 31
23. Question
A planet in a distinct solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11 km s⁻¹ the escape velocity from the surface of the planet would be
CorrectIncorrect 
Question 24 of 31
24. Question
The weight of a body on surface of earth is 12.6 N. When it is raised to a height half the radius of earth its weight will be
CorrectIncorrect 
Question 25 of 31
25. Question
If R is the radius of the earth and g is the acceleration due to gravity on the earth surface, the mean density of the earth is
CorrectIncorrectHint
Use formulas, Density = Mass/Volume and g = GM/R²

Question 26 of 31
26. Question
The moon’s radius is 1/ 4 that of the earth and its mass is 1 / 80 times that of the earth.If g represents the acceleration due to gravity on the surface of the earth, then on the surface of the moon its value is
CorrectIncorrectHint
g=GM/R². Find ratio of g(moon)/gₑ(earth)

Question 27 of 31
27. Question
For a satellite escape velocity is 11 kms⁻¹.If the satellite is launched at an angle of 60° with the vertical, then escape velocity will be
CorrectIncorrectHint
What is the relationship between angle of projection and escape velocity

Question 28 of 31
28. Question
Two bodies of masses m₁ and m₂ are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. Their relative velocity at a separation distance r between them is
CorrectIncorrectHint
From conservation of mechanical energy, decrease in potential energy is equal to increase in kinetic energy

Question 29 of 31
29. Question
The escape velocity from the earth’s surface is 11 kms⁻¹. A certain planet has a radius twice that of the earth but its mean density is the same as that of the earth. The value of the escape velocity from this planet would be
CorrectIncorrectHint
Escape velocity after substituing values for Mass becomes v² = 2 G/r x 4/3 πr³ x ρ

Question 30 of 31
30. Question
The mean radius of the earth is R, its angular speed on its own axis is w and the acceleration due to gravity at earth’s surface is g. What will be the radius of the orbit of a geostationary satellite?
CorrectIncorrect 
Question 31 of 31
31. Question
If r denotes the distance between sun and the earth, then the angular momentum of the earth around the sun is proportional to
CorrectIncorrectHint
use kepler’s law
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