Gravitation Test

Result

Gravitation Test - 75

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Weekly Quiz Competition

Question 1
4 / -1

An asteroid of mass m is approaching earth, initially at a distance of 10 R_e with speed v_i. It hits the earth with a speed v_f (R_e and M_e are radius and mass of earth), then

A

B

C

D

Solution
Question 2
4 / -1

A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of earth

A
The acceleration of S is always directed towards the centre of the earth

B
The angular momentum of S about the centre of the earth changes in direction but its magnitude remains constant

C
The total mechanical energy of S varies periodically with time

D
The linear momentum of S remains constant in magnitude
Question 3
4 / -1

A mass M is split into two parts, m and (M – m), whichare then separated by a certain distance. What ratio of m/M maximizes the gravitational force between the two parts

A
1/3

B
1/2

C
1/4

D
1/5

Solution
Question 4
4 / -1

If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth\'s surface would

A
Decrease by 2%

B
Remain unchanged

C
Increase by 2%

D
Increase by 1%

Solution
Question 5
4 / -1

Two stars of mass m₁ and m₂ are parts of a binary system. The radii of their orbits are r₁ and r₂ respectively, measured from the C.M. of the system. The magnitude of gravitational force m₁ exerts on m₂ is

A

B

C

D

Solution
Question 6
4 / -1

A body of mass m is taken from earth surface to the height h equal to radius of earth, the increase in potential energy will be

A
mgR

B
1/2 mgR

C
2 mgR

D
1/4 mgR

Solution
Question 7
4 / -1

An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy E₀. Its potential energy is

A
–E₀

B
1.5 E₀

C
2 E₀

D
E₀

Solution
Question 8
4 / -1

A rocket of mass M is launched vertically from the surface of the earth with an initial speed V. Assuming the radius of the earth to be R and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is

A

B

C

D

Solution
Question 9
4 / -1

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 of approach at aseparation distance r between them is

A

B

C

D

Solution
Question 10
4 / -1

A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius (1.01)R. The period of the second satellite is larger than that of the first one by approximately

A
0.5%

B
1.0%

C
1.5%

D
3.0%

Solution