Gravitation Test

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Gravitation Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

Escape velocity of a projectile from the surface of earth is about

A
3 × 10¹⁰ cm/s

B
18600 m/s

C
11.2 km/s

D
8 km/s

Solution

Escape velocity of a projectile from the surface of earth is about 11.2 km/s
Question 2
1 / -0

A pendulum has a velocity v at the lowest point. What is the maximum height reached by it?

A
v²/g

B
2v²/g

C
v²/2g

D
v²/4g

Solution

Let d be the maximum height reaches by the pendulum
v² = 2gd
d = v²/2g
Question 3
1 / -0

The mass of a satellite increases by a factor of two. The orbital velocity

A
becomes twice

B
becomes thrice

C
remains unchanged

D
insufficient information

Solution

The mass of a satellite increases by a factor of two. The orbital velocity remains unchanged because orbital velocity of satellite does not depend upon the mass of the satellite.
Question 4
1 / -0

Inside a satellite, orbiting very close the earth's surface, water does not fall out of a glass when it is inverted. Which of the following is the best explanation for this?

A
The earth does not exert any force on the water.

B
The earth's force of attraction on the water is exactly balanced by the force created by the satellite's motion.

C
The water and the glass have the same acceleration, equal to g, towards the centre of the earth. Hence, there is no relative motion between them.

D
The gravitational attraction between the glass and the water balances the earth's attraction on the water.

Solution

The water and the glass have the same acceleration, equal to g, towards the centre of the earth. Hence, there is no relative motion between them.
Question 5
1 / -0

Which of the following is not a statement of Kepler's Law?

A
Line joining planet and sun sweeps equal areas in equal time.

B
Square of time period is proportional to cube of radius.

C
Planets move around the sun in a circular orbit.

D
Planets move around the sun in an elliptical orbit with sun at one of the foci.

Solution

Planets move around the sun in a circular orbit is not a statement of Kepler's Law.
Question 6
1 / -0

When a planet moves around the sun, its

A
areal velocity is constant

B
linear velocity is constant

C
angular velocity is constant

D
all the velocities are constant

Solution

When a planet moves around the sun, its areal velocity is constant
Question 7
1 / -0

When a body moves with high speed, albeit, much below the speed of light, its mass

A
remains unchanged

B
decreases

C
increases

D
none of the above

Solution

In Newtonian physics, the masss of a body is not dependent on the speed of the body.

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Gravitation Test - 4

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Gravitation Test - 4

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Question 1

3 × 1010 cm/s

18600 m/s

11.2 km/s

8 km/s

Solution

Question 2

v2/g

2v2/g

v2/2g

v2/4g

Solution

Question 3

becomes twice

becomes thrice

remains unchanged

insufficient information

Solution

Question 4

The earth does not exert any force on the water.

The earth's force of attraction on the water is exactly balanced by the force created by the satellite's motion.

The water and the glass have the same acceleration, equal to g, towards the centre of the earth. Hence, there is no relative motion between them.

The gravitational attraction between the glass and the water balances the earth's attraction on the water.

Solution

Question 5

Line joining planet and sun sweeps equal areas in equal time.

Square of time period is proportional to cube of radius.

Planets move around the sun in a circular orbit.

Planets move around the sun in an elliptical orbit with sun at one of the foci.

Solution

Question 6

areal velocity is constant

linear velocity is constant

angular velocity is constant

all the velocities are constant

Solution

Question 7

remains unchanged

decreases

increases

none of the above

Solution

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3 × 10¹⁰ cm/s

v²/g

2v²/g

v²/2g

v²/4g