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Question (1)

QN0035448

A missile is launched with a velocity less than escape velocity. The sum of its kinetic and potential energies is

(A)
zero
(B)
negative
(C)
positive
(D)
may be positive, negative or zero.

Correct Answer: B

Explanation:

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Question (2)

QN0035449

The radius of the earth is reduced by . The mass of the earth remains unchanged. What will be the change in escape velocity?

(A)
Increased by
(B)
Increased by
(C)
Decreased by
(D)
Decreased by

Correct Answer: A

Explanation:

Escape velocity

Differentiating both sides, we get,

Dividing (ii) by (i),

If the radius decreases by , escape velocity will increase by .

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Question (3)

QN0035450

The escape velocity of a body depends upon mass as

(A)
(B)
(C)
(D)
.

Correct Answer: A

Explanation:

, where is radius of the planet.

Hence escape velocity is independent of .

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Question (4)

QN0035451

If is escape speed from the earth and is that from a planet of half the radius of earth, then

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

Escape speed, .

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Question (5)

QN0035452

Planet has mass and radius . Planet has half the mass and half the radius of Planet . If the escape velocities from the Planets and are and , respectively, then . The value of is :

(A)
4
(B)
1
(C)
2
(D)

3

Correct Answer: B

Explanation:

Escape velocity of the planet is where and be the mass and radius of the planet . According to given problem

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Question (6)

QN0035453

The moon has a mass of that of the earth and a radius of that of the earth. The escape speed from the surface of the earth is . The escape speed from the surface of the moon is:

(A)
(B)
(C)
(D)

Correct Answer: B

Explanation:

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Question (7)

QN0035454

A planet in a distant 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's surface is , the escape velocity from the surface of the planet would be

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

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Question (8)

QN0035455

The escape velocity from the earth's surface is . The escape velocity from a planet having twice the radius and same mean density as that of earth is

(A)
(B)
(C)
(D)
None of these

Correct Answer: C

Explanation:

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Question (9)

QN0035456

The kinetic energy of a satellite in its orbit around the earth is . What should be the kinetic energy of the satellite so as to enable it to escape from the gravitational pull of the earth?

(A)
(B)
(C)
(D)

Correct Answer: B

Explanation:

We know that , where is orbital velocity. K.E. in the orbit,
K.E. to escape

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Question (10)

QN0035457

The time period of the moon of planet Mars (mass ) is related to its orbital radius Gravitational constant as

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

Time period of satellite is given by:

Squaring both sides, we get

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Question (1)

A missile is launched with a velocity less than escape velocity. The sum of its kinetic and potential energies is

Explanation:

Link:

Question (2)

The radius of the earth is reduced by . The mass of the earth remains unchanged. What will be the change in escape velocity?

Explanation:

Link:

Question (3)

The escape velocity of a body depends upon mass as

Explanation:

Link:

Question (4)

If is escape speed from the earth and is that from a planet of half the radius of earth, then

Explanation:

Link:

Question (5)

Planet has mass and radius . Planet has half the mass and half the radius of Planet . If the escape velocities from the Planets and are and , respectively, then . The value of is :

Explanation:

Link:

Question (6)

The moon has a mass of that of the earth and a radius of that of the earth. The escape speed from the surface of the earth is . The escape speed from the surface of the moon is:

Explanation:

Link:

Question (7)

A planet in a distant 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's surface is , the escape velocity from the surface of the planet would be

Explanation:

Link:

Question (8)

The escape velocity from the earth's surface is . The escape velocity from a planet having twice the radius and same mean density as that of earth is

Explanation:

Link:

Question (9)

The kinetic energy of a satellite in its orbit around the earth is . What should be the kinetic energy of the satellite so as to enable it to escape from the gravitational pull of the earth?

Explanation:

Link:

Question (10)

The time period of the moon of planet Mars (mass ) is related to its orbital radius Gravitational constant as

Explanation:

Link:

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