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Question (11)
QN0035404

Three identical particles  and  of mass  each are placed in a straight line with . The gravitational force on a fourth particle  of the same mass is , when placed at a distance  from the particle  on the perpendicular bisector of the line . The value of  will be approximately :

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

So,

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Question (12)
QN0035405

If masses of two point objects is doubled and distance between them is tripled, then gravitational force of attraction between them will nearly

  • (A)

    increase by 

  • (B)

    decrease by 

  • (C)

    decrease by 

  • (D)

    increase by 

Correct Answer: C
Explanation:

change

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Question (13)
QN0035406

A central particle  is surrounded by a square array of other particles, separated by either distance  or distance  along the perimeter of the square. The magnitude of the gravitational force on the central particle due to the other particles is                                                                             

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

.

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Question (14)
QN0035407

If three equal masses  are placed at the three vertices of an equilateral triangle of side  then what force acts on a particle of mass  placed at the centroid?

  • (A)

  • (B)

  • (C)

    Zero

  • (D)

Correct Answer: C
Explanation:

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Question (15)
QN0035408

Two identical spheres of gold are in contact with each other. The gravitational attraction between them is

  • (A)

    directly proportional to the square of the radius

  • (B)

    directly proportional to the cube of the radius

  • (C)

    directly proportional to the fourth power of the radius

  • (D)

    inversely proportional to the square of the radius

Correct Answer: C
Explanation:

The gravitational force of attraction between two identical spheres of radius  is

i.e.,

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Question (16)
QN0035409

Two particles of equal mass '  ' go around a circle of radius  under the action of their mutual gravitational attraction. The speed of each particle with respect to their centre of mass is                  

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

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