Gravitation Question 343

Question: The gravitational field, due to the ’left over part* of a uniform sphere (from which a part as shown, has been ‘removed out’), at a very far off point, P, located as shown, would be (nearly):

Options:

A) [56GMx2]

B) [89GMx2]

C) [78GMx2]

D) [67GMx2]

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let mass of smaller sphere (which has to be removed) is m Radius

    [=R2] [M43πR3=m43π(R2)3m=M8]

    Mass of the left over part of the sphere

    [M=MM8=78M]

    Therefore gravitational field due to the left over part of the sphere

    [=GMx2=78GMx2]



NCERT Chapter Video Solution

Dual Pane