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Gravitation

Question
CBSEENPH11026407

Assertion:  Two bodies of masses M and m (M > m) are allowed to fall from the same height if the air resistance for each be the same then both the bodies will reach the earth simultaneously. 

Reason:  For same air resistance, acceleration of both the bodies will be same.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not the correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion and reason are false.

Solution

D.

If both assertion and reason are false.

The force acting on the body of mass M are its weight Mg acting vertically downwards and air resistance F acting vertically upward.

∴          Acceleration of the body

                 α = Mg - FM

                  α = g - FM

Now, M > m, therefore, the body with larger mass will have greater acceleration and it will reach the ground first.