Assertion: Two bodies of masses `M` and `m(M gt 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.

Options

A. If both assertion and reason are true and reason is a true explanation of assertion.
B. if reason is true but assertion is false
C. If assertion is true but reason is false.
D. If both assertion and reason are false.

Answer

D

Explanation

The force acting on the body of mass `M` is its weight `Mg` acting vertically upward.
:. Acceleration of the body,
`a=(Mg-F)/(M)=g-(F)/(M)`
Now, `Mgtm` , therefore, the body with larger mass will have greater acceleration and it will reach the ground first.