Laws of MotionHard

Question

In an imaginary atmosphere, the air exerts a small force F on any particle in the direction of the particle′s motion. A particle of mass m projected upward takes a time t1 in reaching the maximum height and t2 in the return journey to the original point. Then

Options

A.t1 < t2
B.t1 > t2
C.t1 = t2
D.the relation between t1 and t2 depends on the mass of the particle.

Solution

Let acceleration produce by air is ′a′ than for upward motion
net acceleration = g − a
so t1 =             
for downward motion
net acceleration =  g + a
so t2 =            
Now t1 > t2       Ans.

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