Please answer immediately : A body is projected vertically upwards from ground .Taking air resistance into account ,then wrong statement among below is :

a) the time of rise to maximum height is less than that in vacuum

b) the time of rise is greater than time of fall

c) the time of rise is less than time of fall

d) the speed of particle when it returns to ground is less than speed of projection

In presence of air friction, the projectile would take less time to reach the maximum height than to drop down from the maximum height to the ground. The initial velocity of projectile causes high air friction, since, air friction increases with velocity. So, in the upward motion the maximum height is less than that in the case of vacuum. While falling down the velocity of the projectile increases and the frictional force increases too. If the height from which it is falling is large, then there might be the condition of terminal velocity also. So, it follows that the time of descent must be larger than the time of descent in presence of air friction. Since, the projectile loses some kinetic energy to the air friction, the velocity with which it hits the ground is less than the velocity it was projected.

Thus, the wrong statement is b.

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