Two balls of same size but different masses `m_(1)` and `m_(2)(m_(2)gtm_(1))` are attached to the two ends of a thin light thread and dropped from a certain height. It is known that the ciscous drag of air depends on the size and velocities of the balls. other than the gravitational pull from the earth and the viscous drag, the buoyant force from air also act on the balls, the buoyant force on a ball equals to the wweight of air displaced by the ball. After sufficiently long time from the instant the balls were dropped both of them acquire uniform velocity known as terminal velocity. When the balls have acquired terminal velocity, the tension in the thread is

Options

A. zero
B. `(m_(2)-m_(1))g`
C. `0.5(m_(2)+m_(1))g`
D. `0.5(m_(2)-m_(1))g`

Answer

D

Explanation

For vertical translational equilibrium use freebody diagram for single and two body system separately.