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Question: A raindrop falling from a height h above ground attains a near terminal velocity when it has fallen ...

A raindrop falling from a height h above ground attains a near terminal velocity when it has fallen through a height (34)h\left( \frac { 3 } { 4 } \right) \mathrm { h } . Which of the diagrams shown in figure correctly shows the change in kinetic and potential energy of the drop during its fall up to the ground?

A
B
C
D
Answer
Explanation

Solution

At a height h above the ground, PE of raindrop is maximum and KE = 0. As the raindrop falls its PE goes h4\frac { \mathrm { h } } { 4 } above the ground. At this stage, rain drop has acquired near terminal velocity (=constant). Therefore, at this stage, KE tends to be constant. PE becomes zero when raindrop falls to the ground. Hence, option (2) is most appropriate.