Which of the diagrams in figure correctly shows the change in kinetic energy of an iron sphere falling freely in a lake having sufficient depth to impart it a terminal velocity?
A
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B
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C
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D
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Solution
The correct option is D When an iron sphere is falling freely in the lake, it will accelerate due to gravitational force, and its velocity increases continuously, and resistance due to water, also known as viscous force or upthrust which opposes the motion, acts on sphere. It depends upon velocity of object, as the velocity increases, upthrust increases. Hence during fall of sphere first its velocity increases, and then becomes constant after some depth.
This constant velocity is called terminal velocity. Hence 𝐾𝐸 becomes constant beyond this depth, which is best represented by (b)