Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2024-Paper-2 A table tennis ball has radius and mass . …
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2024-Paper-2 Single Correct MCQ
Published on: August 14, 2026

A table tennis ball has radius and mass . It is slowly pushed down into a swimming pool to a depth of below the water surface and then released from rest. It emerges from the water surface at speed , without getting wet, and rises up to a height . Which of the following option(s) is (are) correct?

[Given: , density of water , viscosity of water .]

A
The work done in pushing the ball to the depth d is .
B
If we neglect the viscous force in water, then the speed .
C
If we neglect the viscous force in water, then the height .
D
The ratio of the magnitudes of the net force excluding the viscous force to the maximum viscous force in water is .

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Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(a, b, d) Work done in pushing the ball

Where Density of water Density of ball

[A is correct]

When ball is released at bottom same work (i.e. ) is done on ball.

is correct

also, [C is incorrect]

Net force

Also, viscous force is maximum when .

Now,

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