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JEE Advanced 2024 Paper 2

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Question : 6

Total: 51

A table tennis ball has radius (3∕2)×10−2m and mass (22∕7)×10−3‌kg. It is slowly pushed down into a swimming pool to a depth of d=0.7m below the water surface and then released from rest. It emerges from the water surface at speed v, without getting wet, and rises up to a height H. Which of the following option(s) is (are) correct?
[Given: π=22∕7,g=10ms−2, density of water =1×103‌kg‌m−3, viscosity of water =1×10−3‌Pa− s.]

[JEE Adv 2024 P2]

The work done in pushing the ball to the depth d is 0.077 J .
If we neglect the viscous force in water, then the speed v=7m∕ s.
If we neglect the viscous force in water, then the height H=1.4m.
The ratio of the magnitudes of the net force excluding the viscous force to the maximum viscous force in water is 500/9.

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