JEE Advanced 2024 Paper 2

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.]