A table tennis ball has radius \( \left(\frac{3}{2}\right)\times 10^{-2} \, \text{m} \) and mass \( \left(\frac{22}{7}\right)\times 10^{-3} \, \text{kg} \). It is slowly pushed down into a swimming pool to a depth of \( d = 0.7 \, \text{m} \) 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: \( \pi = \frac{22}{7} \), \( g = 10 \, \text{m s}^{-2} \), density of water \( = 1 \times 10^{3} \, \text{kg m}^{-3} \), viscosity of water \( = 1 \times 10^{3} \, \text{Pa−s} \).]
