A) \[\frac{\sigma h}{\rho }\]
B) \[\left[ \frac{\sigma }{\rho }+1 \right]h\]
C) \[h\]
D) \[\left[ \frac{\sigma }{\rho }-1 \right]h\]
Correct Answer: D
Solution :
[d] Upward acceleration of ball in water \[a=\frac{upthurst-weight}{mass}=\frac{V\sigma g-V\rho g}{V\rho }\] \[a=\left[ \frac{\sigma -\rho }{\rho } \right]g\] \[\therefore \] Velocity of ball just before it leaves water Surface \[{{v}^{2}}=2ah=2\left[ \frac{\sigma -\rho }{\rho } \right]gh\] Ball still retard with "g" \[H=\frac{{{v}^{2}}}{2g}\left[ \frac{\sigma }{\rho }-1 \right]h\]
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