A body of density is dropped from rest at a height into a lake of density , where . Neglecting all dissipative forces, calculate the maximum depth to which the body sinks before returning to float on the surface |
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a) |
b) |
c) |
d) |

A body of density is dropped from rest at a height into a lake of density , where . Neglecting all dissipative forces, calculate the maximum depth to which the body sinks before returning to float on the surface |
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a) |
b) |
c) |
d) |

1 Answer

127 votes

**(c)**

The speed of the body just before entering the liquid is . The buoyant force of the lake upward thrust of liquid on the body) is greater than the weight of the body , since . If is the volume of the body and is the acceleration of the body inside the liquid, then

Or

Or or

Using the relation, we have

or

127 votes

127