fluid doubts... from vmc modules... please help 3

A piece of ice with a stione frozen inside it is floating in water contained in a beaker. When the ice melts the level of water in a beaker

a)rises

b)falls

c)remains unchanged

d)falls at first then to the same height as before

the answer given is b

1 Answers

let ice have density and volume of Ï and V respectively.

let the stone have density and volume d(>1) and v respectively.

when the system is floating water displaced=(dv+ÏV)g1.g=dv+ÏV

now ice melts and stone falls!!

ice gives ÏV1=ÏV of water

the stone sinks to displace V vol of water

so new water displaced=ÏV+v of water<ÏV+dv

thus water displaced decreases
and water level falls!!

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