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Question

A wire suspended from one end carries a sphere at its other end. The elongation in the wire reduces from 2mm to 1.6mm on completely immersing the sphere in water. The density of the material of the sphere is

A
3200 kg/m3
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B
800 kg/m3
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C
1250 kg/m3
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D
5000 kg/m3
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Solution

The correct option is D 5000 kg/m3
Y=F/AL/L
Y=F1/A2/L=F2/A1.6/L
45F1=F2
Bouyant force =F1F2=F15
F1=ρsVsg
Bouyant force =ρwVsg=F15
5ρwVsg=ρsVsg
ρs=5ρw
ρs=5000kg/m3(ρw=1000kg/m3)
So, density of material is 5000kg/m3

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