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Question

A solid sphere hung at the lower end of a wire is suspended from a fixed point so as to give an elongation of 0.4mm. When the first solid sphere replaced by another one made of same meterial but twice the radius, the new elongation is

A
0.8mm
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B
1.6mm
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C
3.2mm
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D
1.2mm
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Solution

The correct option is C 3.2mm
V1=43πr31 mass =m . V2=43π(2r1)3=8V1 mass =8 m

Δl1=F1lAY=mglAY=0.4 mmΔl2=F2lAY=8mglAY=3.2 mm. Ans : (c)

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