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 is replaced by another one made of same material but twice the radius, the new elongation is

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

Solution

## The correct option is B $$3.2mm$$As radius is doubled volume becomes 8 times and, hence, the wt. of sphere.The force becomes 8 times.$$F \propto \Delta L$$$$\therefore \Delta L$$ also becomes 8 times$$\Delta {L}'=8\times 0.4 mm$$$$=3.2 mm$$Physics

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