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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 is replaced by another one made of same material 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 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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