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A substance breaks down under a stress of ${10}^{5}$ Pa. If the density of the substance is $2\times {10}^{3}\mathrm{Kg}/{\mathrm{m}}^{3}$ , find the minimum length of the wire made of this substance which will break under its own weight (g= 10 $\mathrm{m}/{\mathrm{s}}^{2}$)

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a

10 m

b

2.5 m

c

4 m

d

5 m

detailed solution

Correct option is D

mgA=105⇒ALρgA=105⇒L=105ρg=5m

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