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Q.

A substance breaks down under a stress of 105 Pa. If the density of the substance is 2 x 103 kg/m3, find the minimum length of the wire made of this substance which will break under its own weight (g = 10 m/s2)

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a

10 m

b

2.5 m

c

4 m

d

5 m

answer is D.

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Detailed Solution

Stress at B is maximum, so the wire will break first at B if stress here becomes 105 Pa:mgA = 105⇒ALρgA = 105  ⇒ L = 105ρg = 5 m
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