A wire of length L and radius r is clamped rigidly at one end. When the other end of the wire is pulled by a force f, its length increases by l…

Question

A wire of length L and radius r is clamped rigidly at one end. When the other end of the wire is pulled by a force f, its length increases by l. Another wire of same material of length 2L and radius 2r is pulled by a force 2f. Then the increase in its length will be:

MARKS Content Team · Accepted Answer

Correct answer: (D) l. Young's modulus is same for both the wires since the material is same. For the first wire, Y=fL/(πr^2l) ...(i) For the second wire, Y=(2f(2L))/(4πr^2l') ...(ii) Dividing (i) by (ii) fL/(πr^2l)×(4πr^2l')/4fL=1⇒l'=l

A wire of length $L$ and radius $r$ is clamped rigidly at one end. When the other end of the wire is pulled by a force $f$ , its length increases by $l$ . Another wire of same material of length $2 L$ and radius $2 r$ is pulled by a force $2 f$ . Then the increase in its length will be:

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