A wire of cross-section A is stretched horizontally between two clamps located 2 l metre apart. A weight W kg is suspended from the mid point of the wire. If the mid pint sags vertically through a distance x < I. Find the Young's modulus of the material and the value of extension x.
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a
(WlYA)13
b
(YAWl)13
c
1l[WAY]13
d
l[WYA]13
answer is D.
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Detailed Solution
Tension in the wire T=W2cosθ=Wl2xextension e=2l'-2l=2x22lstrain =e2l=x22l2We know Y = stressstrain = Wl2Ax×2l2x2 Y =Wl3Ax3 or x = (WAY)13×l∴ Correct choice is (4).