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Q.

The Young’s modulus of a material is 2 × 1011N/m2 and its elastic limit is 1 × 108N/m2. For a wire of 1m length of this material, the maximum elongation achievable is

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a

 0.2 mm

b

0.3 mm 

c

0.4 mm

d

0.5 mm

answer is D.

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Detailed Solution

Given,

stress=1.8×108N/m2, Y=2×1011N/m2 & l=1m

By Hooke's law,

strain=stressY⇒strain=el

⇒e=stressYl=1082×1011×1=5×10-4m=0.5mm

Hence the correct answer is 0.5mm.

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