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Question

Figure shows the strain-stress curve of two metals P and Q.


  1. P has greater young's modulus
  2. Q has greater young's modulus
  3. P and Q have same young's modulus
  4. None of these


Solution

The correct option is A P has greater young's modulus
We know that,
Young's modulus =stressstrain      ... (1)
Slope of the curve,
tanθ=strainstress        ... (2)


From (1) and (2),
Young's modulus =1tanθ
So, lower the value of θ, higher the Young's modulus.
From figure, we can see that θ1<θ2tanθ1<tanθ2
YP>YQ
Metal P has greater Young's modulus.

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