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If the ratio of lengths, radii and Young’s modulus of steel and brass wires shown in the figure are  and , respectively. The ratio between the increase in lengths of brass and steel wires would be

a)

b)

c)

d)



Question ID - 56319 | SaraNextGen Top Answer

If the ratio of lengths, radii and Young’s modulus of steel and brass wires shown in the figure are  and , respectively. The ratio between the increase in lengths of brass and steel wires would be

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (d) -

(d)

Given,

Let Young’s modulus of steel be , and that of brass be

            …(i)

and      …(ii)

Dividing Equation (i) by Equation (ii), we get

      …(iii)

Force on steel wire from free body diagram

 Newton

Force on brass wire from free body diagram

 Newton

Now, putting the value of  in Equation (iii), we get

127 votes


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