Thu January 19, 2012 By:

If length and diameter of two wires of a given material are in the ratio 1:2 each. What is the ratio of their Young's Modulus?

Expert Reply
Thu January 19, 2012
Youngs modulus is given by the formula
Y = FL/A?, where F is force , L is length, ? is deformation and A is area given by ?r2
Now, L1/L2=1/2  and D1/L2=1/2 means r1/r2=1/2
So, Y1/Y2=(L1/L2)(r2/r1)2 = 4/2 =2
hence the ratio to their youngs modulus is 2:1
Thank you
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