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The Young's modulus of brass and steel are respectively 10 x 1010 N ,/ m2 and z x 1010 N / m2. A brass wire and a steel wire of the same length are extended by 1 mm under the same force, the radii of brass and steel wires are RB and Rs respectively. Then

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a

Rs=2RB

b

Rs=RB/2

c

Rs=4RB

d

Rs=RB/4

answer is B.

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Detailed Solution

We know that,Y=FL/πr2l∴ r2=FL/(Yπl)or RB2=FL/YBπland RS2=FL/YSπlRB2RS2=YSYB=2×10101010=2RB2=2RS2 or RB=2RSor RS=RB/2

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