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Q.

The Youngs modulus of brass and steel are respectively 10×1010N/m2 and2×1010N/m2 . A brass   wire and a steel wire of the same length are extended by 1mm under the same force; the radii  of brass and steel wire are RB and RS respectively. Then

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a

RS=5RB

b

RS=RB2

c

RS=4RB

d

RS=RB4

answer is A.

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Detailed Solution

AL=L0FYA Y1A1=Y2A2 10×1010πRB2=2×1010πRS2 5RB2=RS2 RS=5RB ⇒RS=5RB
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