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Q.

The Young’s modulus of Brass and Steel are respectively 1.0×1010 N/m2  and  2×1010 N/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 wires are RB and RS. The relation between radii is?

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a

RS=2RB

b

RS=RB2

c

RS=4RB

d

RS=RB4

answer is B.

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Detailed Solution

Δl=FlAY=FlπR2YΔl, l and F are sameHence, R2Y=constantR∝1YRSRB=YBYS=12∴RS=RB2
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