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Q.

Speed of transverse wave on a straight wire (mass 6.0g, length 60cm and area of cross section 1.0 mm2) is 90 ms-1. If the young’s modulus of wire in  16×1011Nm−2 the extension of wire over its natural length is.

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a

0.03mm

b

0.02mm

c

0.01mm

d

0.04mm

answer is A.

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Detailed Solution

Speed of Transverse Wave, V=Tμ      here T = Tension and μ = Linear mass density         ​⇒T=μv2              ​⇒ μV2A=YΔll        ∵Y =TAΔll  ⇒Δl=μV2lAY​⇒Δl=6×10−3×90×901×10−6×16×1011=0.03 mm
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