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.

Question

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.

Infinity Learn · Accepted Answer

Speed of Transverse Wave, $$V=T$$μ      here T $$=$$ Tension and μ $$=$$ Linear mass density         ​⇒$$T=$$μ$$v2$$              ​⇒ μ$$V2A=Y$$Δll        ∵Y $$=TA$$Δll  ⇒Δ$$l=$$μ$$V2lAY$$​⇒Δ$$l=6$$×$$10$$−$$3$$×$$90$$×$$901$$×$$10$$−$$6$$×$$16$$×$$1011=0.03$$ mm

Speed of transverse wave on a straight wire (mass 6.0g, length 60cm and area of cross section 1.0 $m m^{2}$ ) is 90 $m s^{- 1}$ . If the young’s modulus of wire in $16 \times 10^{11} N m^{- 2}$ the extension of wire over its natural length is.

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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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Ready to Test Your Skills?

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Speed of transverse wave on a straight wire (mass 6.0g, length 60cm and area of cross section 1.0 $m m^{2}$ ) is 90 $m s^{- 1}$ . If the young’s modulus of wire in $16 \times 10^{11} N m^{- 2}$ the extension of wire over its natural length is.