A transverse sinusoidal wave of amplitude a, wavelength λ and frequency f is travelling on stretched string. The maximum speed of any point on the string is $$v/10$$, where v is the speed of propagation of the wave. If $$a=10$$−$$3m$$ and v $$=$$ $$10$$ $$m/s$$, then λ and f are given by

Question

A transverse sinusoidal wave of amplitude a, wavelength λ and frequency f is travelling on stretched string. The maximum speed of any point on the string is $$v/10$$, where v is the speed of propagation of the wave. If $$a=10$$−$$3m$$ and v $$=$$ $$10$$ $$m/s$$, then λ and f are given by

Infinity Learn · Accepted Answer

Aω$$=V/10a$$ω$$=v/10$$     … (i)v=$$ω$$/k$$     … $$(ii)from$$ $$(i) and $$(ii)k=110$$×$$10$$−$$3$$ ⇒$$k=100$$⇒λ$$=2$$π×$$10$$−$$2m$$ω$$=vk=$$  $$10$$×$$100$$⇒$$2$$$$π$$$$f=103$$⇒   $$f=1032$$$$π$$Hz

A transverse sinusoidal wave of amplitude a, wavelength $λ$ and frequency f is travelling on stretched string. The maximum speed of any point on the string is v/10, where v is the speed of propagation of the wave. If $a = 10^{- 3} m$ and v = 10 m/s, then $λ$ and f are given by

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A transverse sinusoidal wave of amplitude a, wavelength λ and frequency f is travelling on stretched string. The maximum speed of any point on the string is v/10, where v is the speed of propagation of the wave. If a=10−3m and v = 10 m/s, then λ and f are given by

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A transverse sinusoidal wave of amplitude a, wavelength $λ$ and frequency f is travelling on stretched string. The maximum speed of any point on the string is v/10, where v is the speed of propagation of the wave. If $a = 10^{- 3} m$ and v = 10 m/s, then $λ$ and f are given by