Wave Properties with Frequency Change · PhysicsBowl 2011 #23

Physics

Problem

A string, clamped at both ends, has its tension fixed. A wave generator vibrates the string with a frequency ff producing waves of wavelength λ\lambda which have speed vv. The frequency of the wave generator now is doubled to 2f2f. Which one of the following choices best describes the new values of the wavelength of waves produced and the speed of the waves on the string?
WavelengthWave speed
(A)½λ\lambdavv
(B)½λ\lambda2v2v
(C)λ\lambda2v2v
(D)λ\lambdavv
(E)2λ2\lambda4v4v

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