Relation between frequency and wavelength (3140)

, por F_y_Q

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A spring is producing waves with a frequency of 4 Hz and a wavelength 0.5 m. What is its velocity? What will be its wavelength if the frequency is doubled? What will be its wavelength if the frequency is reduced to half?

P.-S.

The wave’s velocity is:

{\color[RGB]{2,112,20}{\bm{v = \lambda \cdot \nu}}}\ \to\ v = 0.5\ m\cdot 4\ s^{-1} = \fbox{\color[RGB]{192,0,0}{\bm{2\ \frac{m}{s}}}}


If velocity is constant, when the frequency is doubled, the wavelength must be halved.

Similarly, if the frequency is halved, the wavelength must be doubled.