Answer to Question #195542 in Mechanics | Relativity for Mohammad Balhas

Question #195542

The equation of a standing wave is y(x,t) = 0.8 cos⁡(0.1πx) sin⁡(200πt) where x and y are in cm and t is in seconds. The separation distance between two consecutive nodes is:


40 cm


20 cm


5 cm


2.5 cm


10 cm

Clear selection



1
Expert's answer
2021-05-27T18:53:39-0400

answer: 20 cm (option B)


explanation:

from the equation of wave we can find wavelength (λ\lambda ) of wave



k=2πλk={2\pi \over \lambda}

here ,

k=0.1π\pi

therefore using formula we get,

λ\lambda =20 cm


and distance between 2 consecutive node is equal to λ\lambda i.e, 20 cm.


answer: 20 cm (option B)


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