1.

The wave described by y = 0.25 sin (10 pi x - 2 pi t )where x and y are in metres and t in seconds, is a wave travelling along the :

Answer»

`+` ve x -direction with frequency `pi` HZ and wavelength `lambda` = 0.2 m.
`+` ve x-direction withfrequency 1 Hz and wavelength `lambda` = 0.2 m.
`-`ve x-direction with amplitude 0.25 m and wavelength `lambda` = 0.2 m
`-`ve x -direction with frequency 1 Hz.

Solution :Given y = 0.25 SIN `(10 pi x - 2pi t)`
y = 0.25 sin `(2 pi t - 10 pi x)`
We know that WAVE travelling along. + x -direction is
y = r sin `(omega t - kx)`
`therefore "" omega = 2pi and k = 10 pi `.
`rArr "" (2pi)/(lambda) = 10 pi"" therefore lambda = 0.2 ` m
Now `omega = 2pi ` f
`2 pi = 2 pi f "" rArr f = 1 ` Hz.


Discussion

No Comment Found

Related InterviewSolutions