question_answer

A wave travelling along the x-axis is described by the equation \[y\left( x,\,t \right)=0.005\cos \left( \alpha x-\beta t \right)\]. If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then \[\alpha \] and \[\beta \] in appropriate units are        [AIEEE 2008]

A)  \[\alpha =\frac{0.04}{\pi },\,\beta =\frac{1.0}{\pi }\]      

B)  \[\alpha =12.50\pi ,\,\beta =\frac{\pi }{2.0}\]

C) \[\alpha =25.00\pi ,\,\beta =\pi \]

D)  \[\alpha =\frac{0.08}{\pi },\,\beta =\frac{2.0}{\pi }\]

Correct Answer: C

Solution :

[c] ;