A wave travelling along the $x$-axis is described by the equation $y ( x , t ) = 0.005 \cos ( \alpha x - \beta t )$. 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 (1) $\alpha = 25.00 \pi , \beta = \pi$ (2) $\alpha = \frac { 0.08 } { \pi } , \beta = \frac { 2.0 } { \pi }$ (3) $\alpha = \frac { 0.04 } { \pi } , \beta = \frac { 1.0 } { \pi }$ (4) $\alpha = 12.50 \pi , \beta = \frac { \pi } { 2.0 }$
A wave travelling along the $x$-axis is described by the equation $y ( x , t ) = 0.005 \cos ( \alpha x - \beta t )$. 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\\
(1) $\alpha = 25.00 \pi , \beta = \pi$\\
(2) $\alpha = \frac { 0.08 } { \pi } , \beta = \frac { 2.0 } { \pi }$\\
(3) $\alpha = \frac { 0.04 } { \pi } , \beta = \frac { 1.0 } { \pi }$\\
(4) $\alpha = 12.50 \pi , \beta = \frac { \pi } { 2.0 }$