A wave is represented by $x=4 \cos \left(8 t-\frac{y}{2}\right)$, where $x$ and $y$ are in metre and $t$ in second. The frequency of the wave $\left(\right.$ in $^{-1}$ ) is .........
A$\frac{4}{\pi}$
B$\frac{8}{\pi}$
C$\frac{2}{\pi}$
D$\frac{\pi}{4}$
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A$\frac{4}{\pi}$
a (a)
$x=4 \cos \left(8 t-\frac{y}{2}\right)$
Comparing with $x=A \sin (k x-\omega t)$
$\omega=8$
and $\omega=2 \pi f$
$f=\frac{8}{2 \pi}$
$f=\frac{4}{\pi}$
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