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  4. The equation of a wave is y=3 cos π(100 t-x) where y and x are in cm and (in second). The wavelength of this wave is:

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Q. The equation of a wave is $y=3 \cos \pi(100 t-x)$ where $y$ and $x$ are in $cm$ and (in second). The wavelength of this wave is:

Haryana PMTHaryana PMT 2001

Solution:

The equation is given $y=3 \cos \pi(100 t-x)$...(1)
The standard equation of wave is
$y=a \cos \left(\omega t-\frac{2 \pi}{\lambda} x\right)$..(2)
Comparing the given equation (1) to standard equation (2)
we get $\frac{2 \pi}{\lambda}=\pi$
or $\lambda=2\, cm$