## Question

The equation of a simple harmonic progressive wave is *y* = 0.30 sin (314 *t*– 1.57 *x*), where *t*, *x* and *y* are in second, meter and cm respectively. Calculate the frequency and the wavelength of the wave

### Solution

Frequency = 50 second^{–1} , wavelength = 4m

In the equation *y* = 0.30 sin (314 *t* – 1.57 *x*), *t* is in second, *y* in cm and *x* in meter. If *y* is also expressed in meter, then

Comparing it with the standard equation , we get

Time-period *T* = (1/50) second.

∴ frequency, *n* = 1/*T* = **50 second ^{–1}**.

And wavelength, λ = **4 meter.**

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