Physics, asked by malpuremadhura, 5 months ago

the amplitude of a wave is represented by y = 0.2 sin 4π[t/0.008 x/0.8] is si units find wavelength, frequency, amplitude of wave​

Answers

Answered by ny67727gmailcom
13

Explanation:

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Answered by NirmalPandya
4

Given:

y=0.2Sin4\pi [\frac{t}{0.008}-\frac{x}{0.8}]

To find:

Wavelength, frequency, and amplitude of the wave.

Solution:

Here, the equation of a wave is given by:

y=0.2Sin4\pi [\frac{t}{0.008}-\frac{x}{0.8}]

Let us split 4\pi as 2 × 2\pi

Then,

y=0.2Sin(2*2\pi) [\frac{t}{0.008}-\frac{x}{0.8}]

Multiplying 2 inside the square brackets.

y=0.2Sin2\pi [\frac{2t}{0.008}-\frac{2x}{0.8}]

y=0.2Sin2\pi [\frac{t}{0.004}-\frac{x}{0.4}]...(1)

This equation is similar to the equation of a simple harmonic progressive wave which is given by:

y=ASin2\pi [\frac{t}{T}-\frac{x}{\lambda}  ]...(2)

where A is the amplitude of the wave, T is the time period and \lambda is the wavelength of the wave.

On comparing equation (2) with equation (1), we can say that,

A=0.2m, T=0.004s, \lambda=0.4m

Hence, the amplitude of the wave, A=0.2m

time period = \frac{1}{frequency}

Frequency=\frac{1}{TimePeriod}=\frac{1}{0.004}=250Hz

Wavelength of the wave, \lambda=0.4m

The wavelength, frequency and amplitude of the wave are calculated as 0.4m, 250 Hz, and 0.2m respectively in S.I units.

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