## Two waves with Amplitude of 75 units and 74 units arrive at a point in a medium simultaneously. If the two waves are out of phase with each

Question

Two waves with Amplitude of 75 units and 74 units arrive at a point in a medium simultaneously. If the two waves are out of phase with each other what is the resultant amplitude of the wave

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1 year 2021-09-03T19:40:57+00:00 2 Answers 7 views 0

Resultant amplitude = 1 unit.

Explanation:

The amplitude of a wave is its maximum displacement during propagation.

Since the two waves are out of phase, the resultant amplitude can be determine by;

Resultant amplitude,  =

=

=  –

where  is the phase difference.

Given that:  = 75 units,  = 74 units, so that;

= 75 – 74

= 1

The resultant amplitude of the two wave when out of phase is 1 unit.

Resultant amplitude = 1 unit.

Explanation:

The amplitude of a wave is its maximum displacement during propagation.

Since the two waves are out of phase, the resultant amplitude can be determine by;

Resultant amplitude, $$A_{R}$$ = $$\sqrt{A_{1} ^{2} + A_{2} ^{2} + 2A_{1} A_{2}cos \alpha }$$

= $$\sqrt{(A_{1} – A_{2} )^{2} }$$

= $$A_{1}$$ –  $$A_{2}$$

where $$\alpha$$ is the phase difference.

Given that: $$A_{1}$$ = 75 units, $$A_{2}$$ = 74 units, so that;

$$A_{R}$$ = 75 – 74

= 1

The resultant amplitude of the two wave when out of phase is 1 unit.