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

Answer:

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.

Answer:

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.

Answer: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, [tex]A_{R}[/tex] = [tex]\sqrt{A_{1} ^{2} + A_{2} ^{2} + 2A_{1} A_{2}cos \alpha }[/tex]

= [tex]\sqrt{(A_{1} – A_{2} )^{2} }[/tex]

= [tex]A_{1}[/tex] – [tex]A_{2}[/tex]

where [tex]\alpha[/tex] is the phase difference.

Given that: [tex]A_{1}[/tex] = 75 units, [tex]A_{2}[/tex] = 74 units, so that;

[tex]A_{R}[/tex] = 75 – 74

= 1

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