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

Answer 1

Resultant amplitude = 1 unit.

Step-by-step 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 2

Resultant amplitude = 1 unit.

Step-by-step 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.