Two waves with amplitudes of 105 units and 80 units arrive at a point in a medium simultaneously. If the two waves are in phase with each other, what is the resultant amplitude of the wave?

Respuesta :

(+105) + (+80) = 185 units.

The resultant amplitude of the wave is 185 units.

Answer:

 185 units

Explanation:

When two waves meet, they superimpose and the resultant wave has amplitude which depends on the amplitude and phase of the individual waves:

[tex]R=\sqrt{A_1 ^2+A_2^2+2A_1A_2cos\phi}[/tex]

Given:

[tex]A_1= 105 units\\ A_2=80 units\\ \phi=0[/tex] because the waves are in-phase.

[tex]R=\sqrt{(105)^2+80^2+2(105)(80)cos 0}\\ R=\sqrt{(105)^2+80^2+2(105)(80)}\\ R=\sqrt{34225}=185 units [/tex]