Question

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?

Answer 1

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

The resultant amplitude of the wave is 185 units.

Answer 2

185 units

Step-by-step explanation:

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

`R=√(A_1 ^2+A_2^2+2A_1A_2cos\phi)`

Given:

`A_1= 105 units\\ A_2=80 units\\ \phi=0` because the waves are in-phase.

`R=√((105)^2+80^2+2(105)(80)cos 0)\\ R=√((105)^2+80^2+2(105)(80))\\ R=√(34225)=185 units`