Two sinusoidal waves of the same frequency are to be sent in the same direction along a taut string. One wave has an amplitude of 5.50 mm, the other 12.0 mm. (a) What phase difference `phi_(1)` between the two waves results in the smallest amplitude of the resultant wave? (b) What is that smallest ! amplitude? (c) What phase difference `phi_(2)` results in the largest amplitude of the resultant wave? (d) What is that largest amplitude? (e) What is the resultant amplitude if the phase angle is `(phi_(1)-phi_(2))//2?`

Answer

(a) pi rad; (b) 6.50 mm; (c) 0 rad; (d) 17.5 mm (e) 13.2 mm