Which of these statements are true? (i)When two waves with the same frequency and amplitude overlap,the result is a wave with the same frequency and twice the amplitude.
(ii.If the two waves with the same frequency and amplitude are 180 $\circ$ out of phase,the amplitude of the resulting wave is zero.
(iii)If two waves have the same frequency and amplitude but one is positive and the other is negative,the resulting wave is a standing wave with the same frequency and amplitude.
(iv.Interference maximum occurs when waves cancel each other out.

Question

Quizplus · Accepted Answer

(i) is true because when two waves with the same frequency and amplitude overlap constructively, the amplitude of the resulting wave is twice the amplitude of each individual wave. (ii) is true because when two waves with the same frequency and amplitude are 180 degrees out of phase, they interfere destructively, resulting in a wave with zero amplitude. (iii) is false because when two waves with opposite signs overlap, they cancel each other out completely, resulting in no wave at all. (iv) is false because interference maximum occurs when two waves amplify each other, resulting in a wave with a larger amplitude than either wave individually. Therefore, only (i) and (ii) are true, leading to the choice of C as the answer.

Which of These Statements Are True? (I)When Two Waves with the Same