two waves of same frequency and intensity superimpose on each other in opposite phases after the super position. the intensity and frequency will be

When two waves of the same frequency and intensity superimpose on each other in opposite phases, they undergo destructive interference. This means that the peaks of one wave align with the troughs of the other, effectively cancelling each other out.

Step 1: Understand the concept of superposition Superposition is the principle that the total displacement of a medium caused by two or more waves is the algebraic sum of the displacements of the individual waves.

Step 2: Understand the concept of phase Phase refers to the position of a point in time (an instant) on a waveform cycle. A complete cycle is defined as 360 degrees of phase. Being in opposite phases means that one wave is at its peak while the other is at its trough.

Step 3: Understand the concept of destructive interference When two waves are in opposite phases, they undergo destructive interference. This means that the peak of one wave aligns with the trough of the other, effectively cancelling each other out.

Step 4: Apply these concepts to the question In this case, two waves of the same frequency and intensity are superimposing on each other in opposite phases. This means that they will undergo destructive interference and cancel each other out.

Conclusion: After the superposition, the intensity of the resulting wave will be zero because the two waves have cancelled each other out. However, the frequency will remain the same as the original waves, because frequency is a characteristic of the wave determined by its source and is not affected by interference.