The following equations represent transvers waves : z_(1)=A cos (ky-omega t). Identify the combination (s) of the waves which will produce (i) standing waves (s), (ii) a wave travelling in the direction making an angle of 45^(@) with the positive x and positive y-axes. In each case find the positions at which the resultant intensity is always zero.

The following equations represent transvers waves : z_(1)=A cos (ky-om

1.	The following equations represent transvers waves : z_(1)=A cos (ky-omega t). Identify the combination (s) of the waves which will produce (i) standing waves (s), (ii) a wave travelling in the direction making an angle of 45^(@) with the positive x and positive y-axes. In each case find the positions at which the resultant intensity is always zero.
Answer» Answer :1 and 2 combine to form stationary waves; `x=(2s+1) pi//2k`. 1 and 3 combine to form progressive WAVE MAKING an angle of `45^(@)` with x and y-axis; `x=y pm (2s+1)pi//k`