1.

Incident wave `y= A sin (ax + bt+ pi/2)` is reflected by an obstacle at x = 0 which reduces intensity of reflected wave by 36%. Due to superposition, the resulting wave consists of a standing wave and a travelling wave given by `y= -1.6 sin ax sin bt + cA cos (bt + ax)` where A, a, b and c are positive constants. 2. Value of c isA. 0.2B. 0.4C. 0.6D. 0.3

Answer» Correct Answer - A
`y = y_i + y_r `
` = A sin (ax + bt + pi//2)`
`+0.8 A sin (ax - bt +pi//2)`
` = [0.8 A sin (ax +bt + pi/2)`
`+ 0.8 A sin (ax -bt + pi/2)] `
`+ 0.2 A sin (ax + bt+ pi/2)`
`= 1.6 sin ax sin bt + 0.2 A cos (bt + ax)`
`:. c = 0.2`


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