Question

angular frequency.If two waves ( Y1 and Y2 ) move in the same direction and superimpose with each other
to create a resultant wave, A) calculate the amplitude of the resultant wave at x = 10 m.
Consider: Y1 = 7 sin (2x - 3πt + π/3) and Y2 = 7 sin (2x + 3πt) (2)

Answer 1

Answer:

Correct option is C)

Explanation:

Given -    y  

1

​

=2sin(4x−300t)  and  y  

2

​

=sin(4x−300t−0.2) ,

due to superposition, resultant displacement will be,

                 y=y  

1

​

+y  

2

​

 ,

or               y=2sin(4x−300t)+sin(4x−300t−0.2) ,

or               y=2sin(4x−300t)+sin(4x−300t)cos(0.2)−cos(4x−300t)sin(0.2) ,

or               y=sin(4x−300t)(2+cos(0.2))−cos(4x−300t)sin(0.2) ,

 let            2+cos(0.2)=Acosθ   ,

                 sin(0.2)=Asinθ      ,

where A and θ are constants ,