# Answer to Question #54841 in Other Physics for MAYANK BISHT

Question #54841

5. a) Transverse waves propagating on a stretched string encounter another string of different

characteristic impedance. i) Write down the equations of particle displacement due to the

incident, reflected and transmitted waves. ii) Specify the boundary conditions and iii) use

these to obtain expressions for reflection and transmission amplitude coefficients. (3+2+5)

b) Two waves, travelling along the same direction, are given by

( , ) sin( ) 1 1 1

y x t = a ω t − k x

and

( , ) sin( ) 2 2 2

y x t = a ω t − k x

Suppose that ω1

and 1

k are respectively slightly greater than ω2

and . 2

k i) Obtain an

expression for the resultant wave arising due to their superposition and ii) explain the

formation of wave packets.

characteristic impedance. i) Write down the equations of particle displacement due to the

incident, reflected and transmitted waves. ii) Specify the boundary conditions and iii) use

these to obtain expressions for reflection and transmission amplitude coefficients. (3+2+5)

b) Two waves, travelling along the same direction, are given by

( , ) sin( ) 1 1 1

y x t = a ω t − k x

and

( , ) sin( ) 2 2 2

y x t = a ω t − k x

Suppose that ω1

and 1

k are respectively slightly greater than ω2

and . 2

k i) Obtain an

expression for the resultant wave arising due to their superposition and ii) explain the

formation of wave packets.

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