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In the figure shown a sinusoidal wave is...

In the figure shown a sinusoidal wave is generated at the end A the wave travels along positive x-axis and during its motion it encounter another string BD at the junction `'B' at x=0.`The density of string AB and BC are `rho "and" 9rho`respectively and their radii of cross sections are `2r"and"r.` The wave function amplitude and wavelength of incident wave are respectively `"y"_(p) A_(i)"and"lambda_(r)` Similarly for reflected and transmitted wave these peremeters are `"y"_(r),A_(r),lambda_(r)"and"y_(i),A_(i),lambda_(i)`

Which of the following statement regarding phase difference `Deltaphi` between waves at `x=0` is true?

A

`Deltaphi=0,`between `y_(i)` and `y_(r)`

B

`Deltaphi=0`between `y_(r)` and `y_(t)`

C

`Deltaphi=pi,`between `y_(i)` and `y_(t)`

D

`Deltaphi=pi,` between `y_(r)` and `y_(t)`

Text Solution

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The correct Answer is:
D
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  • In the figure shown a sinusoidal wave is generated at the end A the wave travels along positive x-axis and during its motion it encounter another string BD at the junction 'B' at x=0. The density of string AB and BC are rho "and" 9rho respectively and their radii of cross sections are 2r"and"r. The wave function amplitude and wavelength of incident wave are respectively "y"_(p) A_(i)"and"lambda_(r) Similarly for reflected and transmitted wave these peremeters are "y"_(r),A_(r),lambda_(r)"and"y_(i),A_(i),lambda_(i) The ratio of amplitudes A_(r) "to" A_(r) "is"(i.e.A_(r):A_(t)) will be

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