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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)`

The ratio of wavelengths `lambda_(r) "to" lambda_(i) (i.e.lambda_(r):lambda_(t))` will be

A

`1:1`

B

`3:2`

C

`2:3`

D

None of these

Text Solution

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The correct Answer is:
B
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