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Travelling wave travels in medium '1' an...

Travelling wave travels in medium '1' and enters into another medium '2' in which it's speed gets decreased to `25%`. Then magnitude of ratio of Amplitude of transmitted to rerflected wave is :

A

`(6)/(5)`

B

`(2)/(3)`

C

`(1)/(7)`

D

`(5)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
B
Travelling wave ……………..

`V_(2) = (V_(1))/(4)`
`|(A_(t))/(A_(r))| = ((2V_(2))/(V_(1)+V_(2))A,)/((V_(2)-V_(1))/(V_(1)+V_(2))A,)`
`= ((2V_(2))/(V_(2)-V_(1)))`
`= ((2(V_(1))/(4))/((V_(1))/(4)-V_(1))) = ((2.(V_(1))/(4))/((3V_(1))/(4))) = (2)/(3)`
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