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A sound wave travelling with a velocity ...

A sound wave travelling with a velocity `V` in a medium `A` reaches a point on the interface of medium `A` and medium `B`. If the velocity in the medium `B` be `2 V`, then the angle
of incidence for total internal reflection of the wave will be greater than:

A

`15^(@)`

B

`30^(@)`

C

`45^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B

Light travel from medium A with velocity v to medium B with velocity 2v

Velocity is more in medium B , hence it is rarer .
Refractive index of medium A w.r.t. medium B
`mu = ""_(B)mu_(A) = ("Velocity in medium B")/("Velocity in medium A")`
`""_(B)mu_(A) = 2 //1`
Now as `sin C = (1)/(mu) therefore sin C = (1)/(2) = 0 . 5`
`implies C = 30^(@)`
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