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A ray of light travelling in a transpare...

A ray of light travelling in a transparent medium f refractive index `mu`, falls on a surface separating the medium from air at an angle of incidence of `45^(@)`. For which of the following value of `mu` the ray can undergo total internal reflection ?

A

`mu=1.33`

B

`mu=1.40`

C

`mu=1.50`

D

`mu=1.25`

Text Solution

Verified by Experts

The correct Answer is:
C

For total internal reflection, sini `gt` sinC where,
i = angle of incidence
C = critical angle
But, `sin C =(1)/(mu) :. Sinigt(1)/(mu) "or" mu gt (1)/(sini)`
`mugt(1)/(sin45^(@))(i=45^(@) (Given))`
`mugtsqrt(2)`
Hence, option (c ) is correct.
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Knowledge Check

  • A ray of light travelling in transparent medium of refractive index mu falls on a surface separating the medium from air at an angle of incidence of 45^(@) . For which of the following value of mu the ray can undergo total internal reflection ?

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