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A ray of light travelling in a transparent medium falls on a surface separating the medium from air at an angle of incidence `45^(@)`. The ray undergoes total internal reflection. If n is the refractive index of the medium with respect to air, select the possible value (s) of n from the following

A

1.3

B

1.4

C

1.5

D

1.6

Text Solution

Verified by Experts

The correct Answer is:
C,D
For total internal reflection to take place :
Angle of incidence , i`gt "critical angle " , theta_(C)`
`implies "sini" gt "sin" theta_(C)`
`implies "sin" 45^(@) gt (1)/(n)`
`implies (1)/(sqrt(2)) gt (1)/(n)`
`implies n lt sqrt(2) implies n gt 1.414`
Therefore , possible values of n can be `1.5` or `1.6` in the given options .
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Knowledge Check

  • 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
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    B
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    C
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    D
    `mu = 1.25`

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    A
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    B
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    C
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    D
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