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A ray of light travelling in a transpare...

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

A

1.3

B

1.4

C

1.5

D

1.9

Text Solution

Verified by Experts

The correct Answer is:
C
(C, D), For total internal reflection to take place, Angle of incidence, igt critical angle, `q_(c)`
or `singtsinq_(c)` or `sin45^@gt1/n`
or `1/sqrt(2)gt1/n` or `ngtsqrt(2)` or `ngt1.414`
Therefore, possible values of« can be 1.5 or 1.6 in the given options.
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Knowledge Check

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

    A
    1.3
    B
    1.4
    C
    1.5
    D
    1.6

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    A
    1.3
    B
    1.4
    C
    1.5
    D
    1.6

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    A
    (i), (ii)
    B
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    C
    (iii), (iv)
    D
    (i), (iv)

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