A beam of white light is incident on a glass-air interface from glass to air such that green light just suffers total internal reflection. The colors of the light which will come out to air are [2004]

Question

A beam of white light is incident on a glass-air interface from glass to air such that green light just suffers total internal reflection. The colors of the light which will come out to air are [2004]

Smart Achievers · Accepted Answer

(3)

$\sin θ_{c} = \frac{1}{μ}$ and $μ \propto \frac{1}{λ}$ $∴$ $\sin θ_{c} \propto λ$

For higher values of $λ$ , the critical angle $θ_{c}$ also increases.

Hence, yellow, orange and red colours of light for which $θ_{c} >$ incidence angle will come out to air.

Solution

Q.
A beam of white light is incident on a glass-air interface from glass to air such that green light just suffers total internal reflection. The colors of the light which will come out to air are [2004]

1 Violet, Indigo, Blue

2 All colors except green

3 Yellow, Orange, Red

4 White light

Ans.
(3)

$\sin θ_{c} = \frac{1}{μ}$ and $μ \propto \frac{1}{λ}$ $∴$ $\sin θ_{c} \propto λ$

For higher values of $λ$ , the critical angle $θ_{c}$ also increases.

Hence, yellow, orange and red colours of light for which $θ_{c} >$ incidence angle will come out to air.

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