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Image Shift in a Glass Slab

The phases of...

Question

The phases of the light wave at c, d, e and f are $ϕ_{c}, ϕ_{d}, ϕ_{e}$ and $ϕ_{f}$ respectively. It is given that $ϕ_{c} \neq ϕ_{f}$ :

A

ϕ_{c}

cannot be equal to

ϕ_{d}

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B

ϕ_{d}

cannot equal to

ϕ_{e}

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C

(ϕ_{d} - ϕ_{f})

is equal to

(ϕ_{c} - ϕ_{e})

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D

(ϕ_{d} - ϕ_{c})

is not equal to

(ϕ_{f} - ϕ_{e})

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Solution

The correct option is B $(ϕ_{d} - ϕ_{f})$ is equal to $(ϕ_{c} - ϕ_{e})$
All points on a wave front are at the same phase.
$∴ ϕ_{d} = ϕ_{c}$ and $ϕ_{f} = ϕ_{e}$
Subtracting both equations given above we get
$ϕ_{d} - ϕ_{f} = ϕ_{c} - ϕ_{e}$

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