The figure shows a surface XY separating two transparent media, m… - Vidyadip

MCQ

The figure shows a surface $XY$ separating two transparent media, medium - $1$ and medium- $2$. The lines $ab$ and $cd$ represent wavefronts of a light wave traveling in medium- $1$ and incident on $XY$. The lines $ef$ and $gh$ represent wavefronts of the light wave in medium- $2$ after refraction.

The phases of the light wave at $c, d, e$ and $f$ are $\phi_c,\phi_d, \phi_e$ and $\phi_f$ respectively. It is given that $\phi_c \neq \phi_f.$

A
$\phi_c$ cannot be equal to $\phi_d$
B
$\phi_d$ can be equal to $\phi_e$
✓
$(\phi_d -\phi_f)$ is equal to $(\phi_c -\phi_e)$
D
$(\phi_d -\phi_c)$ is not equal to $(\phi_f -\phi_e)$

✓

Answer

Correct option: C.

$(\phi_d -\phi_f)$ is equal to $(\phi_c -\phi_e)$

c
$\phi_{c}=\phi_{d}$

$\phi_{e}=\phi_{f}$

on subtracts

$\phi_{c}-\phi_{e}=\phi_{d}-\phi_{f}$

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