Figure, shows wave fronts in still water, moving in the direction of the arrow towards the interface $PQ$ between a shallow region and $a$ deep(denser) region. Which of the lines shown may represent one of the wave fronts in the deep region?
$I$
$II$
$III$
$IV$
Carefully analyses the diagram and choose the correct option :
The figure shows a surface $XY$ separating two transparent media, medium -$1$ and medium -$2$. The lines $a b$ and cd represent wavefronts of a light wave travelling in medium-$1$ and incident on $XY$. The lines ef and gh represent wavefronts of the light wave in medium-$2$ after refraction.
$Image$
$1.$ Light travels as a
$(A)$ parallel beam in each medium
$(B)$ convergent beam in each medium
$(C)$ divergent beam in each medium
$(D)$ divergent beam in one medium and convergent beam in the other medium.
$2.$ The phases of the light wave at $\mathrm{c}, \mathrm{d}, \mathrm{e}$ and $\mathrm{f}$ are $\phi_{\mathrm{c}}, \phi_{\mathrm{d}}, \phi_{\mathrm{e}}$ and $\phi_{\mathrm{f}}$ respectively. It is given that $\phi_{\mathrm{c}} \neq \phi_{\mathrm{f}}$
$(A)$ $\phi_{\mathrm{c}}$ cannot be equal to $\phi_{\mathrm{d}}$
$(B)$ $\phi_{\mathrm{a}}$ can be equal to $\phi_{\mathrm{e}}$
$(C)$ $\left(\phi_{\mathrm{d}}-\phi_t\right)$ is equal to $\left(\phi_{\mathrm{c}}-\phi_{\mathrm{e}}\right)$
$(D)$ $\left(\phi_{\mathrm{d}}-\phi_c\right)$ is not equal to $\left(\phi_{\mathrm{f}}-\phi_e\right)$
$3.$ Speed of the light is
$(A)$ the same in medium-$1$ and medium-$2$
$(B)$ larger in medium-$1$ than in medium-$2$
$(C)$ larger in medium-$2$ than in medium-$1$
$(D)$ different at $\mathrm{b}$ and $\mathrm{d}$
Give the answer question $1, 2$ and $3.$
Write Huygen's principle and explain it.
Consider a point at the focal point of a convergent lens. Another convergent lens of short focal length is placed on the other side. What is the nature of the wavefronts emerging from the final image ?