Wave Optics

Question

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How would the angular separation of interference fringes in Young's double slit experiment change when the distance between the slits and screen is halved?

Solution

Angular seperation of interference fringes is given by,
$ω = \frac{λD}{d}$
D is the distance between screen and slit and,
d is the distance between slits.

Now, when the distance between the slits and the screen is halved we have,

$ω_{1} = \frac{λ . D / 2}{d} = \frac{1}{2} \frac{λD}{d}$

$\Rightarrow$ $ω_{1} = \frac{1}{2} ω .$
That is, angular seperation becomes half of the initial value.

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Wave Optics

How would the angular separation of interference fringes in Young's double slit experiment change when the distance between the slits and screen is halved?

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Is the speed of light in glass independent of the colour of light? If not, which of the two colours red and violet travels slower in a glass prism?

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