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Question: Fringe width observed in the Young's double slit experiment is b. If the frequency of the source is ...

Fringe width observed in the Young's double slit experiment is b. If the frequency of the source is doubled, the fringe width will –

A

Remain b

B

Become b/2

C

Become 2b

D

Remain 3b/2

Answer

Become b/2

Explanation

Solution

Width of fringe = b

if frequency is doubled then, wavelength becomes halved, because velocity of light in air remain same

b µ l ̃ ββ\frac{\beta'}{\beta}= λλ\frac{\lambda'}{\lambda}= λ/2λ\frac{\lambda/2}{\lambda}= 12\frac{1}{2} β=β2\begin{matrix} \beta' = \frac{\beta}{2} \end{matrix}