In a double slit experiment, when light of wavelength 400 nm was used, the angular width of the first minima formed on a screen placed 1 m away, was found to be . What will be the angular width of the first minima, if the entire experimental apparatus is

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Solution

Q.
In a double slit experiment, when light of wavelength 400 nm was used, the angular width of the first minima formed on a screen placed 1 m away, was found to be $0 . 2^{o}$ . What will be the angular width of the first minima, if the entire experimental apparatus is immersed in water $(μ_{water} = \frac{4}{3})$ [2019]

1 $0 . 1^{o}$

2 $0 . 266^{o}$

3 $0 . 15^{o}$

4 $0 . 05^{o}$

Ans.
(3)

Angular width for first minima in Young's double slit experiment, $θ = \frac{λ}{a}$

For given value of $a, θ \propto λ$

$\frac{θ}{θ_{w}} = \frac{λ}{λ_{w}} = \frac{λ}{\frac{λ}{μ}} = μ \Rightarrow θ_{w} = \frac{θ}{μ} = \frac{0.2 °}{\frac{4}{3}} = 0.15 °$

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