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AM,GM,HM Inequality

The separatio...

Question

The separation between successive fringes in a double slit arrangement is $x$ . If the whole arrangement is dipped under water what will be the new fringe separation? [the wavelength of light being used is 5000 $o A$ ]

A

1.5 x

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B

x

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C

0.75 x

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D

2 x

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Solution

The correct option is C $0.75 x$
When the arrangement is dipped in water;
$β^{^{'}}$ = $β / μ$ = $\frac{x}{4 / 3}$ = $\frac{3}{4} x$ = $0.75 x$

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