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Q.

In a Young's double slit experiment, if the wavelength of light is increased by 50% and the distance between the slits is doubled then the percentage change in fringe width is

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a

50

b

25

c

75

d

15

answer is C.

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Detailed Solution

The fringe width $β = \frac{λ D}{d}$

$\frac{β_{1}}{β_{2}} = \frac{λ_{1}}{λ_{2}} \times \frac{d_{2}}{d_{1}} = \frac{λ}{1.5 λ} \times \frac{2 d}{d} = \frac{4}{3}$

Hence, the fringe width is decreased by 25%.

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In a Young's double slit experiment, if the wavelength of light is increased by 50% and the distance between the slits is doubled then the percentage change in fringe width is