In a Young's double slit experiment, 12 fringes are observed to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of th

Question

In a Young's double slit experiment, 12 fringes are observed to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen is given by [2001]

Smart Achievers · Accepted Answer

(2)

Fringe width, $ω = \frac{12 λ_{1} D}{d} = \frac{k λ_{2} D}{d}$

$\Rightarrow k = \frac{12 \times 600}{400} = 18$

Hence, the number of fringes observed in the same segment of the screen $= 18$

Solution

Q.
In a Young's double slit experiment, 12 fringes are observed to be formed in a certain segment of the screen when light of wavelength 600 nm is used. If the wavelength of light is changed to 400 nm, the number of fringes observed in the same segment of the screen is given by [2001]

1 12

2 18

3 24

4 30

Ans.
(2)

Fringe width, $ω = \frac{12 λ_{1} D}{d} = \frac{k λ_{2} D}{d}$

$\Rightarrow k = \frac{12 \times 600}{400} = 18$

Hence, the number of fringes observed in the same segment of the screen $= 18$

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