HSC Science (Computer Science) 12th Board ExamMaharashtra State Board
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Calculate Width of the Slit and Width of the Central Maximum. - HSC Science (Computer Science) 12th Board Exam - Physics

ConceptFraunhofer Diffraction Due to a Single Slit

Question

In a single slit diffraction pattern, the distance between first minima on the right and first minima on the left of central maximum is 4 mm. The screen on which the pattern is displaced, is 2m from the slit and wavelength of light used is 6000Å. Calculate width of the slit and width of the central maximum.

Solution

Given:- λ = 6000 Å = 6 x 10-7 m,

D = 2 m,

X1 + X2 = 4 mm = 4 x 10-3 m

To find:- Width of slit (a)

Width of central maximum (W)

Formula:-

i. X_1+X_2=(2lambdaD)/a

ii. W = X1 + X2

Calculation: From formula (i),

4xx10^-3=(2xx6xx10^-7xx2)/a

therefore a=6xx10^4m

The width of the slit is 6 x 10-4 m.

From formula (ii),

Width of central maximum = 4 x 10-3 m

The width of the central maximum is 4 x 10-3 m.

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APPEARS IN

2014-2015 (October) (with solutions)
Question 8.4 | 3.00 marks
Solution Calculate Width of the Slit and Width of the Central Maximum. Concept: Fraunhofer Diffraction Due to a Single Slit.
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