Physics, asked by nirajanamongal3945, 1 year ago

In Young's double slit experiment the separtion d between the slits is 2 mm, the wavelength λ of the light used is 5896 Å and distance D between the screen and slits is 100 cm. It is found that the angular width of the fringes is 0.20°. To increase the fringe angular width to 0.21° (with same λ and D) the separation between the slits needs to be changed to
(1) 1.8 mm (2) 1.7 mm (3) 2.1 mm (4) 1.9 mm

Answers

Answered by SunTheHelpingHand
27

Angular Width=lambda/d

So, 0.20°= lambda/2mm

So lambda=0.20°×2

lambda/d=0.21°(given)

Now substituting value of lambda,

d=(0.20°×2mm)/0.21°= 1.9mm

So D)

Hope it helped u ☺️


PSN03: this question is of which class?
SunTheHelpingHand: 12th
Answered by Anonymous
4

The separation between the slits needs to be changed to 1.9mm

Separation between the slits = d = 2mm (Given)

Wavelength of the light = 5896Å (Given)

Distance between the screen and slit = 100cm (Given)

Angular width = λ/d

Thus,

0.20° = λ/2

λ = 0.20° × 2

0.21° = λ/d

Substituting the value of λ

d = 0.20° × 2 / 0.21°

d = 1.9

Thus, the separation needs to be changed to 1.9mm

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