Light from a helium-neon laser (? = 633 nm) is used to illuminate two narrow slits....

Light from a helium-neon laser

(? = 633 nm) is used to illuminate two narrow slits. The interference pattern is observed on a screen 3.3m behind the slits. Eleven bright fringes are seen, spanning a distance of 54mm .

What is the spacing (in mm) between the slits?

Solutions

Expert Solution

wavelength Light from a helium-neon laser

? = 633 x 10 ^-9 m

Distance of th screen from slits D = 3.3 m

Spanning distance y = 54 mm = 54 x 10 ^-3 m

No.of bright finges seen = 11

It si known by the formual for ,

total spaning distance between 11 fringes is :

y = (11-1) ? = 10?

but , ? = ?D / d

So, y = 10 ?D / d

from this spacing between slits:

d = 10 ?D / y

= 10( 633 x 10 ^-9 )(3.3)/54 x 10 ^-3

= 386.83x10^-6 m

= 0.387 mm (rounded)

genius_generous answered 1 year ago

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