Optics Question 1141

Question: The two slits at a distance of 1 mm are illuminated by the light of wavelength $ 6.5\times {{10}^{-7}}m $ . The interference fringes are observed on a screen placed at a distance of 1m. The distance between third dark fringe and fifth bright fringe will be

[NCERT 1982; MP PET 1995; BVP 2003]

Options:

A) 0.65 mm

B) 1.63 mm

C) 3.25 mm

D) 4.88 mm

Show Answer

Answer:

Correct Answer: B

Solution:

Distance between $ n^{th} $ Bright fringe and $ m^{th} $ dark fringe $ (n>m) $

$ \Delta x=( n-m+\frac{1}{2} )\beta =( 5-3+\frac{1}{2} )\times \frac{6.5\times {{10}^{-7}}\times 1}{1\times {{10}^{-3}}} $ = $ 1.63mm $



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें