MHT CET202020 Oct 2020Morning ShiftPhysicsWave OpticsActual
In Young's double slit experiment, the distance between the slits is 3 ~mm and the slits are 2 ~m away from the screen. Two interference patterns can be obtained on the screen due to light of wavelength 480 ~nm and 600 ~nm respectively. The separation on the screen between the 5^ th order bright fringes on the two interference patterns is
Options
- A6 10⁻⁴ ~m
- B8 10⁻⁴ ~m
- C12 10⁻⁴ ~m
- D4 10⁻⁴ ~m
Correct answer
D. 4 10⁻⁴ ~m
Step-by-step solution
d =3 ~mm =3 10⁻³ ~m D=1 ~m ₁=480 ~nm ₂=600 ~nm ¹ y ₅=5 ₁ D d ² y ₅=5 ₂ D d ² y₅- ¹ y₅= 5 D d (600-480) n m= 5 2 3 10⁻³ 120=10 10⁻³⁺¹ 4=4 10⁵⁻⁹=4 10⁻⁴=0.4 ~mm