Q144 / 160 · TS EAMCET 2018 (04 May Shift 1) · Physics

Interference fringes are obtained in a Young double slit experiment using beam of light consisting two wavelengths 500 nm and 600 nm. Bright fringes due to both wavelengths coincide at 2.5 mm from the central maximum. If the separation between the slits is 3 mm, then the distance between the screen and plane of the slits is

  • A
    1.2 m
  • B
    2.8 m
  • Correct answer
    C
    2.5 m
  • D
    3.2 m

Solution

We know, y=n1λ1Dd=n2λ2Dd

⇒ n1λ1=n2λ2

⇒ n1500nm=n2600nm

⇒ 5n1=6n2

∴ n1=6, n2=5     ∴  n1≠0, n2≠0

Consider;

y=n1λ1Dd

⇒ 2.5 mm=6×500nm3mm×D

⇒ D=2.5×3×10-66×500×10-9

∴ D=2.5 m

Hence, the correct answer is option: 'C'.

Relevant Questions