AP EAMCET201923 Apr 2019Morning ShiftPhysicsWave OpticsActual
In a Young's double slit experiment, light of wavelength (5900 Å ) is used. When the slits are (2 ~mm ) apart, the fringe width is (1.2 ~mm ). If the slit separation is increased to one and half times the previous value, then the fringe width will be
Options
- A(0.9 ~mm )
- B(0.8 ~mm )
- C(1.8 ~mm )
- D(1.6 ~mm )
Correct answer
B. (0.8 ~mm )
Step-by-step solution
In a Young's double slit experiment, wavelength of light, ( =5900 Å ) and distance between the slits, (d₁=d=2 10⁻³ ~m ), Fringe width, ( ₁=1.2 10⁻³ ~m ) and (d₂= 3 2 ~d ) As, the fringe width, ( = D d ) So, ( ₁= ₁ D₁ d₁ ) and ( ₂= ₂ D₂ d₂ ) Given, ( ₁= ₂ ) and (D₁=D₂ ₁ ₂ = d₂ d₁ ) Putting the given values, we get ( 1.2 10⁻³ ₂ = 3 2 d d ₂=0.8 ~mm ) Hence, the correct option is (b).