contestada

Monochromatic light falling on two slits 1.5x10^-2 mm apart produces the fifth-order fringe at an 8.9° angle. What is the wavelength of the light used? Express your answer using two significant figures.

Respuesta :

Answer:

Wavelength will be [tex]0.464\mu m[/tex]

Explanation:

We have given distance between the two slits [tex]d=1.5\times 10^{-2}mm=1.5\times 10^{-5}m[/tex]

Angle [tex]\Theta =8.9^{\circ}[/tex]

We know that for nth order fringe [tex]dsin\Theta =n\lambda[/tex]

In question it is given that 5th order so n =5

So [tex]1.5\times 10^{-5}sin\8.9 =5\lambda[/tex]

[tex]\lambda =.464\times 10^{-6}m=0.464\mu m[/tex]

So wavelength will be [tex]0.464\mu m[/tex]