A pair of narrow slits that are 1.8 mm apart is illuminated by a monochromatic coherent light source. A fringe pattern is observed on a screen 4.8 m from the slits. If there are 5.0 bright fringes/cm on the screen, what is the wavelength of the monochromatic light?

Respuesta :

Answer:

750 mm

Explanation:

Given:

d = 1.8 mm

R = 4.8 m

m = 5

y = 1

Using the equation

y = (mLR)/d ,

where,  

m gives a distance 'y' to that particular slit image.  

R = distance from the double slits to the screen

d = double slit separation distance.  

L = wavelength of the light.

substituting the values in the given equation

we get

L = [tex]\frac{1\times 1.8\times 10^{-3}}{5\times 4.8}[/tex]

or

L = 750 mm

Answer:

The wavelength of the monochromatic light is [tex]7.5\times10^{-7}\ m[/tex]

Explanation:

Given that,

Distance between the slits d = 1.8 mm

Distance of fringe from the slits D =4.8 m

Number of fringe m =1

Distance between the fringes = 1 cm

We need to calculate the wavelength of monochromatic light

Using formula of young's double slits

[tex]\lambda=\dfrac{Yd}{mD}[/tex]

Where, d = Distance between the slits

D = Distance of fringe from the slits

m = Number of fringe

y = Distance between the fringes

Put the value in to the formula

[tex]\lambda=\dfrac{1\times10^{-2}\times1.8\times10^{-3}}{5\times4.8}[/tex]

[tex]\lambda =7.5\times10^{-7}\ m[/tex]

Hence, The wavelength of the monochromatic light is [tex]7.5\times10^{-7}\ m[/tex]