Question

Light of wavelength 519 nm passes through two slits. In the interference pattern on a screen 4.6 m away, adjacent bright fringes are separated by 4.0 mm. What is the separation of the two slits

Answer 1

The appropriate solution is "0.597 mm".

Step-by-step explanation:

Given that:

Wavelength,

`\lambda = 519 \ nm`

or,

`=519* 10^(-9)`

Distance,

`D=4.6 \ m`

Separated by,

`\beta = 4.0 \ mm`

or,

`=4.0* 10^(-3)`

As we know,

⇒
`\beta=(\lambda D)/(d)`

or,

The separation of two slits will be:

⇒
`d=(\lambda D)/(\beta)`

By putting the values, we get

`=((519* 10^(-9))(4.6))/(4.0* 10^(-3))`

`=5.97* 10^(-4)`

or,

`=0.597 \ mm`