Question

Two thin parallel slits that are 0.0106 mm apart are illuminated by a laser beam of wavelength 580 nm Part A For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Broadcast pattern of a radio station. How many bright fringes are there in the angular range of 0 < 0 < 25° ? Express your answer as an integer. VO AQ R O 2 ? bright fringes Submit Request Answer u Revie Submit Request Answer Two thin parallel slits that are 0.0106 mm apart are illuminated by a laser beam of wavelength 580 nm Part B For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Broadcast pattern of a radio station. How many dark fringes are there in the range given in part A? Express your answer as an integer. IVA O ?

Answer 1

Part A

There are 7 bright fringes in the angular range

Part B

There are 8 dark fringe in the angular range

Step-by-step explanation:

From the question we are told that the

distance between the slit is
`d = 0.0106 \ mm = 0.0106*10^(-3)m`

The wavelength is
`\lambda = 580nm = 580 *10^(-9)m`

The angle between the center and the brightest fringe =
`\theta = 25^o`

This destructive interference for bright fringe is mathematically represented as

`dsin\theta = \lambda n`

Where n is the number of bright fringe

Making n the subject of the formula

`n = (d sin \theta )/(\lambda)`

Substituting values

`n = (0.0106*10^(-03) sin (25))/(580 *10^(-9))`

`= 7`

The number of dark fringe is mathematically evaluated as

`n_d = (dsin \theta )/(\lambda ) +(1)/(2)`

`n_d= (0.0106 *10^(-3) sin (25))/(580*10^(-9)) + (1)/(2)`

`= 8`