Answer:
The path difference is [tex]2.53 \times 10^{-6}[/tex] m
Explanation:
Given:
Wavelength of light [tex]\lambda = 507 \times 10^{-9}[/tex] m
Distance between slit and screen [tex]D = 1.32[/tex] m
Distance between two slit [tex]d = 0.112 \times 10^{-3}[/tex] m
Order of interference [tex]n = 5[/tex]
From the formula of interference of light,
[tex]d\sin \theta = n\lambda[/tex]
Where [tex]d \sin \theta =[/tex] path difference, [tex]n =[/tex] order of interference
Here we have to find path difference,
Path difference [tex]= 5 \times 507 \times 10^{-9}[/tex] m
Path difference [tex]= 2.53 \times 10^{-6}[/tex] m
Therefore, the path difference is [tex]2.53 \times 10^{-6}[/tex] m
