Respuesta :
Answer:
Slit separation, [tex]d=3.25\times 10^{-4}\ m[/tex]
Explanation:
It is given that,
Wavelength of laser light, [tex]\lambda=650\ nm=650\times 10^{-9}\ m[/tex]
Distance between pattern and the wall, L = 1.5 m
The spacing between 10 bright fringes is, y = 3 cm = 0.03 m
We need to find the separation between the slits. According to the equation of diffraction law :
[tex]d\ sin\theta=n\lambda[/tex]
Where
d is the separation between the slits
For smaller angles, [tex]sin\theta=tan\theta=\dfrac{y}{L}[/tex]
[tex]d(\dfrac{y}{L})=n\lambda[/tex]
[tex]d=\dfrac{n\lambda L}{y}[/tex]
[tex]d=\dfrac{10\times 650\times 10^{-9}\times 1.5}{0.03}[/tex]
d = 0.000325 m
or
[tex]d=3.25\times 10^{-4}\ m[/tex]
So, the separation between the slits is [tex]3.25\times 10^{-4}\ m[/tex]. Hence, this is the required solution.
