Answer:
The wavelength of light is [tex]4.53\times10^{-7}\ m[/tex]
Explanation:
Given that,
Angle = 13.1°
Number of slits = 5000
We need to calculate the wavelength of light
Diffraction of first order is defined as,
[tex]d \sin\theta=n\lambda[/tex].....(I)
The separation of the slits
[tex]d = \dfrac{1}{N}[/tex]
[tex]d=\dfrac{1}{5000}[/tex]
[tex]d=2\times10^{-6}\ m[/tex]
Now put the value in equation (I)
[tex]2\times10^{-6}\sin13.1^{\circ}=\lambda[/tex]
Here, n = 1
[tex]\lambda=4.53\times10^{-7}\ m[/tex]
Hence, The wavelength of light is [tex]4.53\times10^{-7}\ m[/tex]
