Answer:
The wavelength of this starlight is 707 nm.
Explanation:
Given that,
Distance = 2 cm
Total lines = 10000
Angle = 45°
We need to calculate the distance
[tex]d=\dfrac{2\times10^{-2}}{10000}[/tex]
[tex]d=0.000002\ m[/tex]
We need to calculate the wavelength of this starlight
Using formula of distance
[tex]d\sin\theta=n\lambda[/tex]
[tex]\lambda=\dfrac{d\sin\theta}{m}[/tex]
Put the value into the formula
[tex]\lambda=\dfrac{2\times10^{-6}\sin45}{2}[/tex]
[tex]\lambda=707\times10^{-9}\ m[/tex]
[tex]\lambda=707\ nm[/tex]
Hence, The wavelength of this starlight is 707 nm.