Unknown wavelength Ī»= 420nm
Given data
Wave length = 700nm
The fifth order overlaps the third order maximum.
The Ā problem can be solved using the idea that Ā since fifth-order maximum exactly overlaps the third-order maximum of the red light . Therefore, the value of Ā for the fifth order maxima is equal to that of third order maxima.
mĪ»=asinĪø
Here, a is the slit-width , m is the order and Īø Ā is the angular separation ā“Ī»1 [tex]m_{1}[/tex]=Ī»2 [tex]m_{2}[/tex]
[tex]700nm(3)=[/tex]Ī»2(5)
ā“Ī»2 = [tex]\frac{700(3)}{5}[/tex]
Ī»2 = 420nm
To learn more about Diffraction grating here: https://brainly.com/question/14703698
#SPJ4
