Answer:
The wavelength is 754.2 nm.
Explanation:
Given that,
Diffraction pattern y= 1.35 mm
Width = 0.838 mm
Distance D= 75 cm
We need to calculate the wavelength
Using formula of diffraction pattern
[tex]y=\dfrac{m\lambda D}{d}[/tex]
[tex]\lambda=\dfrac{yd}{mD}[/tex]
Where, y = diffraction pattern
m = order
d = width
D = distance
Put the value into the formula
[tex]\lambda=\dfrac{1.35\times10^{-3}\times0.838\times10^{-3}}{2\times75\times10^{-2}}[/tex]
[tex]\lambda=7.542\times10^{-7}\ m[/tex]
[tex]\lambda=754.2\ nm[/tex]
Hence, The wavelength is 754.2 nm.
