Answer:
The angle of the fourth order maximum is 1.027 degrees.
Explanation:
It is given that,
Wavelength of red laser, [tex]\lambda=740\ nm=740\times 10^{-9}\ m[/tex]
Slit separation, [tex]d=0.165\ mm= 0.000165\ m[/tex]
We need to find the angle of the fourth order maximum. For maximum, the equation is given by :
[tex]d\ sin\theta=n\lambda[/tex]
[tex]sin\theta=\dfrac{n\lambda}{d}[/tex]
[tex]sin\theta=\dfrac{4\times 740\times 10^{-9}}{0.000165}[/tex]
[tex]\theta=1.027^{\circ} [/tex]
So, the angle of the fourth order maximum is 1.027 degrees. Hence, this is the required solution.