Question

A source of light having two wavelengths 550 nm and 600 nm of equal intensity is incident on a slit of width 1.8μm. Find the separation of the m=1 bright spots of the two wavelengths on a screen 30.0 cm away.

Answer 1

To find the separation of the m=1 bright spots of the two wavelengths on the screen, use the formula for single-slit diffraction.

Step-by-step explanation:

To find the separation of the m=1 bright spots of the two wavelengths on the screen, we can use the formula for single-slit diffraction:

d*sin(theta) = m*lambda

where d is the slit width, theta is the angle of the mth bright spot from the central maximum, m is the order of the bright spot, and lambda is the wavelength of light.

Given that the slit width d is 1.8 μm, the screen distance L is 30.0 cm, and the two wavelengths (lambda1 and lambda2) are 550 nm and 600 nm respectively, we can now calculate the angle of the m=1 bright spot for each wavelength.