Question

When green light, wavelength 550 nm, is incident on a single slit, and the screen is 3.55m distant from the slit, calculate the slit width.

a) 0.002 mm
b) 0.085 mm
c) 0.17 mm
d) 0.34 mm

Answer 1

To calculate the slit width, use the equation sin(θ) = mλ / d, where θ is the angle of the diffraction minimum, m is the order of the minimum, λ is the wavelength of the light, and d is the distance between the screen and the slit. Plugging in the values, the width of the slit is approximately 0.002 mm (option a).

Step-by-step explanation:

To calculate the slit width, we can use the equation:

sin(θ) = mλ / d

Where θ is the angle of the diffraction minimum, m is the order of the minimum (in this case 2), λ is the wavelength of the light (550 nm), and d is the distance between the screen and the slit (3.55 m).

Rearranging the equation, we can solve for d:

d = mλ / sin(θ)

Plugging in the values, the width of the slit is approximately 0.002 mm (option a).