Question

Monochromatic light from a laser passes through two slits separated by 0.00800 mm. The third bright line on a screen is formed at an angle of 16.0

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relative to the incident beam. What is the wavelength of the light? Green 73.5 nm 110 nm 735 nm 1100 nm`

Answer 1

To find the wavelength of the monochromatic light passing through two slits, we can use the equation for the interference pattern:

λ = (d * sinθ) / m

Where:

λ is the wavelength of light,

d is the separation between the slits,

θ is the angle at which the bright line is formed relative to the incident beam,

m is the order of the bright line.

In this case, we are given:

d = 0.00800 mm = 0.00800 × 10^(-3) m

θ = 16.0°

m = 3 (since it's the third bright line)

Plugging in these values, we can calculate the wavelength:

λ = (0.00800 × 10^(-3) m * sin(16.0°)) / 3

Calculating this expression gives us:

λ ≈ 73.5 nm

Therefore, the wavelength of the light is approximately 73.5 nm.