Question

. Monochromatic light illuminates two slits that are 0.33 mm apart. The adjacent bright lines of the interference pattern on a screen 2.30 m away from the slits are 0.44 cm apart. What is the wavelength of the light

Answer 1

the wavelength of the light is 6.313 × 10⁻⁷ m

Step-by-step explanation:

Given the data in the question;

for a double slit interference;

θ = nλ/d

for adjacent lines

θ = λ/d

and d = 0.33 mm = 0.00033 m

and θ = 0.44 × 10⁻² m / 2.30 m

so

λ = θ × d

λ = ( 0.44 × 10⁻² m / 2.30 m ) × 0.00033 m

λ = 0.001913043478 × 0.00033 m

λ = 6.313 × 10⁻⁷ m

Therefore, the wavelength of the light is 6.313 × 10⁻⁷ m