Question

A laser shines on a pair of vertical slits. The horizontal distance l_1 between the laser and the ruler is 12.3 m. The distance l_2 between the laser and the slits is 0.511 m. The distance d is 0.250 mm. Calculate the wavelength lambda of the light.

Answer 1

The wavelength of the light is 51.5 nm.

Step-by-step explanation:

To calculate the wavelength of the light, we can use the equation d*sin(Θ) = m*λ where d is the distance between the slits, Θ is the angle of the bright line on the screen relative to the incident beam, m is the order of the bright line, and λ is the wavelength of the light. In this case, the distance between the slits is given as 0.250 mm.

Solving the equation for λ, we have λ = d*sin(Θ)/m. Plugging in the values, we get λ = (0.250*10^-3 m) * sin(18.0°)/3, which gives a wavelength of approximately 51.5 nm.