Question

A hydrogen gas discharge lamp emits visible light at four wavelengths, λ= 410, 434, 486, and 656 nm.

(a) If light from this lamp falls on a N slits separated by 0.025 mm, how far from the central maximum are the third maxima when viewed on a screen 2.0 m from the slits?
(b) By what distance are the second and third maxima separated for l=486nm?

Answer 1

To find the distance from the central maximum to the third maxima on a screen, use the formula: d = (λL) / (N * d). For the distance between the second and third maxima for a specific wavelength, use the same formula.

Step-by-step explanation:

In order to calculate the distance from the central maximum to the third maxima on a screen, we can use the formula:

d = (λL) / (N * d)

where d is the distance between the maxima, λ is the wavelength of the light, L is the distance from the slits to the screen, N is the number of slits, and d is the separation between the slits. Plugging in the given values, we can find the distance.

For part (b), the distance between the second and third maxima for a specific wavelength can be calculated using the formula:

d = (λL) / (N * d)

where the variables have the same meanings as before. Plugging in the given values and the specific wavelength, we can find the distance.