Question

How many bright fringes can be formed on either side of the central bright fringe when light of wavelength 597.0 x 10 -9m falls on a double slit whose slit separation is 1.7 x 10 -6 m?

a. m = 6
b. m = 3
c. m = 9
d. m = 12

Answer 1

The number of bright fringes on either side of the central bright fringe can be determined using the formula m = (dsinθ) / λ. By substituting the given values, the answer is 9.

Step-by-step explanation:

The number of bright fringes that can be formed on either side of the central bright fringe in a double-slit experiment can be determined using the formula:

m = (dsinθ) / λ

where m is the order of the bright fringe, d is the slit separation, θ is the angle, and λ is the wavelength of light.

In this case, the slit separation is given as 1.7 x 10-6 m and the wavelength is given as 597.0 x 10-9 m. The maximum angle, θ, for bright fringes is typically given by:

sinθ = mλ / d

By substituting the given values into the formula, we can determine the number of bright fringes on either side of the central bright fringe to be 9 (c).