Final answer:
The interference pattern on the screen will become farther apart (option d) if the distance between the slits and the screen is increased.
Step-by-step explanation:
The interference pattern on the screen will become farther apart if we increase the distance between the slits and the screen in a double slit interference experiment.
This is because the interference pattern is determined by the equation d sin θ = mλ, where d is the distance between the slits, θ is the angle of the diffracted light, m is an integer representing the order of the bright fringe, and λ is the wavelength of the light.
If we increase the distance d, the value of sin θ decreases, which means that the angle θ gets smaller. As a result, the bright fringes on the screen will spread out and become farther apart.