In young's double slits experiment, the condition for constructive interference is

Explanation

The correct answer is Option B: d sin θ = mλ.In Young's double-slit experiment, constructive interference occurs when the path difference between the two light waves is an integer multiple of the wavelength. This is represented by the equation d sin θ = mλ, where d is the distance between the slits, θ is the angle of the interference pattern, m is an integer (0, 1, 2, ...), and λ is the wavelength of light.Option A is incorrect because it suggests a condition not applicable to interference. Option C is incorrect as it describes destructive interference, where the path difference is an odd multiple of half the wavelength. Option D is incorrect because it suggests a non-standard condition that does not accurately represent the interference principles in Young's experiment.