Destructive interference occurs when the path difference is an odd multiple of λ/2 (i.e., (2n+1)λ/2).

At destructive interference, the intensity is zero because the waves cancel each other out.

Distance between fringes = (λD)/d = (600 x 10^-9 m * 2 m) / (0.3 x 10^-3 m) = 0.004 m = 0.4 m.

Increasing the wavelength increases the fringe width, causing the fringes to move further apart.

Fringe separation β = λD/d = (500 x 10^-9 m)(2 m)/(0.1 x 10^-3 m) = 0.01 m.

Fringe separation (β) = λD/d. β = (600 x 10^-9 * 2) / 0.0001 = 0.012 m. Distance between first and second bright fringes = 2β = 0.024 m.

Fringe width (β) = (λD)/d = (600 x 10^-9 * 2)/(0.1 x 10^-3) = 0.012 mm = 0.06 mm.

When two coherent sources are in phase, they produce constructive interference, resulting in bright fringes.

When two coherent sources are in phase, they produce constructive interference, resulting in bright fringes.

The phase difference (Δφ) is given by (2π/λ) * path difference. For a path difference of λ/4, Δφ = (2π/λ) * (λ/4) = π/2 radians.

A path difference of λ/2 corresponds to a phase difference of π radians, leading to destructive interference.

A path difference of λ/2 results in destructive interference, as the waves will be out of phase.

A phase difference of π radians results in destructive interference.

Constructive interference occurs when the path difference is nλ, where n is an integer.

Destructive interference occurs when the phase difference is π rad.

For destructive interference, the resultant amplitude is zero when two equal amplitudes cancel each other out.

Maximum intensity (I_max) = 4A^2 for two waves of equal amplitude A.

Fringe width β = λD/d = (600 x 10^-9 m)(1 m)/(0.2 x 10^-3 m) = 0.003 m = 0.6 mm.

Distance between fringes = β = λD/d. For first and second bright fringes, the distance is 2β.

Fringe width (β) is inversely proportional to the distance between the slits (d). If d is doubled, β is halved.

Increasing the distance between the slits decreases the fringe width, which can lead to more visible fringes within a given distance on the screen.

Increasing the distance between the slits (d) causes the fringe width (β) to decrease, making the fringes narrower.

Increasing the distance to the screen increases the fringe width, as fringe width is proportional to the distance from the slits.

Increasing the distance to the screen increases the fringe width, as fringe width is proportional to the distance from the slits.

Fringe separation is directly proportional to the distance from the slits to the screen (D), so increasing D increases the fringe separation.

At the first minimum, the intensity is 0 due to destructive interference.

Moving the screen further away increases the distance (D) in the fringe width formula, causing the fringes to become wider.

Moving the screen further away increases the fringe spacing, as fringe width is directly proportional to the distance from the slits.

Fringe width β = λD/d = (600 x 10^-9 m)(1 m)/(0.5 x 10^-3 m) = 0.12 mm.

Moving one of the mirrors changes the path length for one of the beams, causing a shift in the interference pattern.