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.

When unpolarized light passes through a polarizer, 50% of the light intensity is transmitted.

According to Malus's law, the intensity of transmitted light is half of the original intensity when unpolarized light passes through a polarizer.

When unpolarized light passes through a polarizer, 50% of the light intensity will emerge, according to Malus's law.

When unpolarized light passes through two polarizers at 90 degrees, no light is transmitted, resulting in zero intensity.

The maximum intensity transmitted through two polarizers is given by Malus's law, which states that I = I0 * cos²(θ), where θ is the angle between the polarizers.

The eyepiece of a compound microscope is a convex lens.

The objective lens is the one closest to the object being viewed.

Increasing the number of slits increases the intensity of the maxima due to constructive interference.

Increasing the number of slits increases the sharpness of the maxima, thus decreasing the angular width.

Increasing the number of slits in a diffraction grating increases the sharpness of the maxima due to constructive interference.

The angle of diffraction is directly proportional to the order of the maximum in a diffraction grating.

In a diffraction pattern, the minima are always darker than the maxima, which have higher intensity.

Using the condition for the first minimum a sin(30°) = λ, we find the ratio a/λ = 1/√3.

The intensity of the central maximum is theoretically infinite compared to the first minimum, which has zero intensity.

The intensity of the central maximum in a diffraction pattern is at its maximum compared to other maxima.

The intensity of the central maximum in a diffraction pattern depends on both the wavelength of light and the slit width.

Fringe separation refers to the distance between two consecutive maxima in a diffraction pattern.

The order of diffraction refers to the number of maxima observed in the diffraction pattern, with the central maximum being the zeroth order.

Increasing the slit width results in a wider central maximum due to the decrease in diffraction effects.

The intensity of the central maximum is typically much greater than that of the first minimum, often approximated as 1:4.

Using the lens maker's formula, f = (R1 * R2) / (n - 1) * (1/R1 - 1/R2), we find f = 12 cm.

Fringe separation is directly proportional to the distance from the slits to the screen; increasing this distance increases fringe separation.

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

Using the formula for fringe separation, y = (λD)/d, we find y = (500 x 10^-9 m * 2 m) / (0.5 x 10^-3 m) = 2 cm.

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

Fringe width (β) is given by β = λD/d, where d is the distance between the slits. If d is doubled, β is halved.

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