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  1. AP Physics 2 Revised
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What is the effect of increasing the slit separation (d) in double-slit interference?

The fringe spacing decreases.

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What is the effect of increasing the slit separation (d) in double-slit interference?

The fringe spacing decreases.

What is the effect of increasing the wavelength (lambdalambdalambda) of light in double-slit interference?

The fringe spacing increases.

What happens when white light is used instead of monochromatic light in double-slit experiment?

The central fringe is white, but the other fringes are dispersed into a spectrum of colors.

What is the effect of increasing the number of slits in a diffraction grating?

The bright fringes become sharper and more intense.

What happens if the path length difference is an integer multiple of the wavelength?

Constructive interference occurs, resulting in a bright fringe.

What happens if the path length difference is a half-integer multiple of the wavelength?

Destructive interference occurs, resulting in a dark fringe.

Describe the process of double-slit interference.

Monochromatic light passes through two narrow slits, each slit acts as a coherent source, the light waves interfere constructively and destructively, creating a pattern of bright and dark fringes on a screen.

How does a diffraction grating disperse white light?

White light passes through the grating, each wavelength diffracts at a slightly different angle, red light (longest wavelength) diffracts the most, violet light (shortest wavelength) diffracts the least, creating a spectrum of colors.

Outline the steps to calculate the position of the mth order maximum in double-slit interference.

  1. Determine wavelength (lambdalambdalambda), slit separation (d), and distance to the screen (L). 2. Use the formula: yextmax=fracmlambdaLdy_{ ext{max}} = frac{mlambda L}{d}yextmax​=fracmlambdaLd, where m = 0, 1, 2,... is the order of the maximum. 3. Substitute the values and solve for yextmaxy_{ ext{max}}yextmax​.

Describe the process of creating an interference pattern with a diffraction grating.

Monochromatic light is incident on the grating, each slit acts as a coherent source, the light waves interfere constructively at specific angles, creating bright spots at those angles.

What are the steps to determine the wavelength of light using a diffraction grating?

  1. Shine the light through the diffraction grating. 2. Measure the angle (hetahetaheta) to a specific order maximum (m). 3. Use the grating equation: dsinheta=mlambdad sin heta = m lambdadsinheta=mlambda and solve for lambdalambdalambda.

Compare and contrast double-slit interference and single-slit diffraction.

Double-slit: Two coherent sources, creates evenly spaced fringes. Single-slit: One slit, creates a central maximum wider than other fringes, with decreasing intensity.

What are the key differences between interference patterns produced by double slits and diffraction gratings?

Double slits: Fewer, broader fringes. Diffraction gratings: Sharper, more distinct fringes, higher resolution.