The second-order principal maximum produced by a diffraction...

The second-order principal maximum produced by a diffraction grating with a slit spacing of $1.8 \times 10^{-5} \mathrm{~m}$ is at an angle of $3.1^{\circ}$. (a) What is the wavelength of the light that shines on the grating? (b) If a grating with a smaller slit spacing is used with this light, is the angle of the second-order principal maximum greater than or less than $3.1^{\circ}$ ? Explain.

The second-order principal
maximum produced by a diffraction grating with a slit spacing of $1.8 \times 10^{-5} \mathrm{~m}$ is at an angle of $3.1^{\circ}$. (a) What is the wavelength of the light that shines on the grating?
(b) If a grating with a smaller slit spacing is used with this light, is the angle of the second-order principal maximum greater than or less than $3.1^{\circ}$ ? Explain.

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Effect of Slit Spacing on Diffraction Angles

The spacing between the slits (d) is inversely related to the angle at which a particular order maximum appears. A smaller slit spacing increases the value of the sine of the diffraction angle for the same order and wavelength, resulting in a larger diffraction angle. This concept is critical when comparing gratings with different slit spacings under the same light conditions.

Diffraction Grating

A diffraction grating is an optical component with a regular pattern of lines or slits that splits and diffracts light into several beams traveling in different directions. The directions of these beams depend on the spacing of the slits and the wavelength of the light. By analyzing the angles at which the light is diffracted, one can learn about the light's properties, such as its wavelength.

Diffraction Grating Equation

The diffraction grating equation, d sin(?) = n?, relates the slit spacing (d), the angle (?) at which a maximum occurs, the order of the maximum (n), and the wavelength of the light (?). This equation is a fundamental tool in optics for predicting where bright fringes (or principal maxima) will appear on a screen, and for calculating unknown quantities such as the light's wavelength.

Transcript

Please give Ace some feedback