Question

In a diffraction experiment, a coherent light source illuminates a pair of identical slits in a barrier, and the resulting pattern is projected on a screen that is separated from the barrier by 2.05 m. A student sketches the pattern that appears on the screen. The locations of the centers of the bright and dark fringes are accurate, but the shading is only qualitative. The color chosen may not be an ideal match to the actual light source. TITUTE THI HT -50.0 -40.0 -30.0 -20.0 -10.0 0.0 10.0 20.0 30.0 40.0 50.0 y (cm) * 25% Part (a) Enter the ratio of the slit separation, d, to the slit width, D, as a whole number. d = D TT 7 8 9 HOME E 4 5 6 sino cos tan cotano asin acos atan acotan sinh cosho tanh) cotanh O Degrees Radians 1 2 3 + 0 END . VO BACKSPACE DE CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 0% deduction per feedback. A 25% Part (b) Calculate and enter the ratio of the slit width to the wavelength of the light source. A 25% Part (C) If the slit separation is 17 um, then calculate and enter the wavelength, in nanometers, of the light source. 25% Part (d) What is the slit width, in micrometers?

Answer 1

To find the width of the slit in a single-slit diffraction experiment, you can use the equation: slit width = (wavelength * distance from slit to screen) / width of central peak.

Step-by-step explanation:

Diffraction is a phenomenon that occurs when light waves pass through a narrow slit and spread out into a pattern. The width of the central peak in a single-slit diffraction pattern can be used to determine the width of the slit. This relationship is given by the equation:

Width of central peak = (wavelength * distance from slit to screen) / slit width

To calculate the width of the slit, we can rearrange the equation:

Slit width = (wavelength * distance from slit to screen) / Width of central peak

Substituting the given values into the equation, we can find the width of the slit.