Select your language

Suggested languages for you:
Log In Start studying!
Answers without the blur. Sign up and see all textbooks for free! Illustration


Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 958

Answers without the blur.

Just sign up for free and you're in.


Short Answer

One day, after pulling down your window shade, you notice that sunlight is passing through a pinhole in the shade and making a small patch of light on the far wall. Having recently studied optics in your physics class, you're not too surprised to see that the patch of light seems to be a circular diffraction pattern. It appears that the central maximum is about across, and you estimate that the distance from the window shade to the wall is about . Estimate (a) the average wavelength of the sunlight (in ) and (b) the diameter of the pinhole (in ).

a) The average wavelength of the sunlight

b) The diameter of the pinhole

See the step by step solution

Step by Step Solution

Step 1: Average Wavelength

vaguely remember that when using λ and aperture diameter D, the expression for the wavelength of the beams emanating from a completely circular probe at position L from the pupil is

This means that the beam diameter is linearly proportional to the wavelength used. Therefore, if we want to consider an average wavelength used, assuming the intensity per wavelength was constant, this average will be just the simplest arithmetic mean; in our case, half the sum of the lowermost and uppermost wavelengths of the visible spectrum . That is,

Step 2: Diameter

They can already obtain the aperture's length as


Most popular questions for Physics Textbooks


Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.