In: Physics

The human eye can readily detect wavelengths from about 400 nm to 700 nm.

If white light illuminates a diffraction grating having 730 lines/mm, over what range of angles does the visible m = 1 spectrum extend?

Express your answers using three significant figures separated by a comma.

θmin, θmax= ____________degrees

Given

that number of lines is \(\mathrm{N}=730\) lines \(/ \mathrm{mm}\)

\(=730000 \text { lines/ } \mathrm{m}\)

condition for diffraction maxima is

\(\sin \theta=m \lambda / d\)

here \(\mathrm{d}=1 / \mathrm{N}\)

for \(\lambda=400 \mathrm{nm}\)

$$ \begin{array}{l} \sin \theta=(730000)\left(400 \times 10^{-9}\right) \\ \theta_{\min }=16.97^{\sim} 17 \mathrm{deg} \end{array} $$

for wave length \(700 \mathrm{nm}\)

\(\sin \theta=(730000)\left(700 \times 10^{-9}\right)\)

\(\theta_{\max }=30.730 \text { deg }\)

Latest Questions

- Match the following properties of liquids to what they indicate about the relative strength of the intermolecular forces in that liquid.
- Rank each satellite based on the net force acting on it. Rank from largest to smallest.
- Complete the following program skeleton. When finished, the program will ask the user for a length (in inches), convert that value to centimeters, and display the result. You are to write the function convert.
- Write a function that accepts an int array and the array's size as arguments.
- The figure below shows a cross section across a diameter of a long cylindrical conductor
- The two 10-cm-long parallel wires in the figure are separated by 5.0 mm.
- What visible wavelengths of light are strongly reflected from a 390-nm-thick soap bubble?