91Ó°ÊÓ

Structures on a bird feather act like a reflection grating having 8000 lines per centimeter. What is the angle of the first-order maximum for 600 -nm light?

(a) What visible wavelength has its fourth-order maximum at an angle of \(25.0^{\circ}\) when projected on a 25,000 -line-percentimeter diffraction grating? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?

(a) At what angle is the first minimum for \(550 -nm\) light falling on a single slit of width \(1.00 \mu \mathrm{m}\) ? (b) Will there be a second minimum?

(a) Calculate the angle at which a 2.00 - \(\mu\) m -wide slit produces its first minimum for \(410\) -\(\mathrm{nm}\) violet light. (b) Where is the first minimum for \(700\) -\(\mathrm{nm}\) red light?

(a) How wide is a single slit that produces its first minimum for 633 -nm light at an angle of \(28.0^{\circ} ?\) (b) At what angle will the second minimum be?

(a) What is the width of a single slit that produces its first minimum at \(60.0^{\circ}\) for 600 -nm light? (b) Find the wavelength of light that has its first minimum at \(62.0^{\circ}\)

Calculate the wavelength of light that produces its first minimum at an angle of \(36.9^{\circ}\) when falling on a single slit of width \(1.00 \mu \mathrm{m}\).

(a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width \(7.50 \mu \mathrm{m}\). At what angle does it produces its second minimum? (b) What is the highest-order minimum produced?

(a) Find the angle of the third diffraction minimum for \(633-\mathrm{nm}\) light falling on a slit of width \(20.0 \mu \mathrm{m}\). (b) What slit width would place this minimum at \(85.0^{\circ}\) ? Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Optics.

(a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and \(589.6 \mathrm{nm},\) when they fall upon a single slit of width \(2.00 \mu \mathrm{m}\)