Red light from three separate sources passes through a diffraction grating with 3.60 × 10° slits/m. The wave- lengths of the three lines are 6.56 × 10-7 m (hydrogen), 6.50 x 10-7 m (neon), and 6.97 × 10-7m (argon). Calculate the angles for the first-order diffraction line of each source.

Light of wavelength λ = 610 nm and intensity I0 = 240 W/m2 passes through a slit of width w = 4.8 μm before hitting a screen L = 1.6 meters away. Part (a) Use the small-angle approximation to write an equation for the phase difference, β, between rays that pass through the very top and very bottom of the slit when the rays hit a point y = 46 mm above the central maximum.   Part (b)  Calculate this phase difference, in radians?  Part (c)  What is the intensity of the light, in watts per square meter, at this point?

When salt is sprinkled on a flame, yellow light consisting of two closely space wavelengths 11=588.997 nm and 12=589.594 nm are produced (they were observed by Fraunhofer in the Sun's spectrum). a) If this light falls on a diffraction grating with 300 lines/mm (pay attention to the units!), what is the angle between the 2nd order spectra of these two wavelengths? b) How many lines N of this grating must be illuminated for these lines to just be resolved?

In a double-slit experiment, monochromatic light of wavelength 506. nm is incident on identical parallel slits of width 0.410 mm and separated by a distance of 0.550 mm. The interference pattern is observed on a screen 2.26 m from the slits. The intensity at the center of the central maximum is 7.36 mW/m². What is the intensity (in mW/m²) at a point on the screen that is 0.810 mm from the center of the central maximum? i mW/m²

2. A 50-cm tall fish tank is 3/4 full with oil and exposed to the air. A laser beam with a wavelength of 6333 Å (633.3 nm) is incident on the surface of the oil at an angle of 20° above the surface. (a) How far does the laser beam travel in the oil? (b) How long after striking the surface of the oil does it take for the laser beam to reach the bottom of the tank? Note- the index of refraction for the oil is 1.48. [Answer: (a) d = 0.49 m; (b) At = 2.4 × 10-9 s]

The intensity of the single-slit diffraction pattern at any angle 0 is given by 1 (0) = 1m (sing)². For light of wavelength 480 nm falling on a slit of width 3.5 µm, what is the value of a when 8 = 18°? 7.1 rad 0.31 rad 7.3 rad 2.3 rad 9.8 rad

A light of wavelength 700 nm illuminates a diffraction grating. 2nd order maximum is at 55°. What is the number of gratings per cm? 854.5 lines/cm 585.1 lines/cm 1709 lines/cm 85450 lines/cm 11702 lines/cm 5851.4 lines/cm 170900 lines/cm

The pupil of an eagle's eye has a diameter of 6.0 mm. Two field mice are separated by 0.010 m. From a distance of 197 m, the eagle sees them as one unresolved object and dives toward them at a speed of 20 m/s. Assume that the eagle's eye detects light that has a wavelength of 550 nm in vacuum. How much time passes until the eagle sees the mice as separate objects? t= i

The hydrogen spectrum has a red line at 656 nm and a violet line at 434 nm. What angular separation between these two spectral lines is obtained with a diffraction grating that has 4014 lines/cm? (Assume that the light is incident normally on the grating.) first order separation      ° second order separation      ° third order separation      °

Which of these is the theoretical maximum number of bright fringes visible in the diffraction pattern when green (I = 500 nm) light shines through double slits separated by 2.1 * 10^-6m?