A transmission grating is a square of side of 2 cm, and is an opaque screen containing parallel equally spaced transmitting slits with 200 slits per mm. Light is incident on the grating at normal incidence with a beam area of 1 cm × 1 cm. a) Calculate the angles of diffraction for light of 450 nm and 600 nm at second order.

A first-order Bragg reflection maximum is observed when a monochromatic X-ray falls on a crystal at a 32.3° angle to a reflecting plane. What is the wavelength of this X-ray?

A transparent film of thickness 250 nm and index of refraction of 1.40 is surrounded by air. What wavelength in a beam of white light at near-normal incidence to the film undergoes destructive interference when reflected?

What are the angular positions of the first and second minima in a diffraction pattern produced by a slit of width 0.20 mm that is illuminated by 400 nm light? What is the angular width of the central peak?

What is the wavelength of light falling on double slits separated by 2.00 m if the third-order maximum is at an angle of 60.0° ?

Suppose that the highest order fringe that can be observed is the eighth in a double-slit experiment where 550-nm wavelength light is used. What is the minimum separation of the slits?

The analysis shown below also applies to diffraction gratings with lines separated by a distance d. What is the distance between fringes produced by a diffraction grating having 125 lines per centimeter for 600-nm light, if the screen is 1.50 m away? (Hint: The distance between adjacent fringes is y=x/d , assuming the slit separation d is comparable to ?.)

If a microscope can accept light from objects at angles as large as =70 , what is the smallest structure that can be resolved when illuminated with light of wavelength 500 nm and (a) the specimen is in air? (b) When the specimen is immersed in oil, with index of refraction of 1.52?

Find the angle for the third-order maximum for 580-nm-wavelength yellow light falling on a difraction grating having 1500 lines per centimeter.

What is the separation between two slits for which 610-nm orange light has its first maximum at an angle of 30.0°?