1. Periodic waves in deep water have a wavelength of 2.7 mm. The waves then hit a boundary at an angle of 35° and the waves then have a wavelength of 2.2 mm in the shallow water. With what angle does the water propagate into the shallow water? Use the circle below to draw the waves in the ripple tank.
  2. Periodic waves in deep water have a wavelength of 8.0 mm. The waves then hit a boundary at an angle of 42° and the waves then have a wavelength of 3.0mm in the shallow water. With what angle does the water propagate into the shallow water? Use the circle below to draw the waves in the ripple tank.
  3. The speed and the wavelength of a water wave on deep water are 18.0cm/s and 2.0cm, respectively.  If the speed in shallow water is 10.0cm/s, what is the corresponding wavelength?
  4. A wave travels 0.75 times as fast in shallow water as it does in deep water.  What will the wavelength of the wave in deep water be, if its wavelength is 2.7 cm in shallow water?
  5. A 10. Hz water wave travels from deep water, where its speed is 40. cm/s, to shallow water where its speed is 30. cm/s.  The angle of incidence is 30°.  Find
    1. the index of refraction,
    2. the wavelengths of the two media, and
    3. the angle of refraction in shallow water.
  6. Water waves travelling at a speed of 28cm/s enter deeper water at an angle of incidence of 40°.  What is the speed in the deeper water if the angle of refraction is 46°?
  7. The velocity of a sound wave in cold air is 320m/s, and in warm air, 384m/s.  If the wavefront in cold air is nearly linear, what will be the angle of refraction in the warm air if the angle of incidence is 30°?