K A Tsokos Solutions for Chapter: Waves, Exercise 4: Test yourself

A ray of light is incident on a rectangular block of glass of refractive index $1.450$ at an angle of $40°$, as shown in the diagram. The thickness of the block is $4.00 \mathrm{cm}$. Calculate the amount $d$ by which the ray is deviated.

The speed of sound in air is $340 \mathrm{m} {\mathrm{s}}^{-1}$ and in water it is $1500 \mathrm{m} {\mathrm{s}}^{-1}$. Determine the angle at which a beam of sound waves must hit the air–water boundary so that no sound is transmitted into the water.

Planar waves of wavelength $1.0 \mathrm{cm}$ approach an aperture whose opening is also $1.0 \mathrm{cm}$. Draw the wavefronts of this wave as they emerge through the aperture.

A radio station, $R$, emits radio waves of wavelength $1600 \mathrm{m}$ which reach a house, $H$, directly and after reflecting from a mountain, $M$, behind the house (see diagram). The reception at the house is very poor. Estimate the shortest possible distance between the house and the mountain. (Pay attention to phase changes.)