Given below are some examples of wave motion. State in each case if the wave motion is transverse, longitudinal or a combination of both:
Motion of a kink in a longitudinal spring produced by displacing one end of the spring sideways.
Transverse and longitudinal
Waves produced in a cylinder containing a liquid by moving its piston back and forth.
Longitudinal
Waves produced by a motorboat sailing in water.
Transverse and longitudinal
Ultrasonic waves in air produced by a vibrating quartz crystal.
Longitudinal
Explanation
The textbook provides direct answers for each case. In (a), displacing a spring sideways creates transverse motion, but the spring can also compress along its length, creating longitudinal waves. In (b), the piston's back-and-forth motion creates compressions and rarefactions in the liquid, which is characteristic of longitudinal waves. In (c), water surface waves (capillary and gravity waves) involve both transverse and longitudinal motion of water particles. In (d), ultrasonic waves in air are sound waves, and the context clearly states that 'air can sustain only longitudinal waves.'