. Compare various wave types by sketching each of the following waves that are on a spring: a. a pulse wave that is longitudinal b. a periodic wave that is longitudinal c. a pulse wave that is transverse d. a periodic wave that is transverse . Draw a graph for each of the waves described in items (b) and (d) above, and label the y- axis of each graph with the appropriate variable. Label the following on each graph: crest, trough, wavelength, and amplitude. Compare the two graphs. . If the amplitude of a sound wave is increased by a factor of four, how does the energy carried by the sound wave in a given time interval change? . The smallest insects that a bat can detect are approximately the size of one wavelength of the sound the bat makes. What is the minimum frequency of sound waves required for the bat to detect an insect that is 0.57 cm long? (Assume the speed ofsound is 340 m/s.)