Final answer:
To produce a transverse wave in a stretched coiled spring, impart side-to-side or up-and-down motion. For a longitudinal wave, impart back-and-forth motion, involving compression and rarefaction of the spring.
Step-by-step explanation:
When imparting motion to a stretched coiled spring to create a wave, the type of motion will dictate if a transverse wave or longitudinal wave is produced. To generate a transverse wave, you should provide side-to-side or up-and-down motion (Answer A). This means that the medium oscillates perpendicular to the direction the wave travels, such as moving the spring vertically while the wave moves horizontally.
On the other hand, to produce a longitudinal wave, you should provide back-and-forth motion, which is parallel to the direction the wave is traveling (Answer B). This involves compressing and expanding sections of the spring, which corresponds to regions of compression and rarefaction in the wave.
Therefore, the correct answers for imparting motion to a stretched coiled spring to create a transverse wave are side-to-side or up-and-down motion, and for a longitudinal wave, it is back-and-forth motion that incorporates compression and rarefaction.