Question

what is common between transverse waves and longitudinal waves?
both include an amplitude, crest, and rarefactions
both move faster at higher temperatures
both move slower through densely packed molecules
both include a wavelength from compression to compression

Explanation:

• Option 1: Longitudinal waves have compressions and rarefactions, transverse waves have crests and troughs. So this option is incorrect.
• Option 2: For mechanical waves (both transverse and longitudinal), higher temperature means more kinetic energy for the particles in the medium. Particles can transfer the wave - related energy more quickly. So both types of waves move faster at higher temperatures.
• Option 3: Densely - packed molecules (higher density of the medium) generally make longitudinal waves (like sound waves) move faster. For example, sound travels faster in solids (denser) than in gases. Transverse waves (e.g., waves on a string) are a bit different, but in general, for mechanical waves, this statement is incorrect.
• Option 4: Wavelength from compression - to - compression is a characteristic of longitudinal waves. Transverse waves have wavelength from crest - to - crest or trough - to - trough.

Answer:

Both move faster at higher temperatures.