Question

question 2 (5 points)listenwhich of the following scenarios describes a condition in which resonance can occur?a) two tuning forks are struck simultaneously, one with a frequency of 659hz and one with a frequency of 639 hz, causing beats.b) a tuning fork is over a column of air that is 9/2 the wavelength of the wave produced by the tuning fork.c) an isolated tuning fork is struck with a mallet, causing it to vibrate strongly at 659 hz.d) two tuning forks that vibrate at the same frequency are near each other. one tuning fork is struck with a mallet so that it vibrates.

Explanation:

Resonance occurs when an object is made to vibrate at its natural frequency by an external periodic force with the same frequency.

• Option A describes beat frequency from two different frequencies, not resonance.
• Option B: For air column resonance, the length needs to be a multiple of $\frac{\lambda}{4}$ (closed tube) or $\frac{\lambda}{2}$ (open tube); $\frac{9}{2}\lambda$ does not fit the resonant condition for air columns.
• Option C is just free vibration of a tuning fork, no external driving force causing resonance.
• Option D: The struck tuning fork (vibrating at natural frequency) acts as a driving force for the identical tuning fork, which will vibrate at its natural frequency via resonance.

Answer:

D) Two tuning forks that vibrate at the same frequency are near each other. One tuning fork is struck with a mallet so that it vibrates.