Final answer:
When two strings on a piano produce beats of 1.50 Hz and one is tuned to 260.00 Hz, the frequency of the other string could be 261.50 Hz or 258.50 Hz.
Step-by-step explanation:
The question addresses the concept of beats, which is a phenomenon that occurs when two sounds with slightly different frequencies are played together, resulting in a fluctuation in the loudness of the combined sound. According to the given information, the middle-C hammer of a piano hits two strings producing beats of 1.50 Hz. If one of the strings is tuned to a frequency of 260.00 Hz, we need to find out what the frequency of the other string could be.
To calculate the possible frequencies for the other string, we can either add or subtract the beat frequency from the known string's frequency. Hence, the two possible frequencies for the other string would be:
- 260.00 Hz + 1.50 Hz = 261.50 Hz
- 260.00 Hz - 1.50 Hz = 258.50 Hz
Thus, the other string could either be slightly higher or lower in frequency than the already tuned string, which are the two scenarios that would result in beats of 1.50 Hz when played together with the 260 Hz string.