Physics - Sound Wave Question with Solution | TestHub
Two strings ' X ' and ' Y ' of a guitar produces a beat frequency of 6 Hz . When the tension of the string ' ' is increased, the beat frequency is found to be 4 Hz . If the frequency of string ' X ' is 300 Hz , then the original frequency of string ' ' is
Options:
Answer:
Solution:
The frequency of string X is Hz.
The initial beat frequency is Hz. Therefore, the original frequency of string Y can be:
Hz or Hz.
When the tension in string Y is increased, its frequency increases.
If the original frequency was Hz, increasing the tension would increase its frequency further (e.g., to Hz), which would result in a new beat frequency greater than Hz. This contradicts the given new beat frequency of Hz.
If the original frequency was Hz, increasing the tension would increase its frequency (e.g., to Hz). The new beat frequency would then be Hz, which matches the given condition.
Thus, the original frequency of string Y is Hz.
Answer: 294 Hz
