Physics
Which of the following statement is CORRECT?
The frequency of a stretched string is:
- directly proportional to its length but inversely proportional to the tension of the wire.
- inversely proportional to its length but directly proportional to the tension of the wire.
- directly proportional to the square root of its length but inversely proportional to the tension of the wire.
- inversely proportional to its length but directly proportional to the square root of the tension of the wire.
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Answer
inversely proportional to its length but directly proportional to the square root of the tension of the wire.
Reason— The frequency f of a stretched string is given by:
Where:
- L is the length of the string,
- T is the tension,
- is the linear mass density
Therefore, frequency of a stretched string is inversely proportional to its length but directly proportional to the square root of the tension of the wire.
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