The fundamental frequency of vibration of a sonometer wire may be halved by
Answer Details
The fundamental frequency of a sonometer wire is related to its length, tension, and mass. To halve the fundamental frequency, we need to identify which factor(s) we can change to reduce the frequency by a factor of 2.
- Doubling the length of the wire will reduce the frequency by a factor of 2, as the frequency is inversely proportional to the length of the wire.
- Doubling the mass of the wire will not affect the frequency, as the frequency is independent of the mass of the wire.
- Reducing the tension by half will reduce the frequency by a factor of sqrt(2), not by a factor of 2.
- Reducing the absolute temperature by half will not affect the frequency of the wire.
Therefore, the correct answer is: "doubling the length of the wire".