Question

A tuning fork of frequency $480Hz$ is used to vibrate a sonometer wire having natural frequency $410Hz$ . The wire will vibrate with a frequency
A) $410Hz$
B) $480Hz$
C) $820Hz$
D) $960Hz$

Answer 1

Hint: Here in this question, we have to find the frequency of the wire, For which we have to know that, The frequency of transverse vibration of a stretched string is inversely related to the vibrating length if the string's tension and mass per unit length of wire stay constant. By using this we can find the frequency of the wire.



Complete answer:

We know that the tuning fork is attached to the wire directly as per which we can say that, the frequency of tuning fork is $480Hz$and when the transmission of vibration is get started in the fork it directly affects the vibration of the wire.
As from which we get that,
The bridges in the sonometer convey the simple harmonic disturbance that the tuning fork causes to the wire. The wire will therefore vibrate at the same frequency as a tuning fork.
As from the above conclusion we get that, the frequency of the wire will remain as $480Hz$ .
Therefore, the correct answer is $480Hz$ .
Hence, the correct option is (B).


Note: We all should know that, A stretched string's length, linear mass density, frequency, and tension are all essentially studied with a sonometer. Devices based on the resonance theory include sonometers. It is utilized to establish the tuning fork's frequency as well as the rules of vibration of stretched strings.