Physics - Wave on String Question with Solution | TestHub

PhysicsWave on StringMiscellaneousMedium2 minPYQ_2024

PhysicsMediumnumerical

A tuning fork resonates with a sonometer wire of length $1 m$ stretched with a tension of $6 N .$ When the tension in the wire is changed to $54 N,$ the same tuning fork produces $12$ beats per second with it. The frequency of the tuning fork is _______ $Hz .$

Answer:

6.00

Solution:

Frequency of sonometer wire is given by, $f = \frac{1}{2 L} \sqrt{\frac{T}{μ}}$

Therefore, $f_{1} = \frac{1}{2} \sqrt{\frac{6}{μ}}$ $f_{2} = \frac{1}{2} \sqrt{\frac{54}{μ}}$

Hence, $\frac{f_{1}}{f_{2}} = \frac{1}{3}$

Also it is given that, $f_{2} - f_{1} = 12$

So, $f_{1} = 6 Hz$ .

Stream:JEESubject:PhysicsTopic:Wave on StringSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2024

Doubts & Discussion

Loading discussions...