9th Class Science Sound Question Bank Sound IIT JEE Subjective Problems

  • question_answer
    What is the maximum time taken by the particle in a ultrasonic wave to go from one extreme to another during its oscillations?

    Answer:

    Ultrasonic waves have a frequency of more than 20, 000 Hz The minimum frequency of an ultrasonic waves wave is 20,000 Hz Time taken to go from one extreme to another = Time taken for half an oscillation \[t=\frac{T}{2}\] For the time taken to go from one extreme to another to be maximum, from (1), we can say that T should be maximum. For T to be maximum, ?n? should be minimum, which is 20,000 Hz. \[\therefore \]Maximum time to go from one extremity to another is possible when frequency (n) is\[20,000\text{ }Hz\]. \[\therefore \] From (1), \[t=\frac{T}{2}\] \[\therefore \] \[{{t}_{\max }}=\left( \frac{T}{2} \right)=\frac{1}{2n}\]                    \[\left( \because T=\frac{1}{n} \right)\] \[=\frac{1}{2\times 20000}=25\times {{10}^{-6}}s\]


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