KVPY Sample Paper KVPY Stream-SX Model Paper-17

  • question_answer
    A musician using an open flute of length 50 cm produces second harmonic sound waves. A person runs towards the musician from another end of a hall at a speed of 10 km/h. If the wave speed is 330 m/s, the frequency heard by the running person shall be close to:

    A) 666 Hz

    B) 753 Hz 

    C) 500 Hz

    D) 333 Hz

    Correct Answer: A

    Solution :

    \[f=\frac{2}{2\ell }{{v}_{s}}\]\[=\frac{3.30}{0.5}\]= 660 Hz
    \[\therefore \] \[f'=f\,\left( \frac{{{v}_{s}}+v}{{{v}_{s}}} \right)\]\[=(660)\left( \frac{330+\frac{50}{18}}{330} \right)\]\[=660\left( 1+\frac{50}{18\times 330} \right)\]\[=666\text{ }Hz,\]


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