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  • Stuck here, help me understand: - Oscillations and Waves - JEE Main-8

A tuning fork vibrates with frequency
256 Hz and gives one beat per second with
the third normal mode of vibration of an
open pipe. What is the length of the
pipe ? (Speed of sound in air is 340 ms^{-1})

  • Option 1)

    220 cm

  • Option 2)

    190 cm

  • Option 3)

    180 cm

  • Option 4)

    200 cm

 

Answers (2)

best_answer

As we learned

frequency of organ pipe = 255HZ or 257H2

In third normal mode

\nu = \frac{3}{2l}\cdot V = \frac{3\times 340}{2l} = \frac{510}{l}

If \nu = 255Hz \Rightarrow l = 200cm

If \nu = 257Hz \Rightarrow l = 198.4cm

l=200cm


Option 1)

220 cm

Option 2)

190 cm

Option 3)

180 cm

Option 4)

200 cm

Posted by

Avinash

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