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In resonance pipe in the fundamental mode, with a tunning fork is 0.1 m. When this length is changed to 0.35 m, the same tunning fork resonates with the first ovetone. Calculate end correction

  • Option 1)

    0.012 m

  • Option 2)

    0.025 m

  • Option 3)

    0.05 m

  • Option 4)

    0.024 m

 

Answers (1)

best_answer

Let e be the end correction

\frac{v}{4\left ( l_{1}+e \right )}= \frac{3v}{4\left ( l_{2}+e \right )}\Rightarrow

e= 2.5cm = 0.025m

 

Fundamental frequency with end correction -

\nu _{0}= \frac{V}{4\left ( l+e \right )}     (one end open)

\nu _{0}= \frac{V}{2\left ( l+2e \right )}    (Both end open)

e = end correction

-

 

 


Option 1)

0.012 m

This is incorrect

Option 2)

0.025 m

This is correct

Option 3)

0.05 m

This is incorrect

Option 4)

0.024 m

This is incorrect

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Aadil

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