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  • In the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode with a tuning fork is 0.6

In the experiment for the determination of the speed of sound in air using the resonance column method, the length of the air column that resonates in the fundamental mode with a tuning fork is 0.6 m. When this length is changed to  0.45 m the same tuning fork resonates with the first overtone calculate the end correction


 

Option: 1

-0.475 m


Option: 2

0.475 m


Option: 3

0.675 m


Option: 4

-0.675 m


Answers (1)

best_answer

e+60=\frac{\lambda }{4}\rightarrow e q\text { (1) } \\
e+45=\frac{3\lambda }{4} \rightarrow e q(2)

dividing by eq (1) and (2)

\frac{e+60}{e+45}=\frac{\frac{\lambda }{4}}{\frac{3 \lambda}{4}}

\frac{e+60}{e+45}=\frac{\lambda }{4} \times \frac{4}{3 \lambda} \\

\frac{e+60}{e+45}=\frac{1}{3}

(e+60) 3=e+45 \\

3 e+180=e+45 \\

3 e-e=45-180 \\

2 e=-135 \\

e=\frac{-135}{2} \mathrm{~cm}

 or\,\,\,e=\frac{-135}{2 \times 100}=\frac{-135}{200} \\

e=-0.675 \mathrm{~m}

Posted by

Ajit Kumar Dubey

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