A tuning fork is used to produce resonance in a glass tube . The length of the air column in this tube can be adjusled by a varlable pision. At room temperature of 27^(@) C, two successlve resonances are produced at20 cm and 73 cm of column length .If the frequency of the tuning fork is 320 Hz, the velocity of sound in air at 27^(@) C is

A tuning fork is used to produce resonance in a glass tube . The lengt

1.	A tuning fork is used to produce resonance in a glass tube . The length of the air column in this tube can be adjusled by a varlable pision. At room temperature of 27^(@) C, two successlve resonances are produced at20 cm and 73 cm of column length .If the frequency of the tuning fork is 320 Hz, the velocity of sound in air at 27^(@) C is
Answer» <html><body><p><a href="https://interviewquestions.tuteehub.com/tag/350-308849" style="font-weight:bold;" target="_blank" title="Click to know more about 350">350</a> m/s<br/>339m/s<br/>330 m/s<br/>300 m/s</p>Solution :`(2n= l)(lambda)/(4) = 20`<br/>`(2 n + 1) (lambda)/(4) = <a href="https://interviewquestions.tuteehub.com/tag/73-334616" style="font-weight:bold;" target="_blank" title="Click to know more about 73">73</a>`<br/>Subtracting <a href="https://interviewquestions.tuteehub.com/tag/equation-974081" style="font-weight:bold;" target="_blank" title="Click to know more about EQUATION">EQUATION</a> (2) from equation (1) . We get<br/>`(2 n + 1 - 2 n + 1) (lambda)/(4) = (73 - 20)`<br/>or,`(lambda)/(2) = <a href="https://interviewquestions.tuteehub.com/tag/53-324827" style="font-weight:bold;" target="_blank" title="Click to know more about 53">53</a> or, lambda = 106 cm = (106)/(<a href="https://interviewquestions.tuteehub.com/tag/100-263808" style="font-weight:bold;" target="_blank" title="Click to know more about 100">100</a>) m`<br/>`:. (V) = nlambda = 320 xx (106)/(100) = 339 . 2 m//2`</body></html>