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When an air column at `27^(@)C` and a tuning fork are sounded together, 5 beats per second are produced. The frequency of the fork is less than that of air column. No beat is heard at `-3^(@)C`. Determine the frequency of the fork. |
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Answer» Let the frequency of tuninig fork be v. Therefore, frequency of air column at `27^(@)C=(v+5)` As no beat is heard at `-3^(@)C`, therefore, frequency of air column at `-3^(@)C=v` `:. (v+5)/(v)=(upsilon_(26^(@)C))/(upsilon_(-3^(@)C))` `=sqrt((273+27)/(273-3))=sqrt((300)/(270))` `1+(5)/(v)=(1+(1)/(9))^(1//2)=1+(1)/(18)` `v=5xx18=90Hz` |
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