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Two tuning fork A and B give 5 beats `//` sec. A resounds with a closed column of air 15 cm long and B with an open column of air 30.5 cm long. Calculate their frequecies. Neglect end correction. |
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Answer» Freq. of A, `n_(1)=(upsilon)/(4l_(1))=(upsilon)/(4xx0.15)=(upsilon)/(0.6)` Freq. of B, `n_(2)=(upsilon)/(2l_(2))=(upsilon)/(2xx0.305)=(upsilon)/(0.61)` Beat frequency, `m=n_(1)-n_(2)` `5=(upsilon)/(0.6)-(upsilon)/(0.61)=((0.61-0.6)upsilon)/(0.6xx0.61)` `upsilon=(5xx0.6xx0.61)/(0.01)=183m//s` `:. n_(1)=(upsilon)/(0.6)=(183)/(0.6)=305Hz` `n_(2)=(upsilon)/(0.61)=(183)/(0.61)=300Hz` |
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