An organ pipe `P_(1)` open at one end vibrating in its first harmonic and another pipe `P_(2)` open at ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of `P_(1)` to that `P_(2)` isA. `(8)/(3)`B. `(3)/(8)`C. `(1)/(6)`D. `(1)/(3)`

An organ pipe `P_(1)` open at one end vibrating in its first harmonic

1.	An organ pipe `P_(1)` open at one end vibrating in its first harmonic and another pipe `P_(2)` open at ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of `P_(1)` to that `P_(2)` isA. `(8)/(3)`B. `(3)/(8)`C. `(1)/(6)`D. `(1)/(3)`
Answer» Correct Answer - C `f_(1)=f_(2),(v)/(lamda_(1))=(v)/(lamda_(2))rArr lamda_(1)=4L_(1)=lamda_(2)=(2)/(3)L_(2)` `rArr (L_(1))/(L_(2))=(2)/(3xx4)=(1)/(6)`

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An organ pipe `P_(1)` open at one end vibrating in its first harmonic and another pipe `P_(2)` open at ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of `P_(1)` to that `P_(2)` isA. `(8)/(3)`B. `(3)/(8)`C. `(1)/(6)`D. `(1)/(3)`

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