An organ pipe A closed at one end is allowed to vibrate in its first harmonic and another pipe B open at both ends is allowed to vibrate in its third harmonic. Both A and B are in resonance with a given tuning fork. The ratio of the length of A and B is:
A. \(\frac { 8 }{ 3 }\)
B. \(\frac { 3 }{ 8 }\)
C. \(\frac { 1 }{ 6 }\)
D. \(\frac { 1 }{ 2 }\)
Answer:D
An organ pipe A closed at one end is allowed to vibrate in its first harmonic and another pipe B open at both ends is allowed to vibrate in its third harmonic. Both A and B are in resonance with a given tuning fork. The ratio of the length of A and B is:
A. \(\frac { 8 }{ 3 }\) B. \(\frac { 3 }{ 8 }\) C. \(\frac { 1 }{ 6 }\) D. \(\frac { 1 }{ 2 }\)