An organ pipe \[{{P}_{1}}\] closed at one end vibrating in its first overtone and another pipe \[{{P}_{2}}\] open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of lengths of \[{{P}_{1}}\] and \[{{P}_{2}}\] is [EAMCET 1997; MH CET 1999; AFMC 2001]

• A. 1 : 2
• B. 1 : 3
• C. 3 : 8
• D. 3 : 4