A tube 1.0 m long is closed at one end. A wire of length 0.3 m and mass 1 × 10 -2 kg is stretched between two fixed ends and is placed near the open end . When the wire is plucked at its mid point the air column resonates in its 1st overtone. Find the tension in the wire if it vibrates in its fundamental mode. [ V sound = 330 m/s ]
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION
(735 N)
for the wire, v = 
fundamental frequency = 
= 
. 
= 
for the closed pipe, frequency of 1st overtone = 
x 3
since the two frequencies are equal
= 
= 
⇒ T = 
x 2 2 x 0.3 x 10 –2 = 734.4 N
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