Sound WavesHard
Question
A steel wire of length 1 m and mass 0.1 kg and having a uniform cross-sectional area of 10-6 m2 is rigidly fixed at both ends. The temperature of the wire is lowered by 20oC. If the wire is vibrating in fundamental mode, find the frequency (in Hz). (Ysteel = 2 × 1011 N/m2, αsteel = 1.21 × 10-5 /oC)
Options
A.11
B.20
C.15
D.10
Solution
ᐃl = αlᐃθ ⇒ Y = 
⇒ T = YA
⇒ T = αYAᐃθ = 48.4N ;
= 22 m/s
∵ for fundamental note
⇒ λ = 2m ⇒ f = 
= 11 Hz
⇒ T = YA⇒ T = αYAᐃθ = 48.4N ; = 22 m/s∵ for fundamental note
⇒ λ = 2m ⇒ f = = 11 HzCreate a free account to view solution
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