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A vibrating sonometer wire is in resonance with a tuning fork of frequency 150 Hz. If only one loop is formed on the wire and the length of one loop is 40 cm, then the velocity of transverse waves on the wire will be (a) 120 m/s (b) 240 m/s (c) 90 m/s (d) 60 m/s

A vibrating sonometer wire is in resonance with a tuning fork of frequency 150 Hz. If only one loop is formed on the wire and the length of one loop is 40 cm, then the velocity of transverse waves on the wire will be

(a) 120 m/s

(b) 240 m/s

(c) 90 m/s

(d) 60 m/s

Grade:12

2 Answers

Saurabh Koranglekar
askIITians Faculty 10336 Points
2 years ago
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Vikas TU
14149 Points
2 years ago
Dear studentlength of the sonometer wire is 
L=40cm=.40m
fundamental frequency f0=150Hz
when the fundamental wave is produced we have
λ/2=0.40m
⇒λ=0.80m
wave speed v=f0λ
⇒v=150×0.80=120m/sOption (1) is correctRegards

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