A sonometer wire is vibrating at frequency fo. If the tension in the wire is…

A sonometer wire is vibrating at frequency fo. If the tension in the wire is doubted while the length and the mass per unit length are kept constant, the new frequency of vibration is
  • A.fo/2
  • B.
    2fo
  • C.fo/√2
  • D.fo√2
Correct Answer: Option D
Explanation

For a vibrating sonometer wire, the frequency
F = l/2l √(T/m)
and if the length, l and mass per unit length, m, are constant, then Fo ∝ √T => FoK√T or Fo/√T = K
=> F1o/√F1 = F2o/√F2
∴ F1o/√T1 = F2o/√T2

thus F2 = F3x√(2T1
__√T1

=

= Fox√2 x √T1
√T1

∴F2 = Fo x √2 = Fox√2

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In the diagram, STUV is a straight line. o and o. Calculate A. 150o B. 140o C. 130o…
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