Q60 / 75 · JEE Main 2020 (07 Jan Shift 1) · Physics

Speed of a transverse wave on a straight wire (mass 6.0 g, length 60 cm and area of cross-section 1.0 mm2  is 90 m s-1. If the Young's modulus of wire is 16×1011 N m-2, the extension of wire over its natural length is:

  • Correct answer
    A
    0.03 mm
  • B
    0.02 mm
  • C
    0.04 mm
  • D
    0.01 mm

Solution

v=Tμ
⇒T=μv2
⇒μv2A=Y∆ll
⇒∆l=μv2lAY
After substituting value of μ,v,l,A and Y we get
∆l=0.3mm

Hence, the correct answer is option: 'A'.

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