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A transverse wave is passing through a wire of mass 10 g, whose modulus of elasticity Y is 10 x 1011 N/m2. It takes 1 sec for the wave to pass from one end to another. If the speed of the wave is 80 m/s and the area of the cross-section of the wire is 2 mm2, then what will be the strain in the wire?
  • a)
    2 x 10-7
  • b)
    4 x 10-8
  • c)
    4 x 10-7
  • d)
    2 x 10-8
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A transverse wave is passing through a wire of mass 10 g, whose modulu...
Given data:

  • Mass of wire (m) = 10 g = 0.01 kg

  • Modulus of elasticity (Y) = 10 x 10^11 N/m^2

  • Time taken for wave to pass (t) = 1 sec

  • Speed of wave (v) = 80 m/s

  • Area of cross-section of wire (A) = 2 mm^2 = 2 x 10^-6 m^2


Calculating strain in the wire:

  • Using the formula for wave speed: v = √(Y/ρ), where ρ is the density of the wire.

  • ρ = m/A = 0.01 kg / 2 x 10^-6 m^2 = 5 x 10^3 kg/m^3

  • Now, substituting the values in the wave speed formula: 80 = √(10 x 10^11 / 5 x 10^3)

  • Solving for Y, we get Y = 4 x 10^-7


Therefore, the strain in the wire is 4 x 10^-7, which corresponds to option 'C'.
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Community Answer
A transverse wave is passing through a wire of mass 10 g, whose modulu...
Speed of the transverse wave is given by:

where T is the tension in the wire and µ is mass per unit length of the wire
Therefore,
T = µv2
Strain:

This is our required solution.
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A transverse wave is passing through a wire of mass 10 g, whose modulus of elasticity Y is 10 x 1011 N/m2. It takes 1 sec for the wave to pass from one end to another. If the speed of the wave is 80 m/s and the area of the cross-section of the wire is 2 mm2, then what will be the strain in the wire?a)2 x 10-7b)4 x 10-8c)4 x 10-7d)2 x 10-8Correct answer is option 'C'. Can you explain this answer?
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A transverse wave is passing through a wire of mass 10 g, whose modulus of elasticity Y is 10 x 1011 N/m2. It takes 1 sec for the wave to pass from one end to another. If the speed of the wave is 80 m/s and the area of the cross-section of the wire is 2 mm2, then what will be the strain in the wire?a)2 x 10-7b)4 x 10-8c)4 x 10-7d)2 x 10-8Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A transverse wave is passing through a wire of mass 10 g, whose modulus of elasticity Y is 10 x 1011 N/m2. It takes 1 sec for the wave to pass from one end to another. If the speed of the wave is 80 m/s and the area of the cross-section of the wire is 2 mm2, then what will be the strain in the wire?a)2 x 10-7b)4 x 10-8c)4 x 10-7d)2 x 10-8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A transverse wave is passing through a wire of mass 10 g, whose modulus of elasticity Y is 10 x 1011 N/m2. It takes 1 sec for the wave to pass from one end to another. If the speed of the wave is 80 m/s and the area of the cross-section of the wire is 2 mm2, then what will be the strain in the wire?a)2 x 10-7b)4 x 10-8c)4 x 10-7d)2 x 10-8Correct answer is option 'C'. Can you explain this answer?.
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