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JEE Main20231 Feb 2023Morning ShiftPhysicsWaves and SoundActual

A steel wire with mass per unit length 7 . 0 × 10 – 3 kg m – 1 is under tension of 70 N . The speed of transverse waves in the wire will be:

Options

  1. A200 π   m   s - 1
  2. B100   m   s - 1
  3. C10   m   s - 1
  4. D50   m   s - 1

Correct answer

B. 100   m   s - 1

Step-by-step solution

The formula to calculate the speed v of the transverse wave generated in a stretched string is given by v =   T μ . . . . . . . . . . . . . . . . . . . . . . . . . . . . ( 1 ) where, T is the tension in the string and μ is the mass density. Therefore, required speed of the wave: v = 70   N 7 × 10 - 3   kg   m - 1   = 100   m / s

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