If you go on increasing the stretching force on a wire in a guitar its frequency

  1. Increases
  2. Decreases
  3. Remain unchanged
  4. None of these

Answer (Detailed Solution Below)

Option 1 : Increases
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Detailed Solution

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CONCEPT:

  • Standing waves: A combination of two waves moving in opposite directions, each having the same amplitude and frequency are known as standing waves.
    • Standing waves are produced when the guitar string is stretched.

The frequency of the wave is given by:

l is the length of wire, T is tension in the wire, μ is mass per unit length of wire.

EXPLANATION:

In the guitar wire, length l and mass per unit length μ will be constant.

So,

f ∝ √ T  -- (1)

  • From the above expression, frequency is directly proportional to the square of the tension.
  • If stretching increases, that means we are increasing the tension.
  • If tension increases, the frequency will increase.
  • So, If you go on increasing the stretching force on a wire in a guitar its frequency increases.

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