A steel ball of mass mis moving with a kinetic energy K. The de Broglie wavelength associated with the ball is

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Calculation:
The de Broglie wavelength λ is given by the formula:

λ = h / p

where:

  • h = Planck's constant
  • p = momentum of the particle

Since the steel ball is moving with kinetic energy K, the momentum p is related to K by the equation:

p = √(2mK)

Substitute this expression for p into the de Broglie wavelength equation:

λ = h / √(2mK)

The correct answer is: h / √(2mK)

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