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NEET2009PhysicsDual Nature of MatterActual

If the kinetic energy of a particle is increased by 16 times, the percentage change in the de Broglie wavelength of the particle is

Options

  1. A25 %
  2. B75 %
  3. C60 %
  4. D50 %

Correct answer

B. 75 %

Step-by-step solution

= h m v = h 2 m E or 1 E ^ = E E^ = 1 16 = 1 4 % change in wavelength = ( - ^ ) 100= (1- ^ ) 100= (1- 1 4 ) 100=75 %

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