If the kinetic energy of the particle is increased to 16 times its previous value

If The Kinetic Energy Of The Particle Is Increased To Physics QuestionIf The Kinetic Energy Of The Particle Is Increased To Physics Question

If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de-broglie wavelength of the particle is

Options

(a) 25
(b) 75
(c) 60
(d) 50

Correct Answer:

75

Explanation:

For de-Broglie wavelength, λ₁ = h / p = h / √(2mK) —–(i)
λ₂ = h / √(2m 16K) = h / 4√(2mK) = λ₁ / 4 ——-(ii)
λ₂ = 25% of λ₁
There is 75% change in the wavelength.

AddThis Website Tools
admin:

Related Questions

  1. An ideal spring with spring constant K is hung from the ceiling and a block of mass
  2. A body undergoes no change in volume. Poisson’s ratio is
  3. A particle moves in a straight line with a constant acceleration
  4. One mole of an ideal diatomic gas undergoes a transition from A to B along a path
  5. In L-C-R series circuit, an alternating emf e and current i are given by the equations