Navigate

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 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.

AIPMT2014
admin:

Related Questions

  1. Photons with energy 5eV are incident on a cathode C in a photoelectric cell.
  2. The work function for metals A,B abd C are respectively 1.92 eV,2.0 eV and 5 eV.
  3. Two thin lenses when placed in contact, then the power of combination is +10 D.
  4. Energy in a current carrying coil is stored in the form of
  5. A projectile is thrown in the upward direction making an angle of 60°with the horizontal