The de Broglie wavelength of a tennis ball of mass 60 g

The de Broglie wavelength of a tennis ball of mass 60 g moving with a velocity of 10 metres per second is approximately (Planck's constant, h = 6.63 × 10–34 Js)

  1. 10–16 metres
  2. 10–31 metres
  3. 10–33 metres
  4. 10–25 metres

Solution

The de Broglie wavelength is the wavelength, λ, associated with a particle and is related to its momentum, p, through the Planck constant, h.

λ = h/p = h/mv

h = 6.63 × 10–34 Js

m = 60 g = 0.06 kg = 6 x 10-2 kg

v = 10 m/s

λ = h/mv = (6.63 x 10-34)/(10 x 6 x 10-2)

λ ≅ 10-33 m

The correct option is C.