Answer to Question #330677 in General Chemistry for Hassy

Question

Calculate the wavelength of a particle with masses 9.11x10-31Kg travelling at speed 1.0x107 m/s and that of a ball of mass 0.1Kg travelling at 35 m/s. Comment on the significance of the wavelengths calculated.

Answer 1

$\lambda$ = h/mv

In this equation, h is Planck’s constant, m is the mass of the particle in kg, and v is the velocity of the particle in m/s. 

$\lambda$ = (6.6262×10^-34 J s) / (9.11×10^-31 kg)(1.0×10⁷ m/s) = 7.28×10^-11 m

$\lambda$ = (6.6262×10^-34 J s) / (0.1 kg)(35 m/s) = 1.89×10^-34 m