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Use the de Broglie's Wave Equation to find the wavelength of a 2.00 g ball moving at 2 m/s. Please show your work. Note: h = Plank's constant (6.62607 x 10-34 J s)
de Broglie's wave equation describes that particles have wave properties.
Equation is λ = h/mv
Where λ is the wave length of the particle (m), h is the Planck's constant (6.62607 x 10⁻³⁴J s), m is the mass of a particle (kg) and v is the velocity (m/s).
λ = ? h = 6.62607 x 10⁻³⁴ J s m = 2.00 g = 0.002 kg v = 2 m/s
By substitution, λ = 6.62607 x 10⁻³⁴ J s / (0.002 kg x 2 m/s) λ = 1.66 x 10⁻³¹ m
Hence, the wavelength of the 2.00 g ball is 1.66 x 10⁻³¹ m.