Calculate the de Broglie wavelength of a neutron that has a velocity of 200. cm/s. (mass of a neutron = 1.675 × 10^-27 kg and h = 6.63 × 10^-34 J • s) A) 1.98 × 10^-9 m B) 216 nm C) 1.8 × 10⁵⁰ m D) 198 nm E) 5.05 mm

Question

Quizplus · Accepted Answer

The de Broglie wavelength is given by the equation: λ = h/mv, where h is the Planck constant (6.63 × 10^-34 J • s), m is the mass of the particle (1.675 × 10^-27 kg for a neutron), and v is the velocity of the particle.

Plugging in the values given, we get:

λ = (6.63 × 10^-34 J • s)/(1.675 × 10^-27 kg)(200. cm/s)
λ = 1.98 × 10^-10 m = 198 nm

Therefore, the best choice is D.

Calculate the De Broglie Wavelength of a Neutron That Has