A neutron has a mass of 1.67 *10 ^- ²⁷ kg.The de Broglie wavelength is 1.4 *10 ^- ¹⁰ m.How fast is the neutron going? (in m/s) A)3.4 *10³ B)2.8 * 10³ C)3.9 * 10³ D)2.6 * 10³ E)1.7 * 10³

Question

Quizplus · Accepted Answer

We know that the de Broglie wavelength is given by:

λ = h/mv

where h is the Planck's constant, m is the mass of the particle and v is its velocity.

Rearranging the equation, we get:

v = h/(mλ)

Substituting the given values, we get:

v = (6.626 x 10^-34)/(1.67 x 10^-27 x 1.4 x 10^-10)

v = 2.8 x 10^3 m/s

Therefore, the answer is choice B.

A Neutron Has a Mass of 1