Question

11.7 mph to m/s Thermal neutrons are neutrons that move at speeds comparable to those of air molecules at room temperature. These neutrons are most effective in initiating a nuclear chain reaction among 235U isotopes. Calculate the wavelength (in nm) associated with a beam of neutrons moving at 6.90 × 102 m/s (mass of a neutron = 1.675 × 10−27 kg). Enter your answer in scientific notation.

Answer 1

λ = 5.74 10⁻¹⁰ m = 57.4 nm

Step-by-step explanation:

To find the neutron wavelength we will use the Broglie relationship that establishes a relationship between the amount of motion of a particle and its associated wavelength

p = h / λ

Where h is the Planck constant that you are worth 6.63 10⁻³⁴ J s . Also, let's use the classic definition of the moment

p = m v

Replace us

mv = h / λ

λ = h / mv

Let's calculate

λ = 6.63 10⁻³⁴ /(1.675 10⁻²⁷ 6.90 10²)

λ = 5.74 10⁻¹⁰ m

λ = 57.4 nm