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.

λ = 5.74 10⁻¹⁰ m  = 57.4 nm

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