Question

An electron with velocity (v)is found to have a certain value of de-broglie wavelength. The velocity that the neutron should possess to have the same de-broglie wavelength is​

Answer 1

Answer ⇒  V = 5.45 × 10⁻⁴ v.

Explanation ⇒ Let the de-broglie wavelength be λ.

We know,

  λ = h/mv

where m is the mass of the electrons and v is the velocity of the electrons.

Now, If we want the same wavelength for an neutron. Then, let the velocity of the neutron should be V.

∴ λ = h/MV

∴ MV = mv   [Equating both Equation.]

1.67 × 10⁻²⁷ × V = 9.1 × 10⁻³¹ × v

∴ V = 5.45 × 10⁻⁴ v.

This means that the velocity of Neutron should be 5.45 × 10⁻⁴ times the velocity of the Electrons.

Hope it helps.

Answer 2

Answer:

  λ = h/mv

where m is the mass of the electrons and v is the velocity of the electrons.

Now, If we want the same wavelength for an neutron. Then, let the velocity of the neutron should be V.

∴ λ = h/MV

∴ MV = mv   [Equating both Equation.]

1.67 × 10⁻²⁷ × V = 9.1 × 10⁻³¹ × v

∴ V = 5.45 × 10⁻⁴ v.

This means that the velocity of Neutron should be 5.45 × 10⁻⁴ times the velocity of the Electrons.