A photon, an electron and a uranium nucleus all have the same wavelength. The one with the most energy:

Question

A photon, an electron and a uranium nucleus all have the same wavelength. The one with the most energy: (A) Is the photon (B) Is the electron (C) Is the uranium nucleus (D) Depends upon the wavelength and the properties of the particle

Tardigrade Admin · Accepted Answer

As λ=( h /√2 mE ) ∴ E =( h 2/2 m λ2) ⇒ λ is same for all so, ∴ E propto (1/ m ) Hence energy will be maximum for particle with lesser mass.

Q. A photon, an electron and a uranium nucleus all have the same wavelength. The one with the most energy:

Is the photon

Is the electron

Is the uranium nucleus

Depends upon the wavelength and the properties of the particle

As $λ = \frac{h}{2 m E}$
$∴ E = \frac{h ^{2}}{2 m λ ^{2}}$
$\Rightarrow λ$ is same for all so,
$∴ E \propto \frac{1}{m}$
Hence energy will be maximum for particle with lesser mass.

Q. A photon, an electron and a uranium nucleus all have the same wavelength. The one with the most energy:

Is the photon

Is the electron

Is the uranium nucleus

Depends upon the wavelength and the properties of the particle

As λ=2mE​h​ ∴E=2mλ2h2​ ⇒λ is same for all so, ∴E∝m1​ Hence energy will be maximum for particle with lesser mass.

As $λ = \frac{h}{2 m E}$
$∴ E = \frac{h ^{2}}{2 m λ ^{2}}$
$\Rightarrow λ$ is same for all so,
$∴ E \propto \frac{1}{m}$
Hence energy will be maximum for particle with lesser mass.