Explanation:

The de-Broglie wavelength of a particle is given by the equation:

λ = h / p

Where λ is the wavelength, h is the Planck's constant, and p is the momentum of the particle.

The wavelength of a photon is given by the equation:

λ = c / f

Where λ is the wavelength, c is the speed of light, and f is the frequency of the photon.

Comparison between the wavelength of a photon and the de-Broglie wavelength of an electron and uranium atom:

1. Photon:
The wavelength of a photon is determined by its frequency, and it does not have any mass. Therefore, the momentum of a photon is given by:

p = h / λ = hf / c

Since the speed of light is a constant, the momentum of a photon is directly proportional to its frequency. Higher frequency photons have higher momentum and shorter wavelengths.

2. Electron:
The de-Broglie wavelength of an electron is determined by its momentum, which is given by its mass and velocity. The kinetic energy of an electron can be calculated using the equation:

K.E. = (1/2)mv²

Where m is the mass of the electron and v is its velocity.

3. Uranium Atom:
Similarly, the de-Broglie wavelength of a uranium atom is determined by its momentum, which is given by its mass and velocity. The kinetic energy of a uranium atom can be calculated using the equation:

K.E. = (1/2)Mv²

Where M is the mass of the uranium atom and v is its velocity.

Determining the particle with the highest kinetic energy:

Since the wavelength of the photon and the de-Broglie wavelength of the electron and uranium atom are identical, it means that their momenta are also equal. However, the kinetic energy of a particle is determined by its mass and velocity.

1. Photon:
Since the photon does not have any mass, its kinetic energy is zero.

2. Electron:
The electron has a much smaller mass compared to a uranium atom. Therefore, for the same momentum, the electron will have a higher velocity and thus a higher kinetic energy compared to the uranium atom.

3. Uranium Atom:
The uranium atom has a much larger mass compared to an electron. Therefore, for the same momentum, the uranium atom will have a lower velocity and thus a lower kinetic energy compared to the electron.

Therefore, the electron will have the highest kinetic energy among the given options.