Question

If c is the velocity of light in free space, the correct statements about photon among the following are:
A. The energy of a photon is E = hν.
B. The velocity of a photon is c.
C. The momentum of a photon, \(p=\frac{hv}{c}\).
D. In a photon-electron collision, both total energy and total momentum are conserved.
E. Photon possesses positive charge.
Choose the correct answer from the options given below:

• A. A and B only
• B. A, B, C and D only
• C. A, C and D only
• D. A, B, D and E only

Answer 1

The Correct Option is B

The correct selection is Option 2: A, B, C, and D only. Each statement is analyzed below:

Statement Analysis

• A: Photon energy is E = hν.

  This statement is true. The energy of a photon is determined by its frequency (ν) and Planck's constant (h) according to the formula E = hν.

• B: Photon velocity is c.

  This statement is true. Photons propagate at the speed of light in a vacuum, denoted as c (approximately 3 x 10^8 m/s).

• C: Photon momentum is p = hν/c.

  This statement is true. The momentum of a photon can be expressed as p = hν/c, which is consistent with the relationship E = pc.

• D: In a photon-electron collision, total energy and total momentum are conserved.

  This statement is true. Fundamental conservation laws for both energy and momentum are upheld in interactions such as Compton scattering.

• E: Photons possess positive charge.

  This statement is false. Photons are electrically neutral particles; they carry no electric charge.

Evaluating Options

• Option 1: A and B only – Incorrect. This option omits the true statements C and D.
• Option 2: A, B, C, and D only – Correct. This option includes all verified true statements and excludes the false statement E.
• Option 3: A, C, and D only – Incorrect. This option fails to include the true statement B.
• Option 4: A, B, D, and E only – Incorrect. This option erroneously includes the false statement E.

Final Answer

Option 2: A, B, C, and D only