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Which of the following statements is true?

  • a)
    The rest mass of a photon is zero and increases as it approaches the speed of light. 

  • b)
    The mass of a photon is always zero 

  • c)
    The mass of a particle always remains the same 

  • d)
    The mass of a particle moving at speeds comparable to  c, is greater than its rest mass

Correct answer is option 'A,D'. Can you explain this answer?
Verified Answer
Which of the following statements is true?a)The rest mass of a photon ...
Correct Answer :- a,d
Explanation : b) mass of a photon is due to its momentum. When photon comes to rest velocity becomes zero thus mv=p=0. Hence rest mass of a photon is zero.
c) Rest mass (m0) is defined as the mass of the object at rest (or in rest frame) which remains constant.
Only the mass of the moving object changes as the speed increases  via m = m0/(1 - v2/c2)1/2
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Most Upvoted Answer
Which of the following statements is true?a)The rest mass of a photon ...
a)
The rest mass of a photon is zero and increases as it approaches the speed of light.
Is completely correct
b)
The mass of a photon is always zero
No, the rest mass of photon is always zero
c)
The mass of a particle always remains the same
No, the rest mass of a particle always remains same
d)
The mass of a particle moving at speeds comparable to c, is greater than its rest mass
Yes, this is correct
So, A,D are correct.
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Community Answer
Which of the following statements is true?a)The rest mass of a photon ...
Rest mass of a photon:
The rest mass of a photon is zero. Rest mass is the mass of an object when it is at rest or moving at a very low speed. Since a photon always travels at the speed of light, it never has a rest mass. This is a fundamental property of photons in the theory of relativity.

Mass of a photon:
The mass of a photon is not always zero. According to the theory of relativity, the mass of an object increases as it approaches the speed of light. This is known as relativistic mass. The relativistic mass of a photon can be calculated using the equation:

m = E/c^2

Where m is the relativistic mass, E is the energy of the photon, and c is the speed of light. Since photons have energy (E = hf, where h is Planck's constant and f is the frequency), they also have mass. However, this mass is not a rest mass, but a relativistic mass.

Mass of a particle:
The mass of a particle can change depending on its speed. The rest mass of a particle is its mass when it is at rest or moving at a very low speed. This rest mass remains constant regardless of the particle's speed. However, when a particle moves at speeds comparable to the speed of light, its relativistic mass increases. The increase in mass is given by the equation:

m = m0/sqrt(1 - v^2/c^2)

Where m is the relativistic mass, m0 is the rest mass, v is the velocity of the particle, and c is the speed of light. As the velocity of the particle approaches the speed of light, its relativistic mass approaches infinity.

Correct statements:
Based on the above explanations, the correct statements are:

a) The rest mass of a photon is zero and increases as it approaches the speed of light.
d) The mass of a particle moving at speeds comparable to c is greater than its rest mass.

The rest mass of a photon is always zero, and as it approaches the speed of light, its relativistic mass increases. Similarly, for particles moving at speeds comparable to the speed of light, their relativistic mass increases and becomes greater than their rest mass.
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