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Directions: In the following question, two statements are given. One is assertion and the other is reason. Examine the statements carefully and mark the correct answer according to the instructions given below.
Assertion: Mass of moving photon varies inversely as the wavelength.
Reason: Energy of the particle = Mass x (speed of light)2
 
  • a)
    Both the assertion and reason are true and the reason explains the assertion.
  • b)
    Both the assertion and reason are true but the reason does not explain the assertion
  • c)
    Assertion is true, but reason is false.
  • d)
    Assertion is false, but reason is true.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Directions: In the following question, two statements are given. One i...
Assertion: Mass of moving photon varies inversely as the wavelength.
Reason: Energy of the particle = Mass x (speed of light)2

The correct answer is option 'A', which states that both the assertion and reason are true and the reason explains the assertion.

Explanation:

Photons and their properties:
- Photons are elementary particles that exhibit properties of both particles and waves.
- They are the fundamental units of light and electromagnetic radiation.
- Photons have zero rest mass, meaning they only have mass when they are in motion.

Assertion: Mass of moving photon varies inversely as the wavelength.
- This assertion is true.
- According to the de Broglie hypothesis, any particle with momentum can be associated with a wavelength.
- The wavelength of a photon is inversely proportional to its momentum.
- Since mass is directly proportional to momentum for a photon, the mass of a moving photon is inversely proportional to its wavelength.

Reason: Energy of the particle = Mass x (speed of light)2
- This reason is also true.
- According to Einstein's theory of relativity, the energy of a particle is given by the equation E = mc^2, where E is the energy, m is the mass, and c is the speed of light.
- This equation shows that mass and energy are interchangeable, and the energy of a particle is directly proportional to its mass.
- Therefore, the energy of a photon is directly proportional to its mass.

Explanation of the relationship between the assertion and reason:
- The assertion states that the mass of a moving photon varies inversely as the wavelength.
- The reason supports this assertion by explaining that the energy of a photon, which is directly proportional to its mass, can be calculated using the equation E = mc^2.
- As the wavelength of a photon decreases, its momentum and energy increase, resulting in an increase in mass according to the equation E = mc^2.
- Similarly, as the wavelength of a photon increases, its momentum and energy decrease, resulting in a decrease in mass.
- This inverse relationship between mass and wavelength is consistent with the assertion.

Conclusion:
- The assertion and reason are both true and the reason explains the assertion.
- Therefore, option 'A' is the correct answer.
Free Test
Community Answer
Directions: In the following question, two statements are given. One i...
Using E = mc2
Comparing both quantities,
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Directions: In the following question, two statements are given. One is assertion and the other is reason. Examine the statements carefully and mark the correct answer according to the instructions given below.Assertion: Mass of moving photon varies inversely as the wavelength.Reason: Energy of the particle = Mass x (speed of light)2a)Both the assertion and reason are true and the reason explains the assertion.b)Both the assertion and reason are true but the reason does not explain the assertionc)Assertion is true, but reason is false.d)Assertion is false, but reason is true.Correct answer is option 'A'. Can you explain this answer?
Question Description
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