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Statement-1: Two photons having equal wavelengths have equal linear momenta.


Statement-2: When light shows its photon character, each photon has a linear momentum p = .

  • a)
     Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.

  • b)
    Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.

  • c)
    Statement-1 is true, statement-2 is false.

  • d)
    Statement-1 is false, statement-2 is true.

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Statement-1: Two photons having equal wavelengths have equal linear mo...
Correct Answer :- d
Explanation : Statement I is incorrect
The correct statement is : Two photons having Equal linear momenta have equal wavelengths.
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Statement-1: Two photons having equal wavelengths have equal linear mo...
Statement-1: Two photons having equal wavelengths have equal linear momenta.

Statement-2: When light shows its photon character, each photon has a linear momentum p = h/λ.

Explanation:

Statement-1: Two photons having equal wavelengths have equal linear momenta.
This statement is true. The momentum of a photon is given by the equation p = h/λ, where p is the linear momentum, h is Planck's constant, and λ is the wavelength of the photon. If two photons have the same wavelength, then their momenta will be equal.

Statement-2: When light shows its photon character, each photon has a linear momentum p = h/λ.
This statement is also true. According to the particle-wave duality of light, light can exhibit both wave-like and particle-like behavior. When light behaves as a particle, it can be described as a collection of photons. Each photon carries a certain amount of energy and momentum. The momentum of a photon is given by the equation p = h/λ, where h is Planck's constant and λ is the wavelength of the photon. This equation shows the relationship between the momentum and wavelength of a photon.

Explanation of the correct answer:
The correct answer is option 'D', which states that Statement-1 is false and Statement-2 is true.

Explanation:
- The reason for Statement-1 being false is that it states that two photons with equal wavelengths have equal linear momenta. However, this is incorrect because the momentum of a photon depends on its wavelength. Two photons with different wavelengths will have different momenta, even if their wavelengths are equal.
- On the other hand, Statement-2 is true as it correctly states that the linear momentum of a photon is given by p = h/λ, where p is the momentum, h is Planck's constant, and λ is the wavelength of the photon. This equation is derived from the wave-particle duality of light and is widely accepted in quantum mechanics.

In summary, Statement-1 is false because the momentum of a photon depends on its wavelength, and Statement-2 is true because it correctly describes the relationship between the linear momentum and wavelength of a photon.
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Statement-1: Two photons having equal wavelengths have equal linear momenta.Statement-2: When light shows its photon character, each photon has a linear momentum p = .a)Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.b)Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.c)Statement-1 is true, statement-2 is false.d)Statement-1 is false, statement-2 is true.Correct answer is option 'D'. Can you explain this answer?
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Statement-1: Two photons having equal wavelengths have equal linear momenta.Statement-2: When light shows its photon character, each photon has a linear momentum p = .a)Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.b)Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.c)Statement-1 is true, statement-2 is false.d)Statement-1 is false, statement-2 is true.Correct answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Statement-1: Two photons having equal wavelengths have equal linear momenta.Statement-2: When light shows its photon character, each photon has a linear momentum p = .a)Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.b)Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.c)Statement-1 is true, statement-2 is false.d)Statement-1 is false, statement-2 is true.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Statement-1: Two photons having equal wavelengths have equal linear momenta.Statement-2: When light shows its photon character, each photon has a linear momentum p = .a)Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1.b)Statement-1 is true, statement-2 is true and statement-2 is NOT the correct explanation for statement-1.c)Statement-1 is true, statement-2 is false.d)Statement-1 is false, statement-2 is true.Correct answer is option 'D'. Can you explain this answer?.
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