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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 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.
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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