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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): de-Broglie equation is significant for microscopic particles.
Reason (R): de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.
- a)Both A and R are true and R is the correct explanation of A
- b)Both A and R are true but R is NOT the correct explanation of A
- c)A is true but R is false
- d)A is false and R is true
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Directions : In the following questions, A statement of Assertion (A)...
De-Broglie wavelength, λ = h/mv h and v remaining constant, λ ∝ 1/m So, as the mass of the particle becomes smaller and smaller the de-Broglie wavelength of the particle becomes more and more significant.
Hence, assertion and reason both are true and reason explains the assertion properly.
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Directions : In the following questions, A statement of Assertion (A)...
Assertion: de-Broglie equation is significant for microscopic particles.
Reason: de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.
The correct answer is option 'A', which means both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
Explanation:
The de-Broglie equation is a fundamental equation in quantum mechanics that relates the wavelength of a particle to its momentum. It was proposed by Louis de Broglie and is given by the equation:
λ = h / p
where λ is the de-Broglie wavelength, h is the Planck's constant, and p is the momentum of the particle.
The de-Broglie wavelength is significant for microscopic particles because it demonstrates the wave-particle duality of matter. According to quantum mechanics, particles such as electrons, protons, and neutrons exhibit both particle-like and wave-like properties.
The reason provided in the statement is that the de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant. This can be derived from the de-Broglie equation.
If we rearrange the equation as:
p = h / λ
Since the velocity of a particle is given by v = p / m, where m is the mass of the particle, we can substitute the expression for momentum:
v = (h / λ) / m
Rearranging this equation gives us:
λ = h / (m * v)
From this equation, it is clear that the de-Broglie wavelength is inversely proportional to the mass of the particle when the velocity is kept constant. This means that lighter particles have longer wavelengths compared to heavier particles when their velocities are the same.
Therefore, both the assertion and the reason are true, and the reason correctly explains why the de-Broglie equation is significant for microscopic particles.
Reason: de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.
The correct answer is option 'A', which means both the assertion and the reason are true, and the reason is the correct explanation of the assertion.
Explanation:
The de-Broglie equation is a fundamental equation in quantum mechanics that relates the wavelength of a particle to its momentum. It was proposed by Louis de Broglie and is given by the equation:
λ = h / p
where λ is the de-Broglie wavelength, h is the Planck's constant, and p is the momentum of the particle.
The de-Broglie wavelength is significant for microscopic particles because it demonstrates the wave-particle duality of matter. According to quantum mechanics, particles such as electrons, protons, and neutrons exhibit both particle-like and wave-like properties.
The reason provided in the statement is that the de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant. This can be derived from the de-Broglie equation.
If we rearrange the equation as:
p = h / λ
Since the velocity of a particle is given by v = p / m, where m is the mass of the particle, we can substitute the expression for momentum:
v = (h / λ) / m
Rearranging this equation gives us:
λ = h / (m * v)
From this equation, it is clear that the de-Broglie wavelength is inversely proportional to the mass of the particle when the velocity is kept constant. This means that lighter particles have longer wavelengths compared to heavier particles when their velocities are the same.
Therefore, both the assertion and the reason are true, and the reason correctly explains why the de-Broglie equation is significant for microscopic particles.
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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): de-Broglie equation is significant for microscopic particles.Reason (R): de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'A'. Can you explain this answer?
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Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): de-Broglie equation is significant for microscopic particles.Reason (R): de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'A'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): de-Broglie equation is significant for microscopic particles.Reason (R): de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): de-Broglie equation is significant for microscopic particles.Reason (R): de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'A'. Can you explain this answer?.
Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): de-Broglie equation is significant for microscopic particles.Reason (R): de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'A'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): de-Broglie equation is significant for microscopic particles.Reason (R): de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): de-Broglie equation is significant for microscopic particles.Reason (R): de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Directions : In the following questions, A statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): de-Broglie equation is significant for microscopic particles.Reason (R): de-Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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