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Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.
Assertion : A proton and an alpha particle having the same kinetic energy are moving in circular paths in a uniform magnetic field. The radii of their circular paths will be equal.
Reason : Any two charged particles having equal kinetic energies and entering a region of uniform magnetic field B in a direction perpendicular to B, will describe circular trajectories of equal radii.
  • a)
    If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
  • b)
    If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
  • c)
    If the Assertion is correct but Reason is incorrect.
  • d)
    If both the Assertion and Reason are incorrect.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Directions: These questions consist of two statements, each printed a...
The radius of the circular path is given by
Since K and B are the same for the two particles,
Now, the charge of an alpha particle is twice that of a proton and its mass is four times the mass of a proton, √ m /q will be same for both particles.
Hence, r will be the same for both particles.
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Most Upvoted Answer
Directions: These questions consist of two statements, each printed a...
Assertion : A proton and an alpha particle having the same kinetic energy are moving in circular paths in a uniform magnetic field. The radii of their circular paths will be equal.

Reason : Any two charged particles having equal kinetic energies and entering a region of uniform magnetic field B in a direction perpendicular to B, will describe circular trajectories of equal radii.

The correct answer is option 'C', which states that the Assertion is correct but the Reason is incorrect. Let's analyze this statement in detail.

Explanation:

Assertion: A proton and an alpha particle having the same kinetic energy are moving in circular paths in a uniform magnetic field. The radii of their circular paths will be equal.

Reason: Any two charged particles having equal kinetic energies and entering a region of uniform magnetic field B in a direction perpendicular to B, will describe circular trajectories of equal radii.

Analysis:

To understand the correctness of the Assertion and Reason, let's break down the information provided:

1. Assertion: A proton and an alpha particle having the same kinetic energy are moving in circular paths in a uniform magnetic field. The radii of their circular paths will be equal.

This statement implies that if a proton and an alpha particle have the same kinetic energy, they will follow circular paths in a uniform magnetic field with equal radii. This assertion is true because the radius of a charged particle's circular path in a magnetic field depends on its mass, charge, and kinetic energy. Since both the proton and the alpha particle have the same kinetic energy, their masses and charges are different. Therefore, the radius of their circular paths will be different.

2. Reason: Any two charged particles having equal kinetic energies and entering a region of uniform magnetic field B in a direction perpendicular to B, will describe circular trajectories of equal radii.

This reason is incorrect because the radius of a charged particle's circular path depends not only on its kinetic energy but also on its mass and charge. Even if two charged particles have equal kinetic energies and enter a region of uniform magnetic field B in a direction perpendicular to B, their masses and charges can be different, resulting in different radii of their circular paths.

Conclusion:

Based on the analysis, it can be concluded that the Assertion is correct because particles with the same kinetic energy will have different circular paths due to their different masses and charges. However, the Reason is incorrect because it overlooks the dependence of the circular path's radius on the particle's mass and charge. Therefore, the correct answer is option 'C' - the Assertion is correct, but the Reason is incorrect.
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Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.Assertion : A proton and an alpha particle having the same kinetic energy are moving in circular paths in a uniform magnetic field. The radii of their circular paths will be equal.Reason : Any two charged particles having equal kinetic energies and entering a region of uniform magnetic field B in a direction perpendicular to B, will describe circular trajectories of equal radii.a)If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.b)If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.c)If the Assertion is correct but Reason is incorrect.d)If both the Assertion and Reason are incorrect.Correct answer is option 'C'. Can you explain this answer?
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Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.Assertion : A proton and an alpha particle having the same kinetic energy are moving in circular paths in a uniform magnetic field. The radii of their circular paths will be equal.Reason : Any two charged particles having equal kinetic energies and entering a region of uniform magnetic field B in a direction perpendicular to B, will describe circular trajectories of equal radii.a)If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.b)If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.c)If the Assertion is correct but Reason is incorrect.d)If both the Assertion and Reason are incorrect.Correct answer is option 'C'. 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 Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.Assertion : A proton and an alpha particle having the same kinetic energy are moving in circular paths in a uniform magnetic field. The radii of their circular paths will be equal.Reason : Any two charged particles having equal kinetic energies and entering a region of uniform magnetic field B in a direction perpendicular to B, will describe circular trajectories of equal radii.a)If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.b)If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.c)If the Assertion is correct but Reason is incorrect.d)If both the Assertion and Reason are incorrect.Correct answer is option 'C'. 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 Directions: These questions consist of two statements, each printed as Assertion and Reason. While answering these questions, you are required to choose any one of the following four responses.Assertion : A proton and an alpha particle having the same kinetic energy are moving in circular paths in a uniform magnetic field. The radii of their circular paths will be equal.Reason : Any two charged particles having equal kinetic energies and entering a region of uniform magnetic field B in a direction perpendicular to B, will describe circular trajectories of equal radii.a)If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.b)If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.c)If the Assertion is correct but Reason is incorrect.d)If both the Assertion and Reason are incorrect.Correct answer is option 'C'. Can you explain this answer?.
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