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A cubical region of space is filled with some uniform electric and magnetic field. An electron enters the cube across one of its faces with velocity v and a positron enters via opposite face with velocity - v. At this instant, which one of the following is not correct?
- a)The electric forces on both the particles cause identical accelerations.
- b)The magnetic forces on both the particles cause equal acceleration.
- c)Both particles gain or loose energy at the same rate.
- d)The motion of the centre of mass is determined by B alone.
Correct answer is option 'A'. Can you explain this answer?
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A cubical region of space is filled with some uniform electric and mag...
Understanding the Scenario
An electron and a positron enter a cubical region of uniform electric and magnetic fields. They have equal but opposite velocities (v and -v), which leads to different interactions with the fields.
Analysis of Forces on the Particles
- The electric force on a charged particle is given by F = qE, where q is the charge and E is the electric field.
- For the electron (charge -e), the force will be opposite to that on the positron (charge +e) when in the same electric field.
Identical Accelerations?
- The acceleration of each particle is determined by F = ma.
- While the magnitude of the electric force on both particles is the same, their accelerations are not identical because they have different masses and charges.
- The electron, being lighter, will experience a larger acceleration than the positron for the same electric force. Thus, statement (a) is incorrect.
Magnetic Forces and Accelerations
- The magnetic force on a moving charge is given by F = q(v x B).
- Although the velocities are equal in magnitude and opposite in direction, the force direction for each particle will also be opposite due to their opposite charges.
- However, the magnitude of the magnetic force will be equal, leading to equal accelerations (b is correct).
Energy Considerations
- Both particles are subject to the same electric and magnetic fields, so they will gain or lose energy at the same rate (c is correct).
Center of Mass Motion
- The motion of the center of mass of the system is determined by the net external forces, which can include magnetic forces acting on the entire system (d is correct).
Conclusion
In summary, the incorrect statement is (a) because the accelerations of the electron and positron, despite having the same electric force, are not identical due to differences in mass and charge.
An electron and a positron enter a cubical region of uniform electric and magnetic fields. They have equal but opposite velocities (v and -v), which leads to different interactions with the fields.
Analysis of Forces on the Particles
- The electric force on a charged particle is given by F = qE, where q is the charge and E is the electric field.
- For the electron (charge -e), the force will be opposite to that on the positron (charge +e) when in the same electric field.
Identical Accelerations?
- The acceleration of each particle is determined by F = ma.
- While the magnitude of the electric force on both particles is the same, their accelerations are not identical because they have different masses and charges.
- The electron, being lighter, will experience a larger acceleration than the positron for the same electric force. Thus, statement (a) is incorrect.
Magnetic Forces and Accelerations
- The magnetic force on a moving charge is given by F = q(v x B).
- Although the velocities are equal in magnitude and opposite in direction, the force direction for each particle will also be opposite due to their opposite charges.
- However, the magnitude of the magnetic force will be equal, leading to equal accelerations (b is correct).
Energy Considerations
- Both particles are subject to the same electric and magnetic fields, so they will gain or lose energy at the same rate (c is correct).
Center of Mass Motion
- The motion of the center of mass of the system is determined by the net external forces, which can include magnetic forces acting on the entire system (d is correct).
Conclusion
In summary, the incorrect statement is (a) because the accelerations of the electron and positron, despite having the same electric force, are not identical due to differences in mass and charge.
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A cubical region of space is filled with some uniform electric and magnetic field. An electron enters the cube across one of its faces with velocity v and a positron enters via opposite face with velocity - v. At this instant, which one of the following is not correct?a)The electric forces on both the particles cause identical accelerations.b)The magnetic forces on both the particles cause equal acceleration.c)Both particles gain or loose energy at the same rate.d)The motion of the centre of mass is determined by B alone.Correct answer is option 'A'. Can you explain this answer?
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A cubical region of space is filled with some uniform electric and magnetic field. An electron enters the cube across one of its faces with velocity v and a positron enters via opposite face with velocity - v. At this instant, which one of the following is not correct?a)The electric forces on both the particles cause identical accelerations.b)The magnetic forces on both the particles cause equal acceleration.c)Both particles gain or loose energy at the same rate.d)The motion of the centre of mass is determined by B alone.Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A cubical region of space is filled with some uniform electric and magnetic field. An electron enters the cube across one of its faces with velocity v and a positron enters via opposite face with velocity - v. At this instant, which one of the following is not correct?a)The electric forces on both the particles cause identical accelerations.b)The magnetic forces on both the particles cause equal acceleration.c)Both particles gain or loose energy at the same rate.d)The motion of the centre of mass is determined by B alone.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cubical region of space is filled with some uniform electric and magnetic field. An electron enters the cube across one of its faces with velocity v and a positron enters via opposite face with velocity - v. At this instant, which one of the following is not correct?a)The electric forces on both the particles cause identical accelerations.b)The magnetic forces on both the particles cause equal acceleration.c)Both particles gain or loose energy at the same rate.d)The motion of the centre of mass is determined by B alone.Correct answer is option 'A'. Can you explain this answer?.
A cubical region of space is filled with some uniform electric and magnetic field. An electron enters the cube across one of its faces with velocity v and a positron enters via opposite face with velocity - v. At this instant, which one of the following is not correct?a)The electric forces on both the particles cause identical accelerations.b)The magnetic forces on both the particles cause equal acceleration.c)Both particles gain or loose energy at the same rate.d)The motion of the centre of mass is determined by B alone.Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A cubical region of space is filled with some uniform electric and magnetic field. An electron enters the cube across one of its faces with velocity v and a positron enters via opposite face with velocity - v. At this instant, which one of the following is not correct?a)The electric forces on both the particles cause identical accelerations.b)The magnetic forces on both the particles cause equal acceleration.c)Both particles gain or loose energy at the same rate.d)The motion of the centre of mass is determined by B alone.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cubical region of space is filled with some uniform electric and magnetic field. An electron enters the cube across one of its faces with velocity v and a positron enters via opposite face with velocity - v. At this instant, which one of the following is not correct?a)The electric forces on both the particles cause identical accelerations.b)The magnetic forces on both the particles cause equal acceleration.c)Both particles gain or loose energy at the same rate.d)The motion of the centre of mass is determined by B alone.Correct answer is option 'A'. Can you explain this answer?.
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ample number of questions to practice A cubical region of space is filled with some uniform electric and magnetic field. An electron enters the cube across one of its faces with velocity v and a positron enters via opposite face with velocity - v. At this instant, which one of the following is not correct?a)The electric forces on both the particles cause identical accelerations.b)The magnetic forces on both the particles cause equal acceleration.c)Both particles gain or loose energy at the same rate.d)The motion of the centre of mass is determined by B alone.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice NEET tests.
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