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If velocity of an electron is (2 i 3j) and it enters a magnetic field of 4k^ T, then (i) it will move in the direction of B (ii) it will move in the direction opposite to B (iii) direction of its velocity will change (iv) its speed will change?
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If velocity of an electron is (2 i 3j) and it enters a magnetic fiel...
Understanding Electron's Motion in a Magnetic Field
When an electron with a velocity vector of (2i + 3j) enters a magnetic field of 4k T, we can analyze its motion based on the principles of electromagnetism.
Magnetic Force on the Electron
- The magnetic force (F) on a charged particle moving in a magnetic field is given by the equation:
F = q(v x B)
- Here, q is the charge of the electron, v is its velocity vector, and B is the magnetic field vector.
Direction of Motion
1. Direction of B: The magnetic field is directed along the k-axis (4k T).
2. Velocity Vector: The electron's velocity is in the plane formed by the i and j components.
3. Cross Product: The cross product of the velocity vector and the magnetic field gives the direction of the force acting on the electron.
Implications of Motion
- (i) It will move in the direction of B: False. The electron will not move in the direction of the magnetic field because the magnetic force acts perpendicular to both the velocity and the magnetic field.
- (ii) It will move in the direction opposite to B: False. The magnetic force does not cause the electron to move in the direction opposite to B.
- (iii) Direction of its velocity will change: True. The electron will experience a force that changes its direction, causing circular or helical motion.
- (iv) Its speed will change: False. The magnetic force does not do work on the electron; hence, it does not change the speed, only the direction.
In summary, the electron will change its direction of motion but maintain its speed while moving in a circular path due to the magnetic field.
When an electron with a velocity vector of (2i + 3j) enters a magnetic field of 4k T, we can analyze its motion based on the principles of electromagnetism.
Magnetic Force on the Electron
- The magnetic force (F) on a charged particle moving in a magnetic field is given by the equation:
F = q(v x B)
- Here, q is the charge of the electron, v is its velocity vector, and B is the magnetic field vector.
Direction of Motion
1. Direction of B: The magnetic field is directed along the k-axis (4k T).
2. Velocity Vector: The electron's velocity is in the plane formed by the i and j components.
3. Cross Product: The cross product of the velocity vector and the magnetic field gives the direction of the force acting on the electron.
Implications of Motion
- (i) It will move in the direction of B: False. The electron will not move in the direction of the magnetic field because the magnetic force acts perpendicular to both the velocity and the magnetic field.
- (ii) It will move in the direction opposite to B: False. The magnetic force does not cause the electron to move in the direction opposite to B.
- (iii) Direction of its velocity will change: True. The electron will experience a force that changes its direction, causing circular or helical motion.
- (iv) Its speed will change: False. The magnetic force does not do work on the electron; hence, it does not change the speed, only the direction.
In summary, the electron will change its direction of motion but maintain its speed while moving in a circular path due to the magnetic field.
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If velocity of an electron is (2 i 3j) and it enters a magnetic field of 4k^ T, then (i) it will move in the direction of B (ii) it will move in the direction opposite to B (iii) direction of its velocity will change (iv) its speed will change?
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If velocity of an electron is (2 i 3j) and it enters a magnetic field of 4k^ T, then (i) it will move in the direction of B (ii) it will move in the direction opposite to B (iii) direction of its velocity will change (iv) its speed will change? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If velocity of an electron is (2 i 3j) and it enters a magnetic field of 4k^ T, then (i) it will move in the direction of B (ii) it will move in the direction opposite to B (iii) direction of its velocity will change (iv) its speed will change? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If velocity of an electron is (2 i 3j) and it enters a magnetic field of 4k^ T, then (i) it will move in the direction of B (ii) it will move in the direction opposite to B (iii) direction of its velocity will change (iv) its speed will change?.
If velocity of an electron is (2 i 3j) and it enters a magnetic field of 4k^ T, then (i) it will move in the direction of B (ii) it will move in the direction opposite to B (iii) direction of its velocity will change (iv) its speed will change? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about If velocity of an electron is (2 i 3j) and it enters a magnetic field of 4k^ T, then (i) it will move in the direction of B (ii) it will move in the direction opposite to B (iii) direction of its velocity will change (iv) its speed will change? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If velocity of an electron is (2 i 3j) and it enters a magnetic field of 4k^ T, then (i) it will move in the direction of B (ii) it will move in the direction opposite to B (iii) direction of its velocity will change (iv) its speed will change?.
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