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Question:
A magnetic field of (10-4\(\hat{k}\))T exerts a force of (4\(\hat{i}\)-3\(\hat{j}\))x10-12N on a particle having a charge of 10-9 C. The speed of the particle is:
A magnetic field of (10-4\(\hat{k}\))T exerts a force of (4\(\hat{i}\)-3\(\hat{j}\))x10-12N on a particle having a charge of 10-9 C. The speed of the particle is:
Updated On: Sep 23, 2024
40 m/s
40\(\sqrt{2}\) m/s
50 m/s
50\(\sqrt{3}\) m/s
100\(\sqrt{2}\)m/s
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The Correct Option is C
Solution and Explanation
The correct answer is (C): 50 m/s
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Concepts Used:
Magnetic Field
The magnetic field is a field created by moving electric charges. It is a force field that exerts a force on materials such as iron when they are placed in its vicinity. Magnetic fields do not require a medium to propagate; they can even propagate in a vacuum. Magnetic field also referred to as a vector field, describes the magnetic influence on moving electric charges, magnetic materials, and electric currents.
A magnetic field can be presented in two ways.
- Magnetic Field Vector: The magnetic field is described mathematically as a vector field. This vector field can be plotted directly as a set of many vectors drawn on a grid. Each vector points in the direction that a compass would point and has length dependent on the strength of the magnetic force.
- Magnetic Field Lines: An alternative way to represent the information contained within a vector field is with the use of field lines. Here we dispense with the grid pattern and connect the vectors with smooth lines.
Properties of Magnetic Field Lines
- Magnetic field lines never cross each other
- The density of the field lines indicates the strength of the field
- Magnetic field lines always make closed-loops
- Magnetic field lines always emerge or start from the north pole and terminate at the south pole.
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