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Two protons with different velocity ente...

Two protons with different velocity enter a region having a uniform magnetic field that is perpendicular to their velocities. The region is large enough that the protons can execute complete circular trajectories. How do the radii of their circular paths compare? Which particle takes longer to complete one revolution?

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To solve the problem, we will analyze the motion of two protons entering a uniform magnetic field that is perpendicular to their velocities. We will derive the expressions for the radius of their circular paths and the time taken to complete one revolution. ### Step-by-Step Solution: 1. **Understanding the Motion of Charged Particles in a Magnetic Field:** When a charged particle moves in a magnetic field, it experiences a magnetic force that acts as a centripetal force, causing it to move in a circular path. 2. **Formula for the Radius of Circular Motion:** ...
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AAKASH INSTITUTE ENGLISH-MOVING CHARGE AND MAGNESIUM-SECTION D
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  9. A: When currents vary with time, Newton's third law is valid only if m...

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  10. A: In the expression for Lorentza force, vecF=q(vecvxxvecB+vecE). If o...

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  11. A: Ampere circuital law is not independent of the Biot- Savart's law. ...

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  12. A: The work done by magnetic field on a moving charge is zero. R: Th...

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  13. A: In any magnetic field region the line integral ointvecB.vec(dl) alo...

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  14. A: The magnetic field always accelerates a moving charge if the moving...

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  15. A: The magnetic moment of a current carrying planar loop does depend o...

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  16. A: magnetic field is produced by moving charges(s). R: The magnetic ...

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