Electric Field Due to Disk and Infinitely Large Sheet
Several proto...
Question
Several protons of different speeds enter a uniform magnetic field confined in a cylindrical region. Each proton enters field radially, then choose correct options about time interval spent by them in magnetic field.
A
Faster is particle, lesser is time
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B
Faster is particle, greater is time
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C
Slower is particle, greater is time
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D
Time is independent of speed
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Solution
The correct options are A Faster is particle, lesser is time C Slower is particle, greater is time Time taken = distancespeed = rθv r=mvqB Therefore, time taken = mθqB∝θ From the diagram, tanθ2=Rr=RqBmv If v increases, θ decreases, so time also decreases.