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A charged particle of charge q and mass ...

A charged particle of charge q and mass m enters a magnetic field as shown. Find radius of the circular path and the time spent inside the field. Neglect gravity.

A

`(R pi theta)/(v)`

B

`(R(pi -2 theta))/(v)`

C

`R ((pi + 2 theta)/(v))`

D

`(2 R theta)/(v)`

Text Solution

Verified by Experts

The correct Answer is:
B

Angle subtended at the centre `= pi - 2 theta` Time spent inside the field. `t= ("arc length")/("speed")`
`=(R(pi - 2theta))/(v)`
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Knowledge Check

  • A charge particle of charge 'q' and mass 'm' enters in a given magnetic field 'B' and perpendicular to the magnetic field as shown in the figure. It enters at an angle of 60^(@) with the boundary surface of magnetic field and comes out at an angle of 30^(@) with the boundary surface of the magnetic field as shown in the figure. Find width 'd' in which magnetic field exist.

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