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Q.

Select the correct statements :

            I) A proton and an alpha particle having the same kinetic energy are moving in circular paths in

            a uniform magnetic field. The radii of their circular paths will be equal.

            II) Any two charged particles having equal kinetic energies and entering a region of uniform

            magnetic field in a direction perpendicular to , will describe circular trajectories of equal

            radii.

            III) If a proton and an particle enter a uniform magnetic field perpendicularly, with the same

            speed, the time period of revolution of particle is double that of proton.

            IV) In a magnetic field, the time period of revolution of a charged particle is directly  

            proportional mass.

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a

I, II and III are correct

b

All are correct

c

I, III and IV are correct

d

II, III and IV are correct

answer is A.

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Detailed Solution

Any two charged particles having equal kinetic energies and entering a region

  of uniform magnetic field in a direction perpendicular to , will describe circular trajectories

    of unequal radii.

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Select the correct statements :            I) A proton and an alpha particle having the same kinetic energy are moving in circular paths in            a uniform magnetic field. The radii of their circular paths will be equal.            II) Any two charged particles having equal kinetic energies and entering a region of uniform            magnetic field in a direction perpendicular to , will describe circular trajectories of equal            radii.            III) If a proton and an particle enter a uniform magnetic field perpendicularly, with the same            speed, the time period of revolution of particle is double that of proton.            IV) In a magnetic field, the time period of revolution of a charged particle is directly              proportional mass.