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A beam of protons enters a uniform magne...

A beam of protons enters a uniform magnetic field of 0.3T with velocity of `4xx10^5m//s` in a direction making an angle of `60^(@)` with the direction of magnetic field. The path of motion of the particle will be

A

circular

B

Straight line

C

Spiral

D

helical

Text Solution

Verified by Experts

The correct Answer is:
D
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A beam of protons enters a uniform magnetic field of 0.3 T,with a velocity of 4xx10^(5)ms^(-5), in a direction making an angle of 60^(@) with the direction of magnetic field.Determine (i) the path of motion of the particles (ii) the radius of the path of the particles (iii) the pitch of the helix.

A beam of electrons enters a uniform magnetic field of 0*3T with a velocity of 4xx10^5ms^-1 at an angle of 60^@ to the field. Find the radius of the helical path taken by the beam. Also find the pitch of the helix (distance travelled by a proton parallel to the magnetic field during one period of rotation). Mass of proton is 1*67xx10^(-27)kg .

Knowledge Check

  • A charged particle enters into a magnetic field with velocity vector making an angle of 30^@ with respect of the direction of magnetic field. The path of the particle is

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  • A proton enters a magnetic field of 1.5 T with a velocity of 2 xx 10^(7) ms^(-1) at an angle of 30^@ with the field. The force on the proton will be

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