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A beam of protons with a velocity 4 x 105m/sec enters a uniform magnetic field of 0.3 tesla at an angle of 60oto the magnetic field.Find the radius of the helical path taken by the proton beam. Also find the pitch of the helix (which is the distance travelled by a proton in the beam parallel to the magnetic field during one period of rotation).ans:radius =0.012mpitch=0.044m

Aditi Chauhan , 11 Years ago
Grade 10
anser 1 Answers
ROSHAN MUJEEB

Last Activity: 4 Years ago

dear student,
The radius of helical path:r=Bqmv⊥​​
=Bqmvsinθ​=(0.3)(1.6×10−19)(1.67×10−27)(4×105)(sin60o)​
=1.2×10−2m

Pitch of helical path,p=v∥​×T
P=(Bq2πm​)(vcosθ)
=(03.)(1.6×10−19)(2π)(1.67×10−27)(4×105)(cos60o)​=4.37×10−2m
hope it helps

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