A beam of 30 emv alpha -  particle is to be obtained from 50 cm cyclotrone. Find the strength of the magnetic field to be applied

Asked by Mallikarjun1972 | 30th Jul, 2020, 04:03: PM

Expert Answer:

K i n e t i c space e n e r g y space o f space a l p h a space p a r t i c l e space K equals 30 M e V
K equals 1 half m v squared
v equals square root of fraction numerator 2 K over denominator m end fraction end root
N o w space w e space k n o w space t h a t space
fraction numerator m v squared over denominator r end fraction equals q v B

fraction numerator m v over denominator r end fraction equals q B
m over r cross times square root of fraction numerator 2 K over denominator m end fraction end root equals q B
B equals fraction numerator square root of 2 K m end root over denominator r q end fraction
B equals fraction numerator square root of 2 cross times 30 cross times 10 to the power of 6 cross times 1.6 cross times 10 to the power of negative 19 end exponent cross times 6.64 cross times 10 to the power of negative 27 end exponent end root over denominator 0.5 cross times 2 cross times 1.6 cross times 10 to the power of negative 19 end exponent end fraction
B equals 1.5 T left parenthesis a p p r o x right parenthesis

Answered by Utkarsh Lokhande | 30th Jul, 2020, 06:02: PM

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