Plz solve 5th sum

Asked by lovemaan5500 | 2nd Jan, 2020, 08:48: PM

Expert Answer:

equivalent current due to circular motion of α-particle :-   current = charge passing per unit time  = 2e/T...........(1)
 
where 2e is the charge of α-particle and T is time period of revolution , T = 2πr/v ...................(2)
 
where r is radius of circular orbit and v is speed of alpha particle
 
From eqn.(1) and eqn.(2), we get current i =  2e / (2πr/v)  = (  e v ) / (  π r ) ....................(3)
 
magnetic field B at centre of circular motion of α-particle is given by,   B = ( μo i ) / ( 2 r )  ......................(4)
 
using eqn.(3) and (4),  B  = ( μo e v ) / ( 2π r2 )  = ( 2 ×10-7 × 2 × 1.602 × 10-19 × 2 × 106 ) / ( 2 × 10-20 ) = 6.4 T

Answered by Thiyagarajan K | 2nd Jan, 2020, 10:28: PM

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