CBSE Class 12-science Answered
Why the ions can not be accelerated beyond a certain limit in a cyclotron?
Asked by Topperlearning User | 18 May, 2015, 02:02: PM
Expert Answer
As the speed of the ions increases, its mass also increases according to the relation-
Where m0 = the rest mass of the ion
m = the mass of ion while moving with velocity
c = velocity of light.
Now, the time taken by the ion to describe semicircular path is given by
It shows that as v increases, t increases. It means that the positive ion will take longer time to describe semicircular path than the time for half cycle of oscillating electric field. As a result, the ion will not arrive in the gap between the two dees exactly at the instant; the polarity of the two dees is reversed and hence will not be accelerated further.
Answered by | 18 May, 2015, 04:02: PM
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