A cyclotron is operating at a frequency of `12xx10^(6)Hz`. Mass of deuteron is `3.3xx10^(-27)` kg and its charge is `1.6xx10^(-19)` C. To accelerate the deuterons, the magnetic induction of the field required is :

Options

A. 16 T
B. 1.6 T
C. 0.16 T
D. 0.016T

Answer

B

Explanation

Here `B q v=(mv^(2))/(r)`
`:. (v)/(r)=(Bq)/(m)`
`:. omega= (Bq)/(m)`
or `2pi n=(Bq)/(m)`
`B=(2pi nm)/(q)`
Here `n=12xx10^(6)Hz`
`m=3*3xx10^(-27)kg`
`q=1*6xx10^(-10)C`
`:.B=(2xx3*14xx12xx10^(6)xx3*3xx10^(-27))/(1*6xx10^(-19))T`
`=1*6T`