A proton and an a-particle enter in a uniform magnetic field perpendicularly with same speed. The will b ratio of time periods of both particle `(T_(p
A proton and an a-particle enter in a uniform magnetic field perpendicularly with same speed. The will b ratio of time periods of both particle `(T_(p)/(T_(alpha))` will be
A. `1:2`
B. `1:3`
C. `2:1`
D. `3:1`
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Correct Answer - A
The time period of revolution of a charged particle in a magnetic field is
`T=(2pim)/(Bq)`
For proton, `m_(p)=m, q_(p)=q, therefore T_(p)=(2pi m)/(Bq)`
Now, for `alpha`- particle, `m_(alpha)=4m, q_(alpha)=2q`
`therefore" "T_(alpha)=(2pi(4m))/(B(2q))=2((2pim)/(Bq))" "rArr" "(T_(p))/(T_(alpha))=(1)/(2)`
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