Question

a proton and a alpha particle enters at right angle in region of uniform magnetic field with same speed.the ratio of their time period is
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Answer 1

Answer:

1:2

Explanation:

Answer 2

Answer:1/2

Explanation:

Let 'e' be the charge of proton

'm' be the mass of one nucleon (proton or neutron)

'v' be the velocity of proton and alpha particle

'T1' be the time period of proton

'T2' be the time period of alpha particle

(Proton has mass of one nucleon and alpha particle has mass of 4 nucleon)

(Proton has 1e charge and alpha particle has 2e charge)

Time period of a charged particle in a uniform magnetic field 'B' is given as

T = (2πm)/qB

Where q is charge on particle

Hence

T1 = 2πm/eB

T2 = 2π(4m)/2eB

Taking ratio of these two equations

T1/T2 = 2/4 = 1/2

Thus the ratio of their time period is

1/2