An `alpha` particle travels inside a strainght hollow tube 2m long of a particle acceleration under uniform acceleration. How long is the particle in the tube if it enters at a speed of `1000 m//s` and leaves at `9000 m//s`. What is its acceleration during this interval?

Explanation

Let .a. be the uniform acceleration of `alpha` - particle According to given problems s = 2m,
`v = 9000 m//s and u =1000 m//s.`
Since `v^(2) -u^(2) = 2aS`,
`(9000)^(2) - (1000)^(2) = 2a(2)`
`rArr a = 2 xx 10^(7) m//s^(2)`
Let the particle remains in the tube for time .t., then v = u + at
`rArr t = ( v-u)/(a) = (9000 - 1000)/(2 xx 10^(7)) = 4xx 10^(-4)s`