1.

Doubly ionised helium atoms and hydrogen ions are final velocities of helium and of the hydrogen ions is :

Answer»

2
`sqrt2`
`(1)/(2)`
`(1)/(sqrt2)`

Solution :`((1)/(2)Me_(he)v_(he)^(2))/((1)/(2)M_(h)v_(h)^(2))=(QV)/(q.V)=(q)/(q.)""....(1)`
Here q= CHARGE on helium ION
`:.` q= change on HYDROGEN ion
`:. (q)/(q.)=(2)/(1) and (M_(h))/(M_(he))=(1)/(4)`
From eqn. `(1),((v_(he))^(2))/((v_(h))^(2))=(q)/(q)xx(M_(h))/(M_(he))`
From eqn . `=(2)/(1)xx(1)/(4)=(1)/(2)`
`:. (v_(he))/(v_(h))=(1)/(sqrt(2))`


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