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A proton and electron are lying in a box...

A proton and electron are lying in a box having unpenetrable walls,the ratio of uncertainty in their velociteis are ………..[`m_(e)`=mass of electron and `m_(p)`=mass of proton.]

A

`(m_(2))/(m_(p))`

B

`m_(e).m_(p)`

C

`sqrt(m_(e).m_(p))`

D

`sqrt((m_(e))/(m_(p)))`

Text Solution

Verified by Experts

The correct Answer is:
A
According to heisenberg.s uncertainty principle
`Deltax.Deltap=(h)/(2pi)=h`
`therefore Deltax.Delta(mv)=h`
`thereforex.mDeltav=h`
`therefore v=(h)/(mDeltax)`
`therefore Deltav prop (1)/(m) therefore (Deltav_(p))/(Deltav_(e))=(m_(e))/(m_(p))`
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