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The minimum values of uncertainties invo...

The minimum values of uncertainties involved in the determination of both the position and velocity of a particle respectively are `1xx10^(-10)mand1xx10^(-10)ms^(-1)`. Then, the mass (in kg) of the particle is

A

`5.270xx10^(-15)`

B

`5.270xx10^(-20)`

C

`5.270xx10^(-16)`

D

`5.270xx10^(-10)`

Text Solution

Verified by Experts

The correct Answer is:
A
Given uncertainly in position `=1xx10^(-10)m`
Unceratinly in velocity
`=1xx10^(-10)m//s`
From equation `mxxDeltavxxDeltax=h/(4pi)`
So, `m=h/(4pixxDeltax xxDeltav)`
`=(6.626xx10^(-34))/(4xx3.14xx10^(-10)xx10^(-10))`
Mass (m) =`5.27xx10^(-15)kg`
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