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In an atom, an electron is moving with a...

In an atom, an electron is moving with a speed of ` 600 m//s` with an accuracy of ` 0.005%` . Certainty with which the position of the electron can be localized is :
` ( h = 6.6 xx 10^(-34) kg m^2 s^(-1)` ,
mass of electron ` (e_m) = 9. 1 xx10^(-31) kg)`.

A

`1.52xx10^(-4)m`

B

`5.10xx10^(-3)m`

C

`1.92xx10^(-3)`

D

`3.84xx10^(-3)m`

Text Solution

Verified by Experts

The correct Answer is:
C
Given, velocity of `e^(-), v=600ms^(-1)`
Accuracy of velocity `=0.005%" "therefore" "Deltav=(600xx0.005)/(100)=0.03`
According to Heisenberg’s uncertainty principle,
`Deltax. mDelta ge (h)/(4pi)" "rArr" "Deltax=(6.6xx10^(-34))/(4xx3.14xx9.1xx10^(-31)xx0.03)=1.92xx10^(-3)m`
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