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

In an atom , an electron is moving with a speed of 600 m/s with an accuracy of `0.05%` . The certainty with which the position of the electron can be located is (h = `6.6 xx 10^(-34) kgm^(2)s^(-1)` , mass of electron , `e_(m) = 9.1 xx 10^(-31)` kg ):

A

`1.52xx10^(-4)m`

B

`5.10xx10^(-3)m`

C

`1.92 xx 10^(-3)m`

D

`3.84 xx 10^(-3)m`

Text Solution

Verified by Experts

The correct Answer is:
C
`Deltax xx Deltap = h/(4pi)`
`Deltax xx [mDeltav] =h/(4pi),`
`Deltav=(600 xx 0.005)/100 =0.03`
So, `Deltax [9.1xx10^(-31) xx 0.03] =( 6.6xx10^(-34))/(4xx3.14)`
`Deltax = (6.6xx10^(-34))/(4xx3.14 xx 9.1xx0.03xx10^(-31))=1.92 xx10^(-3)m`
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