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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 ms^(-1)` with an accuracy of 0.005%. Certainty with while the position of the electron can be located is `(h = 6.6xx 10^(-34) kg m^(2)s^(-1))`, mass of electron` m_(e) = 9.1 xx 10^(-31) k`

A

`1.52 xx 10^(-4)m`

B

`5.10 xx 10^(-3)m`

C

`1.92 xx 10^(-3)m`

D

`3.84xx10^(-3)m`

Text Solution

Verified by Experts

The correct Answer is:
C
Using Heisenberg.s uncertainty principle, `Delta x.m Deltav=(h)/(4pi) or Delta x =(h)/(4pim Delta v)`
Given that `Deltav=0.005%` of `600 ms^(-1)`, so `Deltav=600xx(0.005)/(100)=0.03 ms^(-1)`
Hence, `Deltax=(6.6xx10^(-34))/(4xx3.14xx9.1 xx 10^(-31) xx 0.03)=1.92 xx 10^(-3)m`
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