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Uncertainty in the position of an electr...

Uncertainty in the position of an electron mass ` (9. 1 xx 10^(31) kg)` moving with a velocity ` 300 ms^(-1)` accurate uptp ` 0.001 %` will be :

A

`19.2xx10^(-2)m`

B

`5.76xx10^(-2)m`

C

`1.92xx10^(-2)m`

D

`3.84xx10^(-2)m`

Text Solution

Verified by Experts

The correct Answer is:
C
`Deltax*Deltavge(h)/(4pim)`
`Deltax=(6.63xx10^(-34))/(4xx3.14xx9.1xx10^(-31)xx300xx0.011xx10^(-2))`
`=0.01933=1.93xx10^(-2)`
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