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An accelerated electron has a speed of 5...

An accelerated electron has a speed of `5 xx 10^6 ms^(-1)` with an uncertainty of 0.02%. The uncertainty in finding its location while in motion is `x xx 10^(-9)` m. The value of x is __________ . (Nearest integer) [Use mass of electron `= 9.1 xx 10^(-31) kg, h = 6.63 xx 10^(-34) Js, pi = 3.14`]

Text Solution

Verified by Experts

The correct Answer is:
58
Uncertainty in speed of electron ` =(0.02)/100xx5xx10^6`
`= 10^3 ms^(-1)`
`mDeltavxxDeltax=h/(4pi)`
`Deltax=(6.63xx10^(-34))/(4xx3.14 xx9.1 xx10^(-31)xx10^3)`
`=5.80 xx10^(-8)m = 58.00xx10^(-9)m`
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