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Question

An electron has a speed of 40m/s, accurate up to 99.99%. what is the uncertainty in locating its position(in m)?

A
0.0144m
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B
0..0258m
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C
0.0568m
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D
0.0395m
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Solution

The correct option is A 0.0144m
According to Uncertainity principle
Δx. mΔv = h4π

Δv = 40 m/s (Accurate upto 99.99%)

= 10099.99100 x 40
= 0.004 m/s

m=9.1×1031 kg
Δx = h4π.mΔv

Δx = 6.626×10344×3.14×9.1×1031×0.004

Δx = 0.0144 m

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