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Question
Uncertainty in the position of an electron (mass = 9.1 × 10−31 kg) moving with a velocity 300 ms−1, accurate upto 0.001% will be
Uncertainty in the position of an electron (mass = 9.1 × 10−31 kg) moving with a velocity 300 ms−1, accurate upto 0.001% will be
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Solution
The correct option is A
Given m = 9.1 × 10−31 kg
h = 6.6 × 10−34 Js
Δv = 300 × 0.001100 = 0.003 ms−1
From Heisenberg's uncertainity principle
Δx = 6.62 × 10−344 × 3.14 × 0.003 × 9.1 × 10−31
= 1.92 × 10−2 m
Given m = 9.1 × 10−31 kg
h = 6.6 × 10−34 Js
Δv = 300 × 0.001100 = 0.003 ms−1
From Heisenberg's uncertainity principle
Δx = 6.62 × 10−344 × 3.14 × 0.003 × 9.1 × 10−31
= 1.92 × 10−2 m