What is uncertainty in velocity of an electron if uncertainty in measurement of position is 50 pm ? (m_e = 9.1 10^ -31 kg ,\ h = 6.63 10^ -34 Js ,\ = 3.142)

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Correct answer: B. 1.16 10^6\ ms ^ -1

According to Heisenberg's uncertainty principle: x p h 4 x m v = h 4 v = h 4 m x Substituting the given values: v = 6.63 10^ -34 4 3.142 9.1 10^ -31 50 10^ -12 v = 6.63 10^ -34 5718.44 10^ -43 v = 1.1594 10^6 ms ^ -1 1.16 10^6 ms ^ -1 Answer: 1.16 10^6\ ms ^ -1

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