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)

Step-by-step solution

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