In an atom, an electron is moving with a speed of 600 ~m / s with an accuracy of 0.005 % . Certainty with which the position of the electron can be located is (Given, h=6.6 10⁻³⁴ ~kg ~m ^2 ~s ⁻¹ , mass of electron e_m=9.1 10⁻³¹ ~kg )

Step-by-step solution

Given that velocity of electron, v=600 ~m / s Accuracy of velocity =0.005 % v= 600 0.005 100 =0.03 According to Heisenberg's uncertainty principle x . m v h 4 Or, aligned x & = 6.6 10⁻³⁴ 4 3.14 9.1 10⁻³¹ 0.03 & =1.92 10⁻³ ~m aligned