If a suitable photon is employed to locate an electron (mass (=9.11 10⁻³¹ ~kg )) in an atom within a distance of (10.98 ~nm ), the uncertainty involved in the measurement of its velocity in ( ms ⁻¹ ) is

Step-by-step solution

Given, Mass of electron (=9.11 10⁻³¹ ~kg ) Position of electron (=10.98 ~nm ) (=10.98 10⁻⁹ ~m ) Here, Planck constant (=6.63 10⁻³⁴ Js ) ( v=? ) According to Heisenberg uncertainty ( aligned x. & v= h 4 m v & = 6.63 10⁻³⁴ Js 4 9.11 10⁻³¹ ~kg 10.98 10⁻⁹ ~m v & = 1.6565 10^4 v & = uncertainty in velocity of electron aligned )