JEE Main202125 Jul 2021Evening ShiftChemistryStructure of AtomActual
An accelerated electron has a speed of 5 × 10 6 ms - 1 with an uncertainty of 0 . 02 % . The uncertainty in finding its location while in motion is x × 10 - 9 m . The value of x is __________. (Nearest integer) [Use mass of electron = 9 . 1 × 10 - 31 kg , h = 6 . 63 × 10 - 34 Js , π = 3 . 14
Correct answer
0
Step-by-step solution
Δ v = 0 . 02 100 × 5 × 10 6 = 10 3   m   s - 1 Δ x · Δv = h 4 πm x × 10 - 9 × 10 3 = 6 . 63 × 10 - 34 4 × 3 . 14 × 9 . 1 × 10 - 31 x × 10 - 9 × 10 3 = 0 . 058 × 10 - 3 x = 0 . 058 × 10 - 6 10 - 9 = 58