AP EAMCET202018 Sep 2020Morning ShiftChemistryStructure of AtomActual
The uncertainty in the position of an electron moving with velocity of (3 10^4 ~cm / s ) is (given mass of electron (=9.1 10⁻²⁸ ), uncertainty in velocity (= 0. 0 2 % ))
Options
- A(1.8 10⁻³ ~cm )
- B(9 10⁻³ ~cm )
- C(3.8 10⁻² ~cm )
- D(1.8 10⁻⁴ ~cm )
Correct answer
B. (9 10⁻³ ~cm )
Step-by-step solution
Heisenberg's uncertainty equation, ( array ll x P h 4 x m v h 4 x= uncertainty in position P=m v= uncertainty in momentum x= h 4 m v array ) ( aligned & = 6.626 10⁻²⁷ erg s 4 3.14 (9.1 10⁻²⁸ ~g ) (3 10^4 0.02 100 ~cm ~s ⁻¹ ) & =9.66 10⁻³ ~cm aligned ) So, in option (b) answer should be written as (9.66 10⁻³ ~cm ) or (9 10⁻³ ~cm ).