Notifications
Clear all
Structure of Atom
1
Posts
2
Users
0
Likes
377
Views
0
15/08/2021 11:39 am
Topic starter
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 ( h = 6.6 × 10-34 kg m2 s-1, mass of electron, em = 9.1 × 10-31 kg)
(a) 5.10 × 10-3 m
(b) 1.92 × 10-3 m
(c) 3.84 × 10-3 m
(d) 1.52 × 10-3 m
1 Answer
0
15/08/2021 11:45 am
Correct answer: (b) 1.92 × 10-3 m
Explanation:
According to Heisenberg uncertainty principle.
\(\triangle x.m\triangle v\) = \(\frac{h}{4 \pi}\)
\(\triangle x\) = \(\frac{h}{4 \pi m \triangle v}\)
Here \(\triangle v\) = \(\frac{600 \times 0.005}{100}\)
= 0.03
So, \(\triangle x\) = \(\frac{6 \times 10^{-34}}{4 \times 3.14 \times 9.1 \times 10^{-31} \times 0.03}\)
= 1.92 × 10-3 m