Advertisements
Advertisements
Question
Calculate the uncertainty in position of an electron, if Δv = 0.1% and υ = 2.2 × 106 ms-1
Solution
Mass of an electron = m = 9.1 × 10-31 kg.
∆v = Uncertainty in velocity = `0.1/100` × 2.2 × 103 ms-1
∆υ = 0.22 × 104 = 2.2 × 103 ms-1
∆x . ∆υ . m = `"h"/(4π)`
∆x = `"h"/(∆"υ" . "m". 4π)`
= `(6.626 xx 10^-34)/(2.2 xx 10^3 xx 9.1 xx 10^-31 xx 4 xx 3.14)`
= `(6.626 xx 10^-34 xx 10^3 xx 10^31)/(2.2 xx 9.1 xx 4 xx 3.14)`
= `(6.626 xx 10^-6)/(251.45)`
= 0.02635 × 10-6
∆x = 2.635 × 10-8
Uncertainty in position = 2.635 × 10-8
APPEARS IN
RELATED QUESTIONS
Electronic configuration of species M2+ is 1s2 2s2 2p6 3s2 3p6 3d6 and its atomic weight is 56. The number of neutrons in the nucleus of species M is
The electronic configuration of Eu (Atomic no. 63) Gd (Atomic no. 64) and Tb (Atomic no. 65) are
The maximum number of electrons in a sub shell is given by the expression
State and explain Pauli's exclusion principle.
Define orbital?
For each of the following, give the sub level designation, the allowable m values and the number of orbitals
- n = 4, l = 2
- n = 5, l = 3
- n = 7, l = 0
Describe the Aufbau principle.
An atom of an element contains 35 electrons and 45 neutrons. Deduce
- the number of protons
- the electronic configuration for the element
- All the four quantum numbers for the last electron
An ion with mass number 37 possesses unit negative charge. If the ion contains 11.1% more neutrons than electrons. Find the symbol of the ion.
Identify the missing quantum numbers and the sub energy level
| n | l | m | Sub energy level |
| ? | ? | 0 | 4d |
| 3 | 1 | 0 | ? |
| ? | ? | ? | 5p |
| ? | ? | −2 | 3d |
