Question

In a Hydrogen molecule there are a total of four charges, 2 protons in the two nuclei, and 2 electrons. How many unique charge-pairs are there (without double counting)?

Answer 1

Answer:

The total number of charge pair without double counting is 6.

Explanation:

Given that,

Number of proton = 2

Number of electron = 2

We need to calculate the total number of charges in Hydrogen atom

Using formula for number of charges

$n= p+n$

$n =2+2$

$n=4$

Number of charge in pair is

$r = 2$

We need to calculate the total number of possible combination of pairs without double counting

Using formula of combination

$N=_{n}C^{r}$

Where, n = number of charges

r = number of charges per pair

Put the value into the formula

$N=_{4}C^{2}$

$N=\dfrac{4\times3\times 2}{2(4-2)}$

$N=\dfrac{4\times3\times 2}{2\times2}$

$N=6$

Hence, The total number of charge pair without double counting is 6.