Question

for the given formula 2n^2,which one of the following value of n is valid to find out the number of electrons in a given shell?also justify:a) 1.2 b)1.0 c) 0.1 d) 2.1​

Answer 1

the answer is option-(b)

Answer 2

Answer:

The value of n is $1.0$. Option b) is correct.

Explanation:

• Each consecutive shell can hold only a certain number of electrons.
• The inner shell is filled first. This shell may contain as many as two electrons.
• The second shell can hold as many as eight electrons.

The formula for the number of electrons is:

$N=2n^{2}$

where, $n$ is the shell number.

Step 1:

In the given formula $N=2n^{2}$.

$n^{2} =\frac{N}{2}$

$n=\sqrt{\frac{N}{2} }$--

Step 2:

We know that the value of the number of electrons is an integer. So, $N$ is an integer.

The value of $N$ is such that the perfect square root can be calculated.

Hence, the value of n is $1.0$ for the first shell.

Option b) is correct.