The maximum number of electrons in an orbit is 50. Identify the orbit corresponding to the above number of electrons.

Explanation

To solve the question regarding the maximum number of electrons in an orbit being 50, we can follow these steps:

### Step 1: Understand the formula for maximum electrons in an orbit
The maximum number of electrons that can occupy an orbit (or shell) is given by the formula:
\[ \text{Maximum electrons} = 2n^2 \]
where \( n \) is the principal quantum number corresponding to the orbit.

### Step 2: Set up the equation
Given that the maximum number of electrons is 50, we can set up the equation:
\[ 2n^2 = 50 \]

### Step 3: Solve for \( n^2 \)
To find \( n^2 \), we divide both sides of the equation by 2:
\[ n^2 = \frac{50}{2} \]
\[ n^2 = 25 \]

### Step 4: Solve for \( n \)
Now, we take the square root of both sides to find \( n \):
\[ n = \sqrt{25} \]
\[ n = 5 \]

### Step 5: Identify the orbit
The value of \( n = 5 \) corresponds to the fifth orbit or shell, which is often referred to as the "N" shell.

### Final Answer
The orbit corresponding to the maximum number of electrons being 50 is the **N shell (n=5)**.

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