When `10^20` electrons are removed from the surface of a neutral metal plate, the electric charge on it (in coulomb) is

Options

A. `+16`
B. `-1.6`
C. `10^(-19)`
D. `10^19`

Explanation

To find the electric charge on a neutral metal plate after removing \(10^{20}\) electrons, we can follow these steps:

### Step 1: Understand the Charge of an Electron
The charge of a single electron is approximately \( -1.6 \times 10^{-19} \) coulombs. Since we are removing electrons, we will be dealing with a positive charge.

### Step 2: Calculate the Total Charge Removed
When \(10^{20}\) electrons are removed, the total charge removed can be calculated using the formula:
\[ Q = n \cdot e \]
where:
- \(Q\) is the total charge,
- \(n\) is the number of electrons removed (\(10^{20}\)),
- \(e\) is the charge of a single electron (\(1.6 \times 10^{-19}\) coulombs).

### Step 3: Substitute the Values
Now, substituting the values into the formula:
\[ Q = 10^{20} \cdot (1.6 \times 10^{-19}) \]

### Step 4: Perform the Calculation
Calculating the above expression:
\[ Q = 10^{20} \cdot 1.6 \times 10^{-19} = 1.6 \times 10^{1} = 16 \text{ coulombs} \]

### Step 5: Determine the Sign of the Charge
Since electrons are being removed, the plate will have a positive charge. Therefore, the final charge on the plate is:
\[ Q = +16 \text{ coulombs} \]

### Final Answer
The electric charge on the metal plate after removing \(10^{20}\) electrons is \(+16 \text{ coulombs}\).

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