When `10^(19)` electrons are removed from a neutral metal plate through some process, then the charge on it becomes

Options

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

Answer

To solve the problem of determining the charge on a neutral metal plate after removing \(10^{19}\) electrons, we can follow these steps:

### Step 1: Understand the charge of an electron
The charge of a single electron is given as:
\[ e = 1.6 \times 10^{-19} \text{ coulombs} \]

### Step 2: Determine the total number of electrons removed
The problem states that \(10^{19}\) electrons are removed from the metal plate. We denote this number as:
\[ n = 10^{19} \]

### Step 3: Calculate the total charge removed
When electrons are removed from a neutral object, the object becomes positively charged. The total charge \(Q\) that is created on the plate can be calculated using the formula:
\[ Q = n \times e \]
Substituting the values we have:
\[ Q = 10^{19} \times (1.6 \times 10^{-19}) \]

### Step 4: Perform the multiplication
Now, we can simplify the expression:
\[ Q = 10^{19} \times 1.6 \times 10^{-19} \]
This can be simplified further:
\[ Q = 1.6 \times (10^{19} \times 10^{-19}) = 1.6 \times 10^{0} = 1.6 \text{ coulombs} \]

### Step 5: Determine the sign of the charge
Since electrons are negatively charged and we are removing them, the charge on the plate will be positive. Therefore, the final charge on the metal plate is:
\[ Q = +1.6 \text{ coulombs} \]

### Final Answer
The charge on the metal plate after removing \(10^{19}\) electrons is:
\[ \boxed{+1.6 \text{ coulombs}} \]

---