One million electrons are added to glass rod. The total charge on the rod is

Options

A. `10^(-13)C`
B. `-1.6xx10^(-13)C`
C. `+1.6xx10^(-12)C`
D. `10^(-12)C`

Explanation

To find the total charge on the glass rod after adding one million electrons, we can follow these steps:

### Step 1: Understand the number of electrons
We are given that one million electrons are added to the glass rod. In scientific notation, one million can be expressed as:
\[ 1,000,000 = 10^6 \]

### Step 2: Determine the charge of a single electron
The charge of a single electron is known to be:
\[ e = -1.6 \times 10^{-19} \text{ coulombs} \]

### Step 3: Calculate the total charge from the electrons
To find the total charge contributed by the one million electrons, we multiply the number of electrons by the charge of a single electron:
\[ Q = n \cdot e \]
where \( n \) is the number of electrons and \( e \) is the charge of one electron. Therefore:
\[ Q = 10^6 \cdot (-1.6 \times 10^{-19}) \]

### Step 4: Perform the multiplication
Now, we perform the multiplication:
\[ Q = -1.6 \times 10^6 \times 10^{-19} \]
Using the properties of exponents, we can combine the powers of ten:
\[ Q = -1.6 \times 10^{-13} \text{ coulombs} \]

### Step 5: State the total charge
Thus, the total charge on the glass rod after adding one million electrons is:
\[ Q = -1.6 \times 10^{-13} \text{ coulombs} \]

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