A polythene piece rubbed with wool is found to have a negative charge of `6xx10^(-7)C`. The number of electrons transferred to polythene from wool is

Options

A. `3.75xx10^(10)`
B. `9.6xx10^(10)`
C. `9.6xx10^(12)`
D. `3.75xx10^(12)`

Explanation

To find the number of electrons transferred to the polythene from the wool, we can use the relationship between charge, number of electrons, and the charge of a single electron.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Charge on the polythene, \( Q = -6 \times 10^{-7} \, \text{C} \) (the negative sign indicates that the polythene has gained electrons).
- Charge of one electron, \( e = -1.6 \times 10^{-19} \, \text{C} \) (the negative sign indicates the charge of an electron).

2. **Calculate the Number of Electrons Transferred:**
The number of electrons (\( n \)) transferred can be calculated using the formula:
\[ n = \frac{Q}{e} \]
Substituting the values:
\[ n = \frac{-6 \times 10^{-7} \, \text{C}}{-1.6 \times 10^{-19} \, \text{C}} \]

3. **Perform the Calculation:**
\[ n = \frac{6 \times 10^{-7}}{1.6 \times 10^{-19}} = \frac{6}{1.6} \times 10^{12} \]
\[ n = 3.75 \times 10^{12} \]

4. **Conclusion:**
The number of electrons transferred to the polythene from the wool is \( 3.75 \times 10^{12} \).

### Final Answer:
The number of electrons transferred to the polythene from the wool is \( 3.75 \times 10^{12} \).

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