Light travels with a speed of `3xx10^(8) m s^(-1)`. The distance travelled by light in 1 femto second is

Options

A. `0*03 mm`
B. `0*003 mm`
C. `3 mm`
D. `0*0003 mm`

Explanation

To solve the problem of finding the distance traveled by light in 1 femtosecond, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the speed of light**:
The speed of light (c) is given as:
\[ c = 3 \times 10^8 \, \text{m/s} \]

2. **Convert femtoseconds to seconds**:
We know that 1 femtosecond (fs) is equal to:
\[ 1 \, \text{fs} = 10^{-15} \, \text{s} \]

3. **Use the formula for distance**:
The distance (d) traveled by light can be calculated using the formula:
\[ d = c \times t \]
where \( t \) is the time in seconds.

4. **Substitute the values**:
Now, substituting the values of speed and time into the formula:
\[ d = (3 \times 10^8 \, \text{m/s}) \times (1 \times 10^{-15} \, \text{s}) \]

5. **Calculate the distance**:
Performing the multiplication:
\[ d = 3 \times 10^{8 - 15} \, \text{m} = 3 \times 10^{-7} \, \text{m} \]

6. **Convert meters to millimeters**:
Since 1 meter is equal to 1000 millimeters (or \( 10^3 \) mm), we convert the distance:
\[ d = 3 \times 10^{-7} \, \text{m} \times 10^3 \, \text{mm/m} = 3 \times 10^{-4} \, \text{mm} \]

7. **Final answer**:
Therefore, the distance traveled by light in 1 femtosecond is:
\[ d = 0.0003 \, \text{mm} \]

### Summary:
The distance traveled by light in 1 femtosecond is \( 0.0003 \, \text{mm} \).