How many light years are there in 1 metre?

Explanation

To determine how many light years are there in 1 meter, we need to follow these steps:

### Step-by-Step Solution

1. **Understand the Definition of a Light Year**:
A light year is defined as the distance that light travels in one year.

2. **Calculate the Speed of Light**:
The speed of light in a vacuum is approximately \(3 \times 10^8\) meters per second.

3. **Convert One Year into Seconds**:
To find out how far light travels in one year, we first need to convert one year into seconds:
\[ 1 \text{ year} = 365 \text{ days} \times 24 \text{ hours/day} \times 60 \text{ minutes/hour} \times 60 \text{ seconds/minute} \]
This calculation gives us:
\[ 1 \text{ year} = 365 \times 24 \times 60 \times 60 = 31,536,000 \text{ seconds} \]

4. **Calculate Distance Traveled by Light in One Year**:
Now, we can calculate the distance light travels in one year using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Substituting the values:
\[ \text{Distance} = (3 \times 10^8 \text{ m/s}) \times (31,536,000 \text{ s}) \]
This results in:
\[ \text{Distance} \approx 9.46 \times 10^{15} \text{ meters} \]
Therefore, 1 light year is approximately \(9.46 \times 10^{15}\) meters.

5. **Find the Number of Light Years in 1 Meter**:
To find out how many light years are in 1 meter, we take the reciprocal of the distance in meters for 1 light year:
\[ \text{Number of light years in 1 meter} = \frac{1 \text{ meter}}{9.46 \times 10^{15} \text{ meters/light year}} \]
Simplifying this gives:
\[ \text{Number of light years in 1 meter} \approx 1.057 \times 10^{-16} \text{ light years} \]

### Final Answer:
Thus, there are approximately \(1.057 \times 10^{-16}\) light years in 1 meter.

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