One metre how many light years

Options

A. `1.057xx 10^(-15)` ly
B. `1.05xx10^(-16)` ly
C. `1.05xx10^(-14)` ly
D. `1.057xx10^(-17)` ly

Answer

To solve the question of how many light years are in one meter, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Speed of Light**:
The speed of light (c) is approximately \(3 \times 10^8\) meters per second.

2. **Calculate the Number of Seconds in a Year**:
There are \(365\) days in a year, and each day has \(24\) hours, \(60\) minutes per hour, and \(60\) seconds per minute.
\[ \text{Number of seconds in one year} = 365 \times 24 \times 60 \times 60 = 3.15 \times 10^7 \text{ seconds} \]

3. **Calculate the Distance Light Travels in One Year**:
The distance light travels in one year (which is defined as one light year) can be calculated using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Substituting the values:
\[ \text{One light year} = c \times \text{time in one year} = (3 \times 10^8 \text{ m/s}) \times (3.15 \times 10^7 \text{ s}) \]
\[ = 9.45 \times 10^{15} \text{ meters} \]

4. **Convert Meters to Light Years**:
To find out how many light years are in one meter, we take the reciprocal of the distance of one light year in meters:
\[ 1 \text{ meter} = \frac{1}{9.45 \times 10^{15}} \text{ light years} \]

5. **Calculate the Final Value**:
Performing the division:
\[ 1 \text{ meter} \approx 1.057 \times 10^{-16} \text{ light years} \]

### Final Answer:
Thus, one meter is approximately \(1.057 \times 10^{-16}\) light years.

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