1m= ......light year

The correct option is 10⁻¹⁶ light year.

To find the value of 1 meter in light years, we need to understand the relationship between a meter and a light year.

A light year (ly) is defined as the distance that light travels in a vacuum in one Julian year. The basic formula for distance is:

$\text{Distance}=\text{Speed}\times \text{Time}$

Let's use the standard values for the speed of light and time:
1. The speed of light in a vacuum ($c$) is approximately:
$c\approx 3\times {10}^8$
2. One year in seconds is:
$1\text{year}=365.25\text{days}\times 24\text{hours/day}\times 3600\text{seconds/hour}$
$1\text{year}\approx 3.156\times {10}^7\text{seconds}$

Now, we calculate the value of 1 light year in meters:
$1\text{light year}\approx (3\times {10}^8\text{m/s})\times (3.156\times {10}^7\text{s})$
$1\text{light year}\approx 9.46\times {10}^{15}\text{meters}$

To express 1 meter in terms of light years, we take the reciprocal:
$1\text{meter}=\frac{1}{9.46\times {10}^{15}}\text{light year}$
$1\text{meter}\approx 1.057\times {10}^{-16}\text{light year}$

Rounding to the nearest order of magnitude, we get:
$1\text{meter}\approx {10}^{-16}\text{light year}$