Chapter 1: Problem 5
How fast does light travel? What is a light-year?
Short Answer
Expert verified
Light travels at 299,792,458 meters per second. A light-year is about 9.46 trillion kilometers.
Step by step solution
01
Define the Speed of Light
The speed of light in a vacuum is defined to be exactly 299,792,458 meters per second. This is a constant value used in physics to represent how fast light can travel under ideal conditions, where there is no interference from medium like air, water, or glass.
02
Understand What a Light-Year is
A light-year is a measure of distance, not time. It is the distance that light travels in one year. To find out how much distance light covers in a year, we multiply the speed of light by the number of seconds in a year.
03
Calculate the Number of Seconds in a Year
First, determine the number of seconds in a minute (60), the number of minutes in an hour (60), the number of hours in a day (24), and the approximate number of days in a year (365.25, considering leap years). Thus, the number of seconds in a year is 60 x 60 x 24 x 365.25.
04
Calculate the Distance of a Light-Year
Now, multiply the speed of light by the number of seconds in a year:\[ 299,792,458 \text{ m/s} \times 31,557,600 \text{ s/year} \approx 9.46 \times 10^{15} \text{ meters} \]Therefore, a light-year is approximately 9.46 trillion kilometers.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Light-Year
A light-year might sound like it's related to time, but in reality, it measures distance. Imagine how vast space is. To put this into perspective, a light-year is the distance that light travels in one year through the vacuum of space. Because light moves incredibly swiftly, this distance is enormous. When we say something is a light-year away, we're saying that light takes an entire year to reach us from that object. This is significant in astronomy; looking at stars means looking back in time, since the light we see today started its journey eons ago. Calculating a light-year involves multiplying the number of seconds in a year by the speed of light, resulting in approximately 9.46 trillion kilometers. That's a lot of zeros! This measurement helps us comprehend the vastness of the universe.
Physics Constants
In the realm of physics, constants like the speed of light provide a reliable framework for understanding the universe. Constants remain unchanged and hold true under set conditions, making them crucial in scientific calculations and theories.
- The speed of light in a vacuum is a primary example, with its exact value defined as 299,792,458 meters per second.
- Other famous constants include the gravitational constant and Planck's constant.
Distance Measurement
Measuring vast distances can be challenging but is fascinating. Traditional distance measurements like meters or kilometers work great on Earth, but astronomers need something more comprehensive for the vastness of space.
- Light-year: A robust unit for cosmic distances, illustrating the scale of galaxies and universes.
- Parsec: Another unit astronomers use, approximately equal to 3.26 light-years.
Vacuum Conditions
In physics, a vacuum is a space entirely devoid of matter, a concept not entirely intuitive. Picture a perfect empty bottle, but even without any air left inside.
In such conditions, light reveals its fullest potential. In earthly environments like air or water, particles present can slow light down, slightly hinder its swift journey. However, in a vacuum, light travels unimpeded, reaching its top speed of 299,792,458 meters per second.
- Vacuum ensures no interference from particles, making it ideal for measuring light's true speed.
- Space serves as a near-perfect vacuum, allowing astronomical observations to leverage these conditions.