1. What is a light-year?
- The distance light travels in one year
- The age of a star
- A unit of brightness
Check the answer and reasoning
The distance light travels in one year
A light-year is a distance unit defined using light speed.
Physics / IGCSE
Connect orbital motion, starlight and the scale of the Universe.
Gravity changes the direction of an orbiting object’s velocity. The Solar System contains one star and bodies bound to it, while a galaxy contains vast numbers of stars.
Stars release energy through fusion and evolve differently according to their mass. Light carries information about temperature and composition. For suitable nearby galaxies, the approximate Hubble relationship connects recession speed with distance. Cosmic microwave background radiation is further evidence for a hot early Universe. Redshift concerns spectral wavelengths, not simply brightness.
Earth rotates about its axis, producing the daily pattern of daylight, and orbits the Sun over a year. Its axis is tilted, so seasonal changes involve solar angle and day length rather than simply Earth–Sun distance. The Solar System includes the Sun, planets, moons and smaller bodies. A moon orbits a planet; a planet orbits a star; a star produces radiation through processes in its interior.
Gravity supplies the inward acceleration that continuously turns an orbiting body. Without sufficient sideways motion, an object falls towards the central body; with suitable speed it continually falls around it. A circular orbit has period equal to circumference divided by speed. More distant planets generally have longer periods around the same central mass. Orbits need no fuel to maintain in an ideal vacuum, although real spacecraft can need corrections.
Gravity gathers gas and dust into a protostar; rising pressure and temperature can allow fusion to begin. In a main-sequence star, outward pressure balances inward gravitational effects. Later development depends strongly on mass. A Sun-like star can form a red giant and eventually a white dwarf after shedding outer layers. Massive stars can undergo supernova explosions and leave neutron stars or black holes. Ejected matter supplies material for later stars and planets.
The Sun belongs to the Milky Way, one galaxy among many. A light-year is a distance. Identify a known spectral pattern to measure redshift: observed wavelengths longer than laboratory values indicate a shift, not merely a red-looking galaxy. For appropriate low-redshift galaxies, the Hubble relationship gives recession speed approximately H₀d. Distance estimates can use calibrated standard-candle behaviour, including certain supernovae, rather than assuming all objects share one brightness.
Microwave radiation arrives from essentially every direction and has a nearly thermal spectrum. It is interpreted as radiation released when the young Universe became transparent, stretched to longer wavelengths as space expanded. This evidence and galactic redshifts support a hotter, denser early Universe. A simple age estimate 1/H₀ is model-dependent: the expansion rate has not necessarily remained constant. These observations concern the Universe as a whole, not the ordinary gravitational orbits of nearby stars.
Redshift shifts identifiable wavelengths relative to their original values. A galaxy emits a broad spectrum and can still have many colours; a measured line shift is the relevant evidence.
Speed in a circular orbit of radius r and period T.
A model circular orbit has circumference 1200 km and period 300 s. What is its speed?
Speed = circumference/period = 1200/300 = 4 km/s.
Use an orbit model to compare how changing orbital radius affects period while keeping the central body fixed.
Use the orbital models for bound systems and the spectrum model for temperature. None directly simulates cosmic expansion, stellar evolution or the microwave background; discuss those using observational evidence.
The distance light travels in one year
A light-year is a distance unit defined using light speed.
4 km/s
Speed = circumference/period = 1200/300 = 4 km/s.
Its observed wavelength is longer than its reference wavelength.
Redshift compares the positions of spectral features.