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Earth and Space - Stars and the Universe

Grade 7IGCSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

The Universe is a vast expanse of space that contains all matter and energy, including galaxies, stars, and planets.

A light-year is the distance light travels in one year, which is approximately 9.46imes1012 km9.46 imes 10^{12} \text{ km}. It is a unit of distance, not time.

Stars are formed from clouds of dust and gas called nebulae. Gravity pulls the gas together to form a protostar.

Nuclear fusion is the process that powers stars, where Hydrogen nuclei (1H^1H) fuse to form Helium (4He^4He) nuclei, releasing massive amounts of energy.

The Sun is our closest star. Light from the Sun takes approximately 88 minutes and 2020 seconds to reach Earth.

Galaxies are massive collections of stars, gas, and dust. Our Solar System is located in the Milky Way, which is a spiral galaxy.

The life cycle of a star depends on its mass. Average stars like our Sun become Red Giants and then White Dwarfs, while massive stars end in a Supernova and may become Neutron Stars or Black Holes.

📐Formulae

d=v×td = v \times t

1 light-year9.46×1015 m1 \text{ light-year} \approx 9.46 \times 10^{15} \text{ m}

c3.0×108 m/sc \approx 3.0 \times 10^8 \text{ m/s}

💡Examples

Problem 1:

The star Proxima Centauri is approximately 4.24.2 light-years away from Earth. How long does it take for light from this star to reach us?

Solution:

It takes 4.24.2 years.

Explanation:

Since a light-year is defined as the distance light travels in one year, the number of light-years is equal to the number of years the light spends traveling.

Problem 2:

Calculate the distance of 11 light-year in meters using the speed of light c=3.0×108 m/sc = 3.0 \times 10^8 \text{ m/s} and the number of seconds in a year (365.25365.25 days).

Solution:

d=(3.0×108 m/s)×(365.25×24×60×60 s)9.46×1015 md = (3.0 \times 10^8 \text{ m/s}) \times (365.25 \times 24 \times 60 \times 60 \text{ s}) \approx 9.46 \times 10^{15} \text{ m}

Explanation:

To find the distance, we multiply the speed of light by the total number of seconds in one year (31,557,600 s31,557,600 \text{ s}).

Problem 3:

If a galaxy is moving away from us and its distance is 2.5×1062.5 \times 10^6 light-years, express this in scientific notation using kilometers.

Solution:

2.5×106×9.46×1012 km=2.365×1019 km2.5 \times 10^6 \times 9.46 \times 10^{12} \text{ km} = 2.365 \times 10^{19} \text{ km}

Explanation:

We multiply the distance in light-years by the value of one light-year in kilometers (9.46×1012 km9.46 \times 10^{12} \text{ km}) to get the total distance.