Have you ever wanted to measure something truly ridiculous? With a lamp and a piece of paper, you can answer a silly sounding question: How bright is the Sun?
Things become less bright when they are further away. Scientists say there is an inverse square relationship – if something is twice as far away, it is one quarter as bright. If it is three times further, it is one ninth as bright.
The Sun is approximately 15,000,000,000,000 cm away. Use this formula to work out how many times further away the Sun is from the lamp, compared to the paper and the lamp:
Sun vs paper distance = 15,000,000,000,000 cm ÷ paper to light bulb distance in cm
To work out how many light bulbs you would need to be as bright as the Sun, use this formula and the number you calculated last step:
Number of light bulbs to make a Sun = Sun vs paper distance x Sun vs paper distance
The number you get at the end of this activity is immense. This is hardly surprising – the Sun is a lot bigger and a lot brighter than a lamp. In some ways, it is surprising that you can compare them at all!
This activity measures the brightness of the Sun, and uses the distance of the Sun to the Earth. If you rearrange the equation, you can use the Sun’s brightness to measure distance instead. Astronomers use this technique to measure distant stars.
If you climb a mountain at night, look at the brightest stars and the most distant streetlights. As you compare the brightness of stars and streetlights, remember that many stars are as bright as our Sun, and some are much brighter. You might get some idea of the gigantic distances between the stars.
Sizing up the Sun – a quick quiz
A longer brightness activity from NASA (PDF)
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