How long will it be before we receive the light from the supernova event of a star located 100 million light years away, assuming it has a lifetime of 50 million years and is currently 10 million years old?

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To determine how long it will be before we receive the light from the supernova event of a star located 100 million light years away, we must consider both the current age of the star and the light travel time.

The star is currently 10 million years old and has a total lifetime of 50 million years. This means that the star will explode in a supernova in 40 million years (50 million years - 10 million years).

When the supernova occurs, the light from that event will take 100 million years to reach us, since it is 100 million light years away. Therefore, the time until we actually observe the light from the supernova combines the time it takes for the star to reach the end of its life and the time it takes for the light from the supernova to travel to Earth.

Adding these two timeframes together gives us:

  • 40 million years (until supernova occurs) + 100 million years (light travel time) = 140 million years.

To find out how long it will be from now until we see the supernova, we focus only on the 40 million years until the star explodes, and then the light travel time carries that observation into the future, culminating