Question

In: Physics

At the rate at which the Sun is losing mass in the solar wind, how many...

At the rate at which the Sun is losing mass in the solar wind, how many years will it take the Sun to lose as much mass as Uranus?

It will take ___ × 108 years.

Solutions

Expert Solution

We know that the rate of emission of energy from the Sun's surface is =  3.8 x 1026 W

Now as :

Rate at which E is produced = Rate at which mass M is lost by the Sun x c2

where c is the speed of light

Substituting values we get the rate at which the mass is lost by the sun:

As Mass of the Uranus is = 8.68 x 1025 kg

Therefore the time taken to lose that amount of mass will be:

Substituting values we get:

Converting time into years we get:

Which is the required answer

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