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Chapter 36: Q. 41 (page 1060)

A modest supernova (the explosion of a massive star at the end of its life cycle) releases1.5×1044J of energy in a few seconds. This is enough to outshine the entire galaxy in which it occurs. Suppose a star with the mass of our sun collides with an antimatter star of equal mass, causing complete annihilation. What is the ratio of the energy released in this star-antistar collision to the energy released in the supernova?

Short Answer

Expert verified

The ratio of the energy released in this star-antistar collision to the energy released in the supernova is0.0831%

Step by step solution

01

Given Information 

We need to find the ratio of the energy released in this star-antistar collision to the energy released in the supernova.

02

Simplify

Consider :

Esupernova=1.5×1044Jmsun=1.9891×1030kg

First, finding energy star-antistar:

E=mc2 .......(1)

Calculating Eusing equation 1

E=mc2E=1.9891×10303×1082E=1.790×1047J

Finally, finding the ratio:

1.5×1044J1.790×1047J×100=0.0831%

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