ItsAlix13
Answered

If 1.0 gram of matter was converted to energy, how much energy would be formed? A. 9.0 x 10-13 joules
B. 9.0 x 1013 joules
C. 3.0 x 1013 joules
D. 3.0 x 108 joules

Answer :

use the famous equation due to Einstein 

e = mc^2

not sure about the units  if we are working in joules I think m should be in kilograms and c is the speed of light in meters / second.

Answer : The correct option is, (B) [tex]9.0\times 10^{13}J[/tex]

Explanation : Given,

Mass of matter = 1.0 g = 0.001 g

Conversion : 1 Kg = 1000 g

Formula used :

[tex]E=mc^2[/tex]

where,

E = energy of the matter = ?

m = mass of the matter = 1.0 g

c = speed of matter = [tex]3\times 10^8m/s[/tex]

Now put all the given values in this formula, we get :

[tex]E=(0.001g)\times (3\times 10^8m/s)^2[/tex]

[tex]E=9.0\times 10^{13}J[/tex]

Therefore, the energy of the matter will be, [tex]9.0\times 10^{13}J[/tex]

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