Question

What is the equivalent energy of an $10$ mg mass?

Answer 1

Hint : So, to proceed with this question, first we need to understand the meaning of the equivalent energy and we also have to focus on the relationship that relates the mass of the substance to its equivalence energy.

Complete Step By Step Answer:
To get the answer to this question, we will learn about the theory given by ‘Einstein’, relating the equivalent energy and its equivalent mass.
So, this theory given by Einstein was a breakthrough in the energy world relating mass and the equivalent energy.
So, according to the ‘Mass- energy Equivalence theory’, it says that – all the objects having a mass, or massive objects, have a corresponding intrinsic energy, even when the object is stationary.
His theory is also depicted numerically:
As. $E = m{c^2}$
E is equivalence energy
M is the mass of the object
C is the velocity
So, now let’s solve the question by putting the values given in the question:
$E = m{c^2}$
Also note that the mass is given in grams, so we will convert it in the kilogram unit.
$10mg = 10 \times {10^{ - 6}}kg$
$c = 3 \times {10^8}m{s^{ - 1}}$
$E = 10 \times {10^{ - 6}} \times 3 \times {10^8}$
$E = 9 \times {10^{11}}$ Joule
Hence, the equivalence is calculated.
Thus, $E = 9 \times {10^{11}}$ Joule is equivalent to the energy of an $10$ mg mass.

Note :
Let's take an example of one of these mass- energy equivalence theories: The sun produces its energy by the conversion of mass into energy through the process of nuclear fusion. This discovery of Einstein brought a revolution in the kinetics of physics because it explained the energy well in terms of its mass.