Question

The energy produced when $1\,kg$ of a substance is fully converted into energy is ____
A) $9 \times {10^{16}}J$
B) $9 \times {10^8}J$
C) $18 \times {10^8}J$
D) $18 \times {10^{16}}J$

Answer 1

Here we have to use the Einstein-mass energy relation to get the answer.
Einstein's condition $E = m{c^2}$ shows that energy and mass are exchangeable. The hypothesis of special relativity clarifies how space and time are connected for objects that are moving in a uniform motion. One of its most specific angles concerns objects moving at the speed of light.

Complete step by step solution:
This condition $E = m{c^2}$ additionally shows that mass speeds up, which adequately sets a speed boundary for how quick things can move known to man. Basically, the speed of light (c) is the quickest speed at which an item can go in a vacuum. As an item moves, its mass likewise increments. Close to the speed of light, the mass is high to the point that it arrives at infinity, and would require unbounded energy to move it, along these lines covering how quick an object can move. The main explanation is that light moves at the speed it does on the grounds that photons, the quantum particles that make up light, have a mass of zero.

An extraordinary circumstance known to man of the little, called "quantum entanglement," is confounding on the grounds that it appears to include quantum particles interfacing with one another at speeds quicker than the speed of light. In particular, estimating the property of one particle can quickly reveal to you the property of another molecule, regardless of the distance away they are.
The speed of light is given by:
$c = 3 \times {10^8}\,m{s^{ - 1}}$

Putting the values in the mass energy equation we get:
$E = m{c^2} \\\ = 1kg \times {\left( {3 \times {{10}^8}\,m{s^{ - 1}}} \right)^2} \\\ = 9 \times {10^{16}}\,J \\\$

Hence, option A is correct.

Note: Here we have to pay attention to the question whether the mass is given in a standard unit or CGS unit. Only then we can get the correct answer.
Also we have to remember the mass energy relation.