Question Detail

PHY 104 PHY 104 Past Questions Objective Question

Question

The graph below represents the relationship between energy and equivalent mass from which it can be converted. The slope of this graph represents
Options
A E
B c<sup>2</sup>
Correct Answer
C c
D m
Correct Answer

Option B is the correct answer.

Detailed Explanation

The relationship between energy (E) and equivalent mass (m) is given by Einstein's famous equation: E = mc2, where 'c' is the speed of light. In this graph, energy (E) is plotted on the Y-axis and equivalent mass (m) is plotted on the X-axis.The slope of a graph is given by ∂Y/∂X. In this case, the slope is ∂E/∂m.From E = mc2, we can see that if we differentiate E with respect to m, we get ∂E/∂m = c2.Therefore, the slope of the graph represents the square of the speed of light.

Hint

Think about Einstein's mass-energy equivalence formula.

Question Info