The correct answer is D. The slope of the graph represents Kq, and the intercept represents Vo.
The equation V = Kq/r + Vo represents the electric potential due to a point charge q, where r is the distance from the charge. When graphing voltage V versus 1/r, we can determine the physical meaning of the slope and the intercept.
To analyze the graph, we rewrite the equation as V = (Kq)(1/r) + Vo. Comparing it with the general equation of a straight line, y = mx + b, we can identify the physical meaning of the slope and the intercept:
- Slope: The slope of the graph corresponds to the coefficient multiplying 1/r, which is Kq. Therefore, the physical meaning of the slope is Kq. This implies that the slope represents the product of the charge q and the constant K, which is related to the electrostatic force. The larger the charge q, the steeper the slope of the graph.
- Intercept: The intercept of the graph corresponds to the constant term, Vo. Thus, the physical meaning of the intercept is Vo. This represents the electric potential when r approaches infinity. In other words, it is the electric potential far away from the charge. The intercept can be positive, negative, or zero, depending on the value of Vo.
The slope of the graph of V versus 1/r represents Kq, the product of the charge q and the constant K. The intercept represents Vo, the electric potential far away from the charge. Hence, the physical meaning of the slope is Kq, and the physical meaning of the intercept is Vo.
Therefore, the correct answer is D. The slope of the graph represents Kq, and the intercept represents Vo.