AIIMS 2018 Physics Resistances in Series and Parallel MCQ Question

To find the equivalent resistance between adjacent corners A and D in the given network, we can analyze the resistances in parallel and series. The configuration leads to a total equivalent resistance of $\frac{8}{15} R$ due to the combination of resistors in parallel and series, effectively reducing the overall resistance between points A and D.

Options A (R) and B ($\frac{2}{3} R$) overestimate the resistance by not accounting for the parallel paths, while option C ($\frac{3}{7} R$) underestimates it by miscalculating the contributions of the resistors. Understanding the principles of series and parallel combinations is crucial for accurately determining equivalent resistance in complex circuits.