JEE Main & Advanced
Sample Paper
JEE Main - Mock Test - 8
question_answer
In the figure, each segment (side of small triangle) has resistance R and the wire used in circumference of the circle has negligible resistance. Find the equivalent resistance between point O and A.
A)\[\frac{R}{4}\]
B)\[\frac{R}{3}\]
C)\[\frac{R}{8}\]
D)\[\frac{R}{5}\]
Correct Answer:
A
Solution :
[a] Points A, B, C, D, E and F are equipotentials. From symmetry, points P, Q, R, S, T and U are equipotential and 1, 2, 3, 4, 5 and 6 are also equipotential. The circuit can be redrawn as \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,{{R}_{eq}}=\frac{R}{4}\]