Physics 9702 · AS & A Level · SI units

SI units — practice question

Wires X and Y are identical, and each has length $L$ and radius $r$; they are joined in parallel as illustrated. The combined resistance is $R_1$. Wire X is then substituted by a wire of the same material, still of length $L$ but with radius $2r$. The resistance of this revised arrangement is $R_2$. What is the value of the ratio $\frac{R_1}{R_2}$?

  • A$\frac{2}{5}$
  • B$\frac{2}{3}$
  • C$\frac{3}{2}$
  • D$\frac{5}{2}$

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