TS EAMCET · Physics · Current Electricity
Two wires made of the same material have lengths in the ratio \(2: 3\) and radii in the ratio \(8: 9\). If the same potential difference is applied across the ends of the wires, the ratio of the electric currents flowing through them is
- A \(5: 6\)
- B \(6: 5\)
- C \(4: 3\)
- D \(32: 27\)
Answer & Solution
Correct Answer
(D) \(32: 27\)
Step-by-step Solution
Detailed explanation
Ratio of length, \(\frac{\ell_1}{\ell_2}=\frac{2}{3}\) Ratio of radii, \(\frac{r_1}{r_2}=\frac{8}{9}\) Resistance of wire is given as, \(R=\rho \frac{\ell}{A}\) Resistance of \(\mathrm{I}^{\text {st }}\) wire, \(\mathrm{R}_1=\rho \frac{\ell_1}{\mathrm{~A}_1}\)…
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