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TS EAMCET · Physics · Current Electricity

Wires \(A\) and \(B\) have resistivities \(\rho_A\) and \(\rho_B\), \(\left(\rho_B=2 \rho_A\right)\) and have lengths \(l_A\) and \(l_B\). If the diameter of the wire \(B\) is twice that of \(A\) and the two wires have same resistance, then \(\frac{l_B}{l_A}\) is

  1. A \(2\)
  2. B \(1\)
  3. C \(\frac{1}{2}\)
  4. D \(\frac{1}{4}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(2\)

Step-by-step Solution

Detailed explanation

The given, \[ \rho_B=2 \rho_A, R_A=R_B=R \] Let, \(r_A=r\) \[ r_B=2 r \] According to formula,…
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