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TS EAMCET · Physics · Current Electricity

A metal wire of length L and radius r has a resistance R. If a wire of the same metal of length 2L and radius 3r is taken, then what will be its resistance?

  1. A 29R
  2. B 23R
  3. C 29πR
  4. D 23πR
Verified Solution

Answer & Solution

Correct Answer

(A) 29R

Step-by-step Solution

Detailed explanation

As metal used in both the cases is same, therefore, ρ will remain same, Now, for first case, R1=ρL1A1⇒R=ρLπr2   ...Eq1 Similarly, for second case we can write, R2=ρL2A2⇒R2=ρ2Lπ3r2   ...Eq2 Dividing…
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