Practice question
Question
A wire of length 3 m and resistance 6 Ω is stretched to 6 m . What is the new resistance?
Explanation
Given:
A wire of length 3 m and resistance 6 Ω is stretched to 6 m . What is the new resistance?
Formula:
Volume constant: l A = l' A' Rightarrow A' = A/2.
Substitution & Calculation:
New resistance: R' = rho l'/A' = fracrho (2l)A/2 = 4 rho l/A = 4R = 4 × 6 = 24 Ω .
Final Result:
The computed value matches expected outcome and confirms correct choice as per latest NCERT 2026-27.
Discussion
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