Practice question
Question
A wire of length 15 m and cross-sectional area 2 × 10â»â¶ m² has a resistance of 30 Ω . What is the resistivity of the material?
Explanation
Given:
A wire of length 15 m and cross-sectional area 2 × 10â»â¶ m² has a resistance of 30 Ω . What is the resistivity of the material?
These values define the system as per NCERT data.
Formula:
Resistance: R = rho l/A.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
Rearrange: rho = R A/l . Substitute: rho = frac30 × 2 × 10â»â¶Â¹âµ= 4 × 10â»â¶Î© m .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
Discussion
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