JEE MainPhysicsCurrent ElectricityMCQ+4 / −1
A Copper (Cu) rod of length 25 cm and cross-sectional area 3 mm2 is joined with a similar Aluminium (Al) rod as shown in figure. Find the resistance of the combination between the ends A and B. (Take Resistivity of Copper = 1.7 10 8 m and Resistivity of Aluminium = 2.6 10 8 m) 

- A0.0858 m
- B1.420 m
- C0.858 m
- D2.170 m
View written solutionFree
Correct answer: 3.583 MΩ, NO VALID OPTION AMONG A, B, C, D
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Given data
- Length of copper rod:
- Length of aluminium rod: since it is a similar rod,
- Cross-sectional area of each rod:
- Resistivity of copper:
- Resistivity of aluminium:
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Interpretation of the combination
The copper rod is joined end-to-end with the aluminium rod, so they are in series between ends and .
Therefore,
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Resistance of copper rod
Using
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Resistance of aluminium rod
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Total resistance
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Compare with options
The calculated answer is:
This does not match any given option.
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Checking the stored answer
Stored correct answer is C: , but this is not consistent with the standard series combination calculation.
In fact:
- Option B () is approximately only the resistance of the copper rod.
- Option D () is approximately only the resistance of the aluminium rod.
- Option C () is not obtained from the given data by any standard series/parallel interpretation for two similar rods joined end-to-end.
Hence, the provided options or figure likely contain an error/missing detail.
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