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NEET 2013 · Combination of Resistors

Combination of Resistors question from NEET 2013

Q69NEET 2013Medium

Combination of Resistors

A 12 cm wire is given a shape of a right angled triangle ABC having sides 3 cm, 4 cm and 5 cm as shown in the figure. The resistance between two ends (AB, BC, CA) of the respective sides are measured one by one. Their ratio is

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Answer: (b)

Let resistance per cm be $r$ . Across a side of length $x$ : $x$ is in parallel with $12 - x$ .
$R_{AB} = \dfrac{3 \times 9}{12}r$ , $R_{BC} = \dfrac{4 \times 8}{12}r$ , $R_{CA} = \dfrac{5 \times 7}{12}r$
Ratio $= 27 : 32 : 35$
So the answer is (b).

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