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Q.

Three unequal resistors in parallel are equivalent to a resistance 1 ohm. If two of them are in the ratio 1 : 2 and if no resistance value is fractional, the largest of the three resistance in ohm is

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a

4

b

6

c

8

d

12

answer is B.

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Detailed Solution

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1=1R1+1R2+1R3

R1R2=12⇒R2=2R1(Given)

1=3R2+1R3

R2-3R2=1R3

R3=R2R2-3

Now only R2=6Ω satisfies this above equation ⇒R3=2Ω & R1=3Ω

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