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Q.

A uniform conductor of resistance R is cut into 20 equal pieces. Half of them are joined in series and the remaining half of them are connected in parallel. If the two combinations are joined in series, then the effective resistance of all the pieces is

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a

101R200

b

R

c

R2

d

201R200

answer is C.

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Detailed Solution

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The effective resistance of the series combination =10.R20=R2

The effective resistance of the parallel combination = 110.R20=R200

So the series combination of these will have an effective resistance =R2+R200=101R200

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