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Question

Two unknown resistrance X and Y are connected to left and right gaps of a meter bridge and the balancing point is obtained at 80 cm from left. When a 10Ω resistance is connected in paralle to x, the balance point is 50 cm from left. The values of X and Y respectively are

A
40Ω , 9 Ω
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B
30Ω , 7.5Ω
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C
20Ω , 6Ω
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D
10Ω , 3Ω
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Solution

The correct option is B 30Ω , 7.5Ω
Case 1
XY=8020=4
X=4Y
Case 2

10X10+XY=5050=1
1010+X×4=1

10+X=40

X=30Ω

Y=304=7.5Ω

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