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Question

Resistance in the two gaps of a metre bridge are 15 Ω and 45 Ω respectively. If the resistances are interchanged, the balance point shifts by

A
50 cm
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B
25 cm
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C
40 cm
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D
20 cm
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Solution

The correct option is B 25 cm
Case (i)
R1R2=l100l1545=l100l100l=3l
4l=100
l=25 cm

Case (ii)
After interchanging
R2R1=l1100l14515=l1100l1
3(100l1)=l1
300=4l1
l1=3004=75 cm

Shift in balance point is =l1l=7525=50 cm.

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