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Question

A meterbridge setup (as shown) is used to determine end correction at A and B. When a resistance of 15 Ω is used in left gap and of 20 Ω in right gap then null point is 42 cm from A, now if these resistances are intercharged null point is 57 cm from A then end correction at A & B are


A
3 cm,2 cm
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B
6 cm,1 cm
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C
1.5 cm,1.5 cm
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D
1 cm,2 cm
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Solution

The correct option is A 3 cm,2 cm
Since, a null point is achieved by balancing potential drops in a circuit. The potential difference between the points is zero, i.e. points are at the same potential.

Let x, y be end correction at A, B and l1 be null point from A

we know that,

Rl1+x=S100l1+y

1542+x=2058+y

4x3y=6 ..............(1)

When resistances are interchanged,

2057+x=1543+y

4(43+y)=3(57+x)

172+4y=171+3x

3x4y=1 ...............(2)

On solving (1) & (2) we get,

x=3 cm, y=2 cm

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