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Meter bridge

A resistance of 2 is connected across one gap of a meter brid

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Medium

Solving time: 3 mins

A resistance of $2Ω$ is connected across one gap of a meter bridge (the length of the wire is $100 cm$ ) and an unknown resistance, greater than $2Ω$ , is connected across the other gap. When these resistance are interchanged, the balance point shifts by $20 cm$ . Neglecting any corrections, the unknown resistance is
(a) 3 Ω (b) 4 Ω (c) 5 Ω (d) 6 Ω

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Book:

Mechanics Volume 1 (DC Pandey)

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Daniel Discussed

A resistance of

2Ω

is connected across one gap of a meter bridge (the length of the wire is

100 cm

) and an unknown resistance, greater than

2Ω

, is connected across the other gap. When these resistance are interchanged, the balance point shifts by

20 cm

. Neglecting any corrections, the unknown resistance is
(a) 3 Ω (b) 4 Ω (c) 5 Ω (d) 6 Ω

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

R > 2Ω

\Rightarrow ∴ 100 - x > x

Applying

\frac{P}{Q} = \frac{R}{S}

We have

\frac{2}{R} = \frac{x}{100 - x}

\frac{R}{2} = \frac{x + 20}{80 - x}

Solving Eqs. (i) and (ii), we get,

R = 3Ω

∴

Correct option is (a).

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Question Text	A resistance of $2Ω$ is connected across one gap of a meter bridge (the length of the wire is $100 cm$ ) and an unknown resistance, greater than $2Ω$ , is connected across the other gap. When these resistance are interchanged, the balance point shifts by $20 cm$ . Neglecting any corrections, the unknown resistance is (a) 3 Ω (b) 4 Ω (c) 5 Ω (d) 6 Ω
Topic	Current Electricity
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	94

Text solutionVerified

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