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To find the resistance of a gold bangle, two diametrically opposite points of the bangle are connected to the two terminals of the left gap of a meter bridge. - Physics

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प्रश्न

To find the resistance of a gold bangle, two diametrically opposite points of the bangle are connected to the two terminals of the left gap of a meter bridge. A resistance of 4 Ω is introduced in the right gap. What is the resistance of the bangle if the null point is at 20 cm from the left end?

पर्याय

  • 16Ω

MCQ
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उत्तर

Explanation:

Given:

Resistance in the right gap of the meter bridge, R = 4Ω

The null point is at l = 20 cm from the left end.

The total length of the wire = 100 cm.

The gold bangle is connected across the left gap between two diametrically opposite points.

The equivalent resistance between the two opposite points is:

`R_(eq) = "R/2 × R/2"/"R/2 + R/2" = R/4`

Apply the Meter Bridge Principle

`R_"left"/R_"right" = l/(100-l)`

Rleft ​= Req​ = `R/4`

Rright​ = 4Ω

l = 20 cm

`"R/4"/4 = 20/80`

`R/15 = 1/4`

Multiply both sides by 16:

R = 4Ω

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Current Electricity
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पाठ 9: Current Electricity - Exercises [पृष्ठ २२८]

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बालभारती Physics [English] Standard 12 Maharashtra State Board
पाठ 9 Current Electricity
Exercises | Q 1.6 | पृष्ठ २२८

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