Resistance per radian=R/2π.
Resistance of θ segment=R/2π.θ
The resistance of the wire depends on the length of the wire.
R = ρl/A
where ρ → resistivity
l → length of wire
A → area of cross section of it
When the wire is made into a circle, its resistance (R) does not change as there is no change in length or area of cross section.
But the resistance of arc AB changes as the length of it changes.
Since the arc subtends 120° at the centre, the wire's length becomes ¹/₃ rd of total.
Hence R' = ρ(l/2)/A = ¹/₃ (ρl/A) = ¹/₃ R
Thus, the resistance becomes R/3.
Hope it helps!!
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Correct answer is option d
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Despite the popularity of Einstein's theories of relativity and his musings on black holes, Einstein's Nobel Prize in physics was actually awarded for his discovery of the photoelectric effect. This discovery revolutionized our understanding of the world around us.
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a wire of resistance r is transformed into circle...