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A wire of resistance 12 Ωm-1 is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite point, A and B as shown in the figure, is [2009]
- a)3Ω
- b)6π Ω
- c)6Ω
- d)0. 6π Ω
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A wire of resistance 12Ωm-1is bent to form a complete circle of ...
Total resistance of wire = 12Ω×2π×10−1
= 2.4π
Resistance of each half = 2.4π/2=1.2π
and as about diameter both parts are in parallel
Req. = 1.2π/2=0.6πΩ
The correct answer is option D.
= 2.4π
Resistance of each half = 2.4π/2=1.2π
and as about diameter both parts are in parallel
Req. = 1.2π/2=0.6πΩ
The correct answer is option D.
Most Upvoted Answer
A wire of resistance 12Ωm-1is bent to form a complete circle of ...
The two halves (or semicircles) are in parallel combination.
Length of each part is πr = π(0.1) m
Resistance of each part = 12(0.1π) = 1.2π
We know that when two equal resistance are kept in parallel the equivalent resistance will be half of any one resistance. So, the equivalent resistance between A and B is 0.6π
Length of each part is πr = π(0.1) m
Resistance of each part = 12(0.1π) = 1.2π
We know that when two equal resistance are kept in parallel the equivalent resistance will be half of any one resistance. So, the equivalent resistance between A and B is 0.6π
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Community Answer
A wire of resistance 12Ωm-1is bent to form a complete circle of ...
The radius of circle = 10cm = 0.1m
The total length of wire = 2 x pi x 0.1 = 0.2pi meters
As it is given that resistance of wire per unit length is 12 ohms per meter,Then the resistance of given wire would be = resistance per unit length x total length of wire.
so, the total resistance of wire = 12 x 0.2pi ohms = 2.4pi ohm.
As the wire is divided into two equal parts by the diametric points,
therefore the resistance of each part of the wire would be equal and half of total resistance.
this gives us resistance of each part = 1.2pi ohm.
Now these parts are connected in parallel,
therefore net resistance of the whole arrangement = 1.2pi / 2 = 0.6pi ohm.
Thus the answer should be D.
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A wire of resistance 12Ωm-1is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite point, A and B as shown in the figure, is [2009]a)3Ωb)6πΩc)6Ωd)0. 6π ΩCorrect answer is option 'D'. Can you explain this answer? for Class 12 2026 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A wire of resistance 12Ωm-1is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite point, A and B as shown in the figure, is [2009]a)3Ωb)6πΩc)6Ωd)0. 6π ΩCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire of resistance 12Ωm-1is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite point, A and B as shown in the figure, is [2009]a)3Ωb)6πΩc)6Ωd)0. 6π ΩCorrect answer is option 'D'. Can you explain this answer?.
A wire of resistance 12Ωm-1is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite point, A and B as shown in the figure, is [2009]a)3Ωb)6πΩc)6Ωd)0. 6π ΩCorrect answer is option 'D'. Can you explain this answer? for Class 12 2026 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A wire of resistance 12Ωm-1is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite point, A and B as shown in the figure, is [2009]a)3Ωb)6πΩc)6Ωd)0. 6π ΩCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire of resistance 12Ωm-1is bent to form a complete circle of radius 10 cm. The resistance between its two diametrically opposite point, A and B as shown in the figure, is [2009]a)3Ωb)6πΩc)6Ωd)0. 6π ΩCorrect answer is option 'D'. Can you explain this answer?.
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