NEET Exam > NEET Questions > Two hollow conducting spheres of radii R1 and...
Start Learning for Free
Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :
- a)more on smaller sphere
- b)equal on both the spheres
- c)dependent on the material property of thesphere
- d)more on bigger sphere
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have ...
To find the ratio of the charges, we can use the principle of charge conservation. Since the total charge on the system is zero, the charges on the two spheres must add up to zero.
Let Q1 be the charge on the sphere with radius R1, and Q2 be the charge on the sphere with radius R2.
Q1 + Q2 = 0
We also know that the potential difference between the two spheres is 100 V. The potential difference between two points in an electric field is given by the equation:
V = k(Q1/R1 - Q2/R2)
Where k is the electrostatic constant.
Plugging in the given values:
100 = k(Q1/R1 - Q2/R2)
Since Q1 + Q2 = 0, we can substitute Q2 = -Q1 into the equation:
100 = k(Q1/R1 + Q1/R2)
Rearranging the equation, we get:
Q1/R1 + Q1/R2 = 100/k
Multiplying through by R1*R2, we get:
Q1R2 + Q1R1 = 100R1R2/k
Factoring out Q1, we get:
Q1(R2 + R1) = 100R1R2/k
Dividing both sides by (R2 + R1), we get:
Q1 = 100R1R2/k(R2 + R1)
Similarly, we can find Q2:
Q2 = -Q1 = -100R1R2/k(R2 + R1)
To find the ratio of the charges, we divide Q1 by Q2:
Q1/Q2 = (100R1R2/k(R2 + R1))/(-100R1R2/k(R2 + R1))
The (R2 + R1) and (-100R1R2/k) terms cancel out, leaving:
Q1/Q2 = 1
Therefore, the ratio of the charges on the two spheres is 1:1.
Let Q1 be the charge on the sphere with radius R1, and Q2 be the charge on the sphere with radius R2.
Q1 + Q2 = 0
We also know that the potential difference between the two spheres is 100 V. The potential difference between two points in an electric field is given by the equation:
V = k(Q1/R1 - Q2/R2)
Where k is the electrostatic constant.
Plugging in the given values:
100 = k(Q1/R1 - Q2/R2)
Since Q1 + Q2 = 0, we can substitute Q2 = -Q1 into the equation:
100 = k(Q1/R1 + Q1/R2)
Rearranging the equation, we get:
Q1/R1 + Q1/R2 = 100/k
Multiplying through by R1*R2, we get:
Q1R2 + Q1R1 = 100R1R2/k
Factoring out Q1, we get:
Q1(R2 + R1) = 100R1R2/k
Dividing both sides by (R2 + R1), we get:
Q1 = 100R1R2/k(R2 + R1)
Similarly, we can find Q2:
Q2 = -Q1 = -100R1R2/k(R2 + R1)
To find the ratio of the charges, we divide Q1 by Q2:
Q1/Q2 = (100R1R2/k(R2 + R1))/(-100R1R2/k(R2 + R1))
The (R2 + R1) and (-100R1R2/k) terms cancel out, leaving:
Q1/Q2 = 1
Therefore, the ratio of the charges on the two spheres is 1:1.
Free Test
FREE
| Start Free Test |
Community Answer
Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have ...
∴ Potential is more on smaller sphere.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer?
Question Description
Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer?.
Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two hollow conducting spheres of radii R1 and R2 (R1 >>R2) have equal charges. The potential wouldbe :a)more on smaller sphereb)equal on both the spheresc)dependent on the material property of thesphered)more on bigger sphereCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup