All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
Class 12 Exam  >  Class 12 Questions  >  If two spheres of different radii have equal ... Start Learning for Free
SaveJoin the Discussion on the App
If two spheres of different radii have equal charge, then the potential will be
  • a)
    dependent on nature of material of the spheres.
  • b)
    more on smaller sphere
  • c)
    more on bigger sphere
  • d)
    equal on both spheres
Correct answer is option 'B'. Can you explain this answer?
FREE This question is part of
Download PDF Attempt Test
Download PDF Attempt this Test
Verified Answer
If two spheres of different radii have equal charge, then the potentia...
The potential due to a charge Q is .

 
As seen from the above equation, potential is inversely proportional to the distance r from the centre.
Thus, a sphere with smaller radii will have a larger potential.
View all questions of this test
Most Upvoted Answer
If two spheres of different radii have equal charge, then the potentia...
Explanation:
When two spheres of different radii have equal charge, the potential will be more on the smaller sphere. This can be explained using the equation for electric potential.

Electric potential:
The electric potential at a point in space is given by the equation V = kQ/r, where V is the electric potential, k is the electrostatic constant, Q is the charge, and r is the distance from the charge.

Relation between potential and radius:
In the case of two spheres with equal charge, the charge Q is the same for both spheres. However, the radius of the spheres is different. Let's assume that the radius of the smaller sphere is r1 and the radius of the larger sphere is r2.

Comparison of electric potential:
Since the charge is the same for both spheres, the only difference in the electric potential equation is the distance from the charge. As the distance from the charge decreases (i.e., when the radius is smaller), the electric potential increases. Therefore, the electric potential will be more on the smaller sphere.

Reason:
The reason for this is that the electric potential is inversely proportional to the distance from the charge. When the radius of the sphere is smaller, the distance from the charge is smaller, leading to a higher electric potential. On the other hand, when the radius of the sphere is larger, the distance from the charge is larger, resulting in a lower electric potential.

Conclusion:
Therefore, when two spheres of different radii have equal charge, the electric potential will be more on the smaller sphere. This is because the electric potential is inversely proportional to the distance from the charge, and the distance is smaller for the smaller sphere.
Free Test
FREE
Start Free Test
Start Free Test
Community Answer
If two spheres of different radii have equal charge, then the potentia...
When equal charges are given to two spheres of different radii, the potential will be more or the smaller sphere as per the equation, Potential = Charge / Radius.
Since potential is inversely proportional to radius, the smaller radius will have higher potential and vice versa.
< Previous Question Next Question >
Explore Courses for Class 12 exam

Similar Class 12 Doubts

Read the following text and answer the following questions on the basis of the same:Negative Refractive Index: One of the most fundamental phenomena in optics is refraction. When a beam of light crosses the interface between two different materials, its path is altered depending on the difference in the refractive indices of the materials. The greater the difference, the greater the refraction of the beam. For all known naturally occurring materials the refractive index assumes only positive values. But does this have to be the case?In 1967, Soviet physicist Victor Veselago hypothesized that a material with a negative refractive index could exist without violating any of the laws of physics.Veselago predicted that this remarkable material would exhibit a wide variety of new optical phenomena. However, until recently no one had found such a material and Veselago’s ideas had remained untested. Recently, meta-material samples are being tested for negative refractive index. But the experiments show significant losses and this could be an intrinsic property of negativeindex materials.Snell’s law is satisfied for the materials having a negative refractive index, but the direction of the refracted light ray is ‘mirror-imaged’ about the normal to the surface.There will be an interesting difference in image formation if a vessel is filled with “negative water” having refractive index – 1.33 instead of regular water having refractive index 1.33.Say, there is a fish in a vessel filled with negative water. The position of the fish is such that the observer cannot see it due to normal refraction since the refracted ray does not reach to his eye.But due to negative refraction, he will be able to see it since the refracted ray now reaches his eye.Q. When the angle of incidence will be equal to angle of refraction for material having negative refraction index?

Read the following text and answer the following questions on the basis of the same:Negative Refractive Index: One of the most fundamental phenomena in optics is refraction. When a beam of light crosses the interface between two different materials, its path is altered depending on the difference in the refractive indices of the materials. The greater the difference, the greater the refraction of the beam. For all known naturally occurring materials the refractive index assumes only positive values. But does this have to be the case?In 1967, Soviet physicist Victor Veselago hypothesized that a material with a negative refractive index could exist without violating any of the laws of physics.Veselago predicted that this remarkable material would exhibit a wide variety of new optical phenomena. However, until recently no one had found such a material and Veselago’s ideas had remained untested. Recently, meta-material samples are being tested for negative refractive index. But the experiments show significant losses and this could be an intrinsic property of negativeindex materials.Snell’s law is satisfied for the materials having a negative refractive index, but the direction of the refracted light ray is ‘mirror-imaged’ about the normal to the surface.There will be an interesting difference in image formation if a vessel is filled with “negative water” having refractive index – 1.33 instead of regular water having refractive index 1.33.Say, there is a fish in a vessel filled with negative water. The position of the fish is such that the observer cannot see it due to normal refraction since the refracted ray does not reach to his eye.But due to negative refraction, he will be able to see it since the refracted ray now reaches his eye.Q. Who hypothesized that a material may have a negative refractive index ?

If two spheres of different radii have equal charge, then the potential will bea)dependent on nature of material of the spheres.b)more on smaller spherec)more on bigger sphered)equal on both spheresCorrect answer is option 'B'. Can you explain this answer?
Question Description
If two spheres of different radii have equal charge, then the potential will bea)dependent on nature of material of the spheres.b)more on smaller spherec)more on bigger sphered)equal on both spheresCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If two spheres of different radii have equal charge, then the potential will bea)dependent on nature of material of the spheres.b)more on smaller spherec)more on bigger sphered)equal on both spheresCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If two spheres of different radii have equal charge, then the potential will bea)dependent on nature of material of the spheres.b)more on smaller spherec)more on bigger sphered)equal on both spheresCorrect answer is option 'B'. Can you explain this answer?.
Solutions for If two spheres of different radii have equal charge, then the potential will bea)dependent on nature of material of the spheres.b)more on smaller spherec)more on bigger sphered)equal on both spheresCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12. Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of If two spheres of different radii have equal charge, then the potential will bea)dependent on nature of material of the spheres.b)more on smaller spherec)more on bigger sphered)equal on both spheresCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of If two spheres of different radii have equal charge, then the potential will bea)dependent on nature of material of the spheres.b)more on smaller spherec)more on bigger sphered)equal on both spheresCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for If two spheres of different radii have equal charge, then the potential will bea)dependent on nature of material of the spheres.b)more on smaller spherec)more on bigger sphered)equal on both spheresCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of If two spheres of different radii have equal charge, then the potential will bea)dependent on nature of material of the spheres.b)more on smaller spherec)more on bigger sphered)equal on both spheresCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice If two spheres of different radii have equal charge, then the potential will bea)dependent on nature of material of the spheres.b)more on smaller spherec)more on bigger sphered)equal on both spheresCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 12 tests.
Explore Courses for Class 12 exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up
within 7 days!
Takes less than 10 seconds to signup