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A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V0. A hole with a small area α4πR2 (α<<1) is made on the shell without affecting the rest of the shell. Which one of the following statements is correct?
  • a)
    The ratio of the potential at the centre of the shell to that of the point at 1/2 R from centre towards the hole will be 
  • b)
    The magnitude of electric field at the centre of the shell is reduced by 
  • c)
    The magnitude of electric field at a point, located on a line passing through the hole and shell's centre on a distance 2R from the centre of the spherical shell will be reduced by 
  • d)
    The potential  at the centre of the shell is reduced by 2αV0
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A thin spherical insulating shell of radius R carries a uniformly dist...
Let charge on the sphere initially be Q.
∴ 
and charge removed = αQ




 
  
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A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V0. A hole with a small area α4πR2 (α<<1) is made on the shell without affecting the rest of the shell. Which one of the following statements is correct?a)The ratio of the potential at the centre of the shell to that of the point at 1/2 Rfrom centre towardsthe hole will beb)The magnitude of electric field at the centre of the shell is reduced byc)The magnitude of electric field at a point, located on a line passing through the hole and shells centreon a distance 2R from the centre of the spherical shell will be reduced byd)The potential at the centre of the shell is reduced by 2αV0Correct answer is option 'A'. Can you explain this answer?
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A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V0. A hole with a small area α4πR2 (α<<1) is made on the shell without affecting the rest of the shell. Which one of the following statements is correct?a)The ratio of the potential at the centre of the shell to that of the point at 1/2 Rfrom centre towardsthe hole will beb)The magnitude of electric field at the centre of the shell is reduced byc)The magnitude of electric field at a point, located on a line passing through the hole and shells centreon a distance 2R from the centre of the spherical shell will be reduced byd)The potential at the centre of the shell is reduced by 2αV0Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V0. A hole with a small area α4πR2 (α<<1) is made on the shell without affecting the rest of the shell. Which one of the following statements is correct?a)The ratio of the potential at the centre of the shell to that of the point at 1/2 Rfrom centre towardsthe hole will beb)The magnitude of electric field at the centre of the shell is reduced byc)The magnitude of electric field at a point, located on a line passing through the hole and shells centreon a distance 2R from the centre of the spherical shell will be reduced byd)The potential at the centre of the shell is reduced by 2αV0Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is V0. A hole with a small area α4πR2 (α<<1) is made on the shell without affecting the rest of the shell. Which one of the following statements is correct?a)The ratio of the potential at the centre of the shell to that of the point at 1/2 Rfrom centre towardsthe hole will beb)The magnitude of electric field at the centre of the shell is reduced byc)The magnitude of electric field at a point, located on a line passing through the hole and shells centreon a distance 2R from the centre of the spherical shell will be reduced byd)The potential at the centre of the shell is reduced by 2αV0Correct answer is option 'A'. Can you explain this answer?.
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