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Eight small drops each of radius r and having same charge q combines to form a bigger sphere.the ration between the potential of bigger drop to smaller drop is:?
Most Upvoted Answer
Eight small drops each of radius r and having same charge q combines t...
Explanation:
When eight identical small drops of radius r combine to form a bigger sphere, the charge on each small drop remains the same. Therefore, the total charge on the bigger sphere is 8q, where q is the charge on each small drop.
Calculating the potential:
The potential of a sphere of radius R and charge q is given by the formula V = (1/4πε) (q/R), where ε is the permittivity of the medium.
Calculating the potential of bigger sphere:
Using the above formula, the potential of the bigger sphere can be calculated as V1 = (1/4πε) (8q/R1), where R1 is the radius of the bigger sphere.
Calculating the potential of smaller sphere:
Similarly, the potential of a small drop of radius r and charge q can be calculated as V2 = (1/4πε) (q/r).
Calculating the ratio of potentials:
Dividing V1 by V2, we get:
V1/V2 = (8q/R1) / (q/r)
V1/V2 = 8R/r
Therefore, the ratio of potential of the bigger sphere to that of a smaller drop is 8 times the ratio of their radii.
Community Answer
Eight small drops each of radius r and having same charge q combines t...
8q÷2r potential of bigger oneQ÷r potential of small oneSo ratio is 4
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Eight small drops each of radius r and having same charge q combines to form a bigger sphere.the ration between the potential of bigger drop to smaller drop is:?
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Eight small drops each of radius r and having same charge q combines to form a bigger sphere.the ration between the potential of bigger drop to smaller drop is:? 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 Eight small drops each of radius r and having same charge q combines to form a bigger sphere.the ration between the potential of bigger drop to smaller drop is:? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Eight small drops each of radius r and having same charge q combines to form a bigger sphere.the ration between the potential of bigger drop to smaller drop is:?.
Eight small drops each of radius r and having same charge q combines to form a bigger sphere.the ration between the potential of bigger drop to smaller drop is:? 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 Eight small drops each of radius r and having same charge q combines to form a bigger sphere.the ration between the potential of bigger drop to smaller drop is:? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Eight small drops each of radius r and having same charge q combines to form a bigger sphere.the ration between the potential of bigger drop to smaller drop is:?.
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