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Two balls with equal charges are in a vessel with ice at -10 C at a distance of 25 cm from each other. On forming water at 0 C, the balls are brought nearer to 5cm for interaction between them to be same. If dielectric constant of water at 0 C is 80, the dielectric constant of ice at -10 C is ?
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Two balls with equal charges are in a vessel with ice at -10 C at a di...
Calculation of Dielectric Constant of Ice at -10 C
Given Data:
- Initial distance between two balls = 25 cm
- Final distance between two balls = 5 cm
- Dielectric constant of water at 0 C = 80
Formula:
For two charged spheres, the force of interaction between them is given by:
F = (Q^2 / 4πεr^2)
where:
- F = force of interaction between the spheres
- Q = charge on each sphere
- ε = dielectric constant of the medium between the spheres
- r = distance between the centers of the spheres
Solution:
Let the initial charge on each sphere be Q1 and the final charge on each sphere be Q2. Since the balls have equal charges, Q1 = Q2.
Using the formula for force of interaction between the spheres, we have:
F1 = (Q1^2 / 4πε1r1^2)
F2 = (Q2^2 / 4πε2r2^2)
Since the force of interaction between the spheres is the same in both cases, we can equate F1 and F2:
(Q1^2 / 4πε1r1^2) = (Q2^2 / 4πε2r2^2)
Since Q1 = Q2, we can simplify the equation to:
(1 / ε1r1^2) = (1 / ε2r2^2)
Substituting the given values, we have:
(1 / (εice)(25)^2) = (1 / (80)(5)^2)
Solving for εice, we get:
εice = (80)(5)^2(25)^2 = 25000
Answer:
The dielectric constant of ice at -10 C is 25000.
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Two balls with equal charges are in a vessel with ice at -10 C at a distance of 25 cm from each other. On forming water at 0 C, the balls are brought nearer to 5cm for interaction between them to be same. If dielectric constant of water at 0 C is 80, the dielectric constant of ice at -10 C is ?
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Two balls with equal charges are in a vessel with ice at -10 C at a distance of 25 cm from each other. On forming water at 0 C, the balls are brought nearer to 5cm for interaction between them to be same. If dielectric constant of water at 0 C is 80, the dielectric constant of ice at -10 C 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 Two balls with equal charges are in a vessel with ice at -10 C at a distance of 25 cm from each other. On forming water at 0 C, the balls are brought nearer to 5cm for interaction between them to be same. If dielectric constant of water at 0 C is 80, the dielectric constant of ice at -10 C is ? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two balls with equal charges are in a vessel with ice at -10 C at a distance of 25 cm from each other. On forming water at 0 C, the balls are brought nearer to 5cm for interaction between them to be same. If dielectric constant of water at 0 C is 80, the dielectric constant of ice at -10 C is ?.
Two balls with equal charges are in a vessel with ice at -10 C at a distance of 25 cm from each other. On forming water at 0 C, the balls are brought nearer to 5cm for interaction between them to be same. If dielectric constant of water at 0 C is 80, the dielectric constant of ice at -10 C 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 Two balls with equal charges are in a vessel with ice at -10 C at a distance of 25 cm from each other. On forming water at 0 C, the balls are brought nearer to 5cm for interaction between them to be same. If dielectric constant of water at 0 C is 80, the dielectric constant of ice at -10 C is ? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two balls with equal charges are in a vessel with ice at -10 C at a distance of 25 cm from each other. On forming water at 0 C, the balls are brought nearer to 5cm for interaction between them to be same. If dielectric constant of water at 0 C is 80, the dielectric constant of ice at -10 C is ?.
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Two balls with equal charges are in a vessel with ice at -10 C at a distance of 25 cm from each other. On forming water at 0 C, the balls are brought nearer to 5cm for interaction between them to be same. If dielectric constant of water at 0 C is 80, the dielectric constant of ice at -10 C is ?, a detailed solution for Two balls with equal charges are in a vessel with ice at -10 C at a distance of 25 cm from each other. On forming water at 0 C, the balls are brought nearer to 5cm for interaction between them to be same. If dielectric constant of water at 0 C is 80, the dielectric constant of ice at -10 C is ? has been provided alongside types of Two balls with equal charges are in a vessel with ice at -10 C at a distance of 25 cm from each other. On forming water at 0 C, the balls are brought nearer to 5cm for interaction between them to be same. If dielectric constant of water at 0 C is 80, the dielectric constant of ice at -10 C is ? theory, EduRev gives you an
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