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Two identical metal spheres charged with +12μF and -8μF are kept at certain distance in air. They are brought into contact and then kept at the same distance. The ratio of the magnitudes of electrostatic forces between them before and after contact is
  • a)
    12 : 1
  • b)
    8 : 1
  • c)
    24 : 1
  • d)
    4 : 1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Two identical metal spheres charged with +12μF and -8μF are ...
Analysis:

Initial Situation:
- The two identical metal spheres are initially charged with +12C and -8C, respectively.
- The electrostatic force between them can be calculated using Coulomb's law: F = k*q1*q2/r^2, where k is the Coulomb constant, q1 and q2 are the charges on the spheres, and r is the distance between them.

After Contact:
- When the spheres are brought into contact, charge transfer occurs until both spheres have the same charge (average of +12C and -8C, which is +2C each).
- The electrostatic force between the spheres after contact can be calculated using the same formula as above.

Ratio Calculation:
- The ratio of the magnitudes of electrostatic forces before and after contact can be found by comparing the expressions for F before and after contact.
- Let F1 be the force before contact and F2 be the force after contact.
- The ratio of F1 to F2 can be expressed as (k*q1*q2/r^2)/(k*q3*q4/r^2), where q3 and q4 are the charges on the spheres after contact.

Final Answer:
- Simplifying the ratio expression, we find that the ratio of the magnitudes of electrostatic forces before and after contact is 24:1.
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Community Answer
Two identical metal spheres charged with +12μF and -8μF are ...
In first case f=k12*8/r^2 .....in 2nd case f'=k2*2/r^2( net charge =20+8/2=10....so 12micro c. give 10micro c. to 8 micro c. ) hence taking ratio it will be 24:1
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Two identical metal spheres charged with +12μF and -8μF are kept at certain distance in air. They are brought into contact and then kept at the same distance. The ratio of the magnitudes of electrostatic forces between them before and after contact isa)12 : 1b)8 : 1c)24 : 1d)4 : 1Correct answer is option 'C'. Can you explain this answer?
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