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There are two small uncharged spheres placed at a distance of 1 m from each other. N number of electrons are transferred from one sphere to another. The force between the spheres is now measured to be equal to 2 newton, then the value of N is 4.8 x 105 O 6.1 x 10² O2.8 x 106 9.3 × 1013?
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There are two small uncharged spheres placed at a distance of 1 m from...
Solution:

Given: Two small uncharged spheres placed at a distance of 1 m from each other, Force between the spheres after transfer of N electrons is measured to be equal to 2 Newton.

To find: Value of N.

Step 1: Understanding the concept

When two uncharged spheres are brought in contact and separated, they acquire equal and opposite charges due to the transfer of electrons. The force between them is given by Coulomb's law,

F = k (q1 x q2)/r²

where k is Coulomb's constant, q1 and q2 are charges on the spheres and r is the distance between them.

Step 2: Calculation of initial force

As the spheres are initially uncharged, the initial force between them is zero.

F(initial) = 0

Step 3: Calculation of final force

After N electrons are transferred from one sphere to another, the charges on the spheres become q and -q respectively. The force between them is given by,

F(final) = k (q²/r²)

where q = Ne (e is the charge on an electron)

F(final) = k (N²e²/r²)

F(final) = k (N² x (1.6 x 10^-19)^2/1^2)

F(final) = k (2.56 x 10^-37 x N²)

Step 4: Calculation of N

Given, F(final) = 2 N

2 = k (2.56 x 10^-37 x N²)

N² = (2/ k) x (1/2.56 x 10^-37)

N² = 7.8125 x 10^37

N = √(7.8125 x 10^37)

N = 2.8 x 10^18

Therefore, the value of N is 2.8 x 10^18.

Conclusion:

The value of N is 2.8 x 10^18. This is because the force between the spheres is directly proportional to the square of the charge on the spheres. When N electrons are transferred from one sphere to another, the charge on the spheres becomes q and -q respectively, resulting in a force between them that is proportional to N². By equating the final force to the given value of 2 Newton, we can calculate the value of N.
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Read the following text and answer the following questions on the basis of the same:Band theory of solid:Consider that the Si or Ge crystal contains N atoms. Electrons of each atom will have discrete energies in different orbits. The electron energy will be same if all the atoms are isolated, i.e., separated from each other by a large distance. However, in a crystal, the atoms are close to each other (2 Å to 3 Å) and therefore the electrons interact with each other and also with the neighbouring atomic cores. The overlap (or interaction) will be more felt by the electrons in the outermost orbit while the inner orbit or core electron energies may remain unaffected. Therefore, for understanding electron energies in Si or Ge crystal, we need to consider the changes in the energies of the electrons in the outermost orbit only. For Si, the outermost orbit is the third orbit (n = 3), while for Ge it is the fourth orbit (n = 4). The number of electrons in the outermost orbit is 4 (2s and 2p electrons). Hence, the total number of outer electrons in the crystal is 4N. The maximum possible number of outer electrons in the orbit is 8 (2s + 6p electrons). So, out of the 4N electrons, 2N electrons are in the 2N s-states (orbital quantum number l = 0) and 2N electrons are in the available 6N p-states. Obviously, some p-electron states are empty. This is the case of well separated or isolated atoms.Q. The energy of electrons of atoms of a substance will be same if

There are two small uncharged spheres placed at a distance of 1 m from each other. N number of electrons are transferred from one sphere to another. The force between the spheres is now measured to be equal to 2 newton, then the value of N is 4.8 x 105 O 6.1 x 10² O2.8 x 106 9.3 × 1013?
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There are two small uncharged spheres placed at a distance of 1 m from each other. N number of electrons are transferred from one sphere to another. The force between the spheres is now measured to be equal to 2 newton, then the value of N is 4.8 x 105 O 6.1 x 10² O2.8 x 106 9.3 × 1013? 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 There are two small uncharged spheres placed at a distance of 1 m from each other. N number of electrons are transferred from one sphere to another. The force between the spheres is now measured to be equal to 2 newton, then the value of N is 4.8 x 105 O 6.1 x 10² O2.8 x 106 9.3 × 1013? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two small uncharged spheres placed at a distance of 1 m from each other. N number of electrons are transferred from one sphere to another. The force between the spheres is now measured to be equal to 2 newton, then the value of N is 4.8 x 105 O 6.1 x 10² O2.8 x 106 9.3 × 1013?.
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