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Two plates are kept at a distance of 0.1m and their potential difference is 20V. An electron is kept at rest on the surface of the plate with lower potential. What will be the velocity of the electron when it strikes another plate?
  • a)
    1.87*106 m/s
  • b)
    2.65*106 m/s
  • c)
    7.02*1012 m/s
  • d)
    32*10-19 m/s
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Two plates are kept at a distance of 0.1m and their potential differen...
Given:
Distance between plates (d) = 0.1m
Potential difference (V) = 20V

To find:
Velocity of electron (v)

Solution:
1. Calculate the electric field between the plates
Electric field (E) = V/d
E = 20/0.1 = 200 V/m

2. Calculate the force acting on the electron
Force (F) = eE
Where e is the charge of an electron = 1.6 × 10^-19 C
F = (1.6 × 10^-19) × 200 = 3.2 × 10^-17 N

3. Calculate the acceleration of the electron
Acceleration (a) = F/m
Where m is the mass of an electron = 9.1 × 10^-31 kg
a = (3.2 × 10^-17) / (9.1 × 10^-31) = 3.52 × 10^13 m/s^2

4. Calculate the time taken by the electron to travel the distance between the plates
Distance (d) = 0.1m
Using the formula: d = 1/2at^2
t = √(2d/a) = √(2 × 0.1 / 3.52 × 10^13) = 1.87 × 10^-7 s

5. Calculate the velocity of the electron
Using the formula: v = at
v = 3.52 × 10^13 × 1.87 × 10^-7 = 2.65 × 10^6 m/s

Therefore, the velocity of the electron when it strikes another plate is 2.65 × 10^6 m/s.

Answer: (b) 2.65*10^6 m/s.
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Two plates are kept at a distance of 0.1m and their potential differen...
Increase in potential energy of the electron when it strikes another plate = Potential difference*charge of electron = 20*1.6*10-19 J = 3.201*10-18J and as the electron was at rest initially, this energy will be converted to kinetic energy completely. Therefore, 0.5*mass of electron*(velocity)2 = 3.201*10-18J. Substituting m = 9.11*10-31kg, we get v = 2.65*106 m/s.
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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. In a crystal, the distance between two atoms is

Two plates are kept at a distance of 0.1m and their potential difference is 20V. An electron is kept at rest on the surface of the plate with lower potential. What will be the velocity of the electron when it strikes another plate?a)1.87*106 m/sb)2.65*106 m/sc)7.02*1012 m/sd)32*10-19 m/sCorrect answer is option 'B'. Can you explain this answer?
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Two plates are kept at a distance of 0.1m and their potential difference is 20V. An electron is kept at rest on the surface of the plate with lower potential. What will be the velocity of the electron when it strikes another plate?a)1.87*106 m/sb)2.65*106 m/sc)7.02*1012 m/sd)32*10-19 m/sCorrect answer is option 'B'. Can you explain this answer? 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 plates are kept at a distance of 0.1m and their potential difference is 20V. An electron is kept at rest on the surface of the plate with lower potential. What will be the velocity of the electron when it strikes another plate?a)1.87*106 m/sb)2.65*106 m/sc)7.02*1012 m/sd)32*10-19 m/sCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two plates are kept at a distance of 0.1m and their potential difference is 20V. An electron is kept at rest on the surface of the plate with lower potential. What will be the velocity of the electron when it strikes another plate?a)1.87*106 m/sb)2.65*106 m/sc)7.02*1012 m/sd)32*10-19 m/sCorrect answer is option 'B'. Can you explain this answer?.
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