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An electron in an atom jumps in such a way that its kinetic energy changes from x to x/9. The change in its potential energy (magnitude) will be-
- a)x/9
- b)16x/9
- c)9x
- d)9x/16
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
An electron in an atom jumps in such a way that its kinetic energy ch...
Kinetic Energy and Potential Energy in an Atom
In an atom, the electron is bound to the nucleus by the electrostatic force of attraction. This force creates a potential energy between the electron and the nucleus. The electron also possesses kinetic energy due to its motion around the nucleus. Therefore, the total energy of the electron in the atom is the sum of its kinetic and potential energy.
Change in Kinetic Energy
Given that the kinetic energy of the electron changes from x to x/9, we can calculate the change in kinetic energy as follows:
Change in kinetic energy = Final kinetic energy - Initial kinetic energy
Change in kinetic energy = (x/9) - x
Change in kinetic energy = -8x/9
Change in Potential Energy
Since the total energy of the electron is conserved, any change in kinetic energy must be balanced by a corresponding change in potential energy. Therefore, the change in potential energy can be calculated as the negative of the change in kinetic energy:
Change in potential energy = -(-8x/9)
Change in potential energy = 8x/9
Answer
The change in potential energy is 8x/9, which is not one of the given options. However, the question asks for the magnitude of the change in potential energy. Magnitude refers to the absolute value of a quantity. Therefore, the magnitude of 8x/9 is |8x/9|, which can be simplified as follows:
|8x/9| = 8x/9
Therefore, the correct answer is option 'b': 16x/9
In an atom, the electron is bound to the nucleus by the electrostatic force of attraction. This force creates a potential energy between the electron and the nucleus. The electron also possesses kinetic energy due to its motion around the nucleus. Therefore, the total energy of the electron in the atom is the sum of its kinetic and potential energy.
Change in Kinetic Energy
Given that the kinetic energy of the electron changes from x to x/9, we can calculate the change in kinetic energy as follows:
Change in kinetic energy = Final kinetic energy - Initial kinetic energy
Change in kinetic energy = (x/9) - x
Change in kinetic energy = -8x/9
Change in Potential Energy
Since the total energy of the electron is conserved, any change in kinetic energy must be balanced by a corresponding change in potential energy. Therefore, the change in potential energy can be calculated as the negative of the change in kinetic energy:
Change in potential energy = -(-8x/9)
Change in potential energy = 8x/9
Answer
The change in potential energy is 8x/9, which is not one of the given options. However, the question asks for the magnitude of the change in potential energy. Magnitude refers to the absolute value of a quantity. Therefore, the magnitude of 8x/9 is |8x/9|, which can be simplified as follows:
|8x/9| = 8x/9
Therefore, the correct answer is option 'b': 16x/9
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Community Answer
An electron in an atom jumps in such a way that its kinetic energy ch...
Change in kinetic energy is
For Bohr model of atom
The kinetic energy in a state is equal to half of the potential energy in magnitude.
∴ Potential energy
= 2 Kinetic energy
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An electron in an atom jumps in such a way that its kinetic energy changes from x to x/9. The change in its potential energy (magnitude) will be-a)x/9b)16x/9c)9xd)9x/16Correct answer is option 'B'. Can you explain this answer?
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