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An electron in an atom jumps in such a way that its K. E. changes from x to x/4. The change in potential energy will be A. 3/2x B. -3/8x C. 3/4x D. -3/4x Option A is the answer. can someone pls explain.?
Most Upvoted Answer
An electron in an atom jumps in such a way that its K. E. changes from...
Kinetic energy =potential energy /2 so in first case K. E =x so potential energy =2x in seconds case when K. E is x/4 then potential energy =x/2 we find change in P. E so 2x-x/2=3x/2
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An electron in an atom jumps in such a way that its K. E. changes from...
Understanding Energy Changes in Electron Transitions
When an electron transitions between energy levels in an atom, its kinetic energy (K.E.) and potential energy (P.E.) are interconnected. The relationship is governed by the conservation of energy principle.
Initial and Final Kinetic Energy
- Initial K.E. = x
- Final K.E. = x/4
- Change in K.E. = Final K.E. - Initial K.E.
- Change in K.E. = (x/4) - x = -3x/4
Relationship Between K.E. and P.E.
According to the conservation of energy, the total mechanical energy (TME) remains constant:
- TME = K.E. + P.E.
If the K.E. decreases, the P.E. must change to maintain the total energy.
Calculating Change in Potential Energy
- Since K.E. changes by -3x/4, the change in P.E. must compensate for this decrease.
- Therefore, the change in P.E. = - (Change in K.E.)
- Change in P.E. = -(-3x/4) = 3x/4
However, because we are considering the change in energy states, we need to express it correctly in terms of the initial energy:
- Final change in P.E. = -3/4 x (as a loss in P.E. when K.E. decreases).
Conclusion
The correct answer for the change in potential energy when the kinetic energy of the electron decreases from x to x/4 is:
- Option D: -3/4x
This indicates that as the electron loses kinetic energy, it must gain potential energy, leading to a change of -3/4x in potential energy.
When an electron transitions between energy levels in an atom, its kinetic energy (K.E.) and potential energy (P.E.) are interconnected. The relationship is governed by the conservation of energy principle.
Initial and Final Kinetic Energy
- Initial K.E. = x
- Final K.E. = x/4
- Change in K.E. = Final K.E. - Initial K.E.
- Change in K.E. = (x/4) - x = -3x/4
Relationship Between K.E. and P.E.
According to the conservation of energy, the total mechanical energy (TME) remains constant:
- TME = K.E. + P.E.
If the K.E. decreases, the P.E. must change to maintain the total energy.
Calculating Change in Potential Energy
- Since K.E. changes by -3x/4, the change in P.E. must compensate for this decrease.
- Therefore, the change in P.E. = - (Change in K.E.)
- Change in P.E. = -(-3x/4) = 3x/4
However, because we are considering the change in energy states, we need to express it correctly in terms of the initial energy:
- Final change in P.E. = -3/4 x (as a loss in P.E. when K.E. decreases).
Conclusion
The correct answer for the change in potential energy when the kinetic energy of the electron decreases from x to x/4 is:
- Option D: -3/4x
This indicates that as the electron loses kinetic energy, it must gain potential energy, leading to a change of -3/4x in potential energy.
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An electron in an atom jumps in such a way that its K. E. changes from x to x/4. The change in potential energy will be A. 3/2x B. -3/8x C. 3/4x D. -3/4x Option A is the answer. can someone pls explain.?
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An electron in an atom jumps in such a way that its K. E. changes from x to x/4. The change in potential energy will be A. 3/2x B. -3/8x C. 3/4x D. -3/4x Option A is the answer. can someone pls explain.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An electron in an atom jumps in such a way that its K. E. changes from x to x/4. The change in potential energy will be A. 3/2x B. -3/8x C. 3/4x D. -3/4x Option A is the answer. can someone pls explain.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electron in an atom jumps in such a way that its K. E. changes from x to x/4. The change in potential energy will be A. 3/2x B. -3/8x C. 3/4x D. -3/4x Option A is the answer. can someone pls explain.?.
An electron in an atom jumps in such a way that its K. E. changes from x to x/4. The change in potential energy will be A. 3/2x B. -3/8x C. 3/4x D. -3/4x Option A is the answer. can someone pls explain.? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An electron in an atom jumps in such a way that its K. E. changes from x to x/4. The change in potential energy will be A. 3/2x B. -3/8x C. 3/4x D. -3/4x Option A is the answer. can someone pls explain.? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An electron in an atom jumps in such a way that its K. E. changes from x to x/4. The change in potential energy will be A. 3/2x B. -3/8x C. 3/4x D. -3/4x Option A is the answer. can someone pls explain.?.
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