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Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?
(I) Two curves differ widely in lower and higher inter-nuclear distance region
(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region
(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure
(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steep
(I) Two curves differ widely in lower and higher inter-nuclear distance region
(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region
(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure
(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steep
- a)I, III
- b)I, II, IV
- c)I, II, III
- d)I, II, III, IV
Correct answer is option 'D'. Can you explain this answer?
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Choose the correct statement(s) in reference to simple Harmonic and An...
Statement (I): Two curves differ widely in lower and higher inter-nuclear distance region
- In a simple harmonic oscillator model, the potential energy curve is symmetric and follows a parabolic shape. The energy increases quadratically as the inter-nuclear distance increases.
- However, in an anharmonic oscillator model, the potential energy curve deviates from a simple parabolic shape. The energy curve may have additional minima and maxima, resulting in a more complex shape.
- Therefore, the potential energy curves of simple harmonic and anharmonic oscillators differ widely in the lower and higher inter-nuclear distance regions.
Statement (II): The actual energy diagram rises more steeply than the harmonic parabola energy diagram in the lower inter-nuclear distance region
- In a simple harmonic oscillator model, the potential energy curve follows a parabolic shape, and the energy increases gradually as the inter-nuclear distance increases.
- However, in an anharmonic oscillator model, the potential energy curve may rise more steeply than a parabola in the lower inter-nuclear distance region. This is due to the additional interactions and forces present in the anharmonic system.
- Therefore, the statement is correct, as the actual energy diagram of an anharmonic oscillator rises more steeply than the harmonic parabola energy diagram in the lower inter-nuclear distance region.
Statement (III): In the region near the equilibrium inter-nuclear distance, the curves do not show appreciable departure
- The equilibrium inter-nuclear distance is the position where the net force on the atoms is zero, and the potential energy is at a minimum.
- In both the simple harmonic and anharmonic oscillator models, the potential energy curves are symmetric around the equilibrium inter-nuclear distance.
- Therefore, in the region near the equilibrium inter-nuclear distance, the potential energy curves of both models do not show appreciable departure.
- Thus, statement (III) is correct.
Statement (IV): In the higher inter-nuclear distance region, the rise for the actual energy diagram is less steep
- In a simple harmonic oscillator model, the potential energy curve follows a parabolic shape, and the energy increases gradually as the inter-nuclear distance increases.
- However, in an anharmonic oscillator model, the potential energy curve may rise less steeply than a parabola in the higher inter-nuclear distance region. This is again due to the additional interactions and forces present in the anharmonic system.
- Therefore, the statement is correct, as the rise for the actual energy diagram of an anharmonic oscillator is less steep than the harmonic parabola energy diagram in the higher inter-nuclear distance region.
Conclusion:
- Based on the explanations provided above, we can conclude that all the statements (I, II, III, IV) are correct.
- Therefore, the correct answer is option 'D'.
- In a simple harmonic oscillator model, the potential energy curve is symmetric and follows a parabolic shape. The energy increases quadratically as the inter-nuclear distance increases.
- However, in an anharmonic oscillator model, the potential energy curve deviates from a simple parabolic shape. The energy curve may have additional minima and maxima, resulting in a more complex shape.
- Therefore, the potential energy curves of simple harmonic and anharmonic oscillators differ widely in the lower and higher inter-nuclear distance regions.
Statement (II): The actual energy diagram rises more steeply than the harmonic parabola energy diagram in the lower inter-nuclear distance region
- In a simple harmonic oscillator model, the potential energy curve follows a parabolic shape, and the energy increases gradually as the inter-nuclear distance increases.
- However, in an anharmonic oscillator model, the potential energy curve may rise more steeply than a parabola in the lower inter-nuclear distance region. This is due to the additional interactions and forces present in the anharmonic system.
- Therefore, the statement is correct, as the actual energy diagram of an anharmonic oscillator rises more steeply than the harmonic parabola energy diagram in the lower inter-nuclear distance region.
Statement (III): In the region near the equilibrium inter-nuclear distance, the curves do not show appreciable departure
- The equilibrium inter-nuclear distance is the position where the net force on the atoms is zero, and the potential energy is at a minimum.
- In both the simple harmonic and anharmonic oscillator models, the potential energy curves are symmetric around the equilibrium inter-nuclear distance.
- Therefore, in the region near the equilibrium inter-nuclear distance, the potential energy curves of both models do not show appreciable departure.
- Thus, statement (III) is correct.
Statement (IV): In the higher inter-nuclear distance region, the rise for the actual energy diagram is less steep
- In a simple harmonic oscillator model, the potential energy curve follows a parabolic shape, and the energy increases gradually as the inter-nuclear distance increases.
- However, in an anharmonic oscillator model, the potential energy curve may rise less steeply than a parabola in the higher inter-nuclear distance region. This is again due to the additional interactions and forces present in the anharmonic system.
- Therefore, the statement is correct, as the rise for the actual energy diagram of an anharmonic oscillator is less steep than the harmonic parabola energy diagram in the higher inter-nuclear distance region.
Conclusion:
- Based on the explanations provided above, we can conclude that all the statements (I, II, III, IV) are correct.
- Therefore, the correct answer is option 'D'.
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Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?(I) Two curves differ widely in lower and higher inter-nuclear distance region(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steepa)I, IIIb)I, II, IVc)I, II, IIId)I, II, III, IVCorrect answer is option 'D'. Can you explain this answer?
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Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?(I) Two curves differ widely in lower and higher inter-nuclear distance region(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steepa)I, IIIb)I, II, IVc)I, II, IIId)I, II, III, IVCorrect answer is option 'D'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?(I) Two curves differ widely in lower and higher inter-nuclear distance region(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steepa)I, IIIb)I, II, IVc)I, II, IIId)I, II, III, IVCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?(I) Two curves differ widely in lower and higher inter-nuclear distance region(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steepa)I, IIIb)I, II, IVc)I, II, IIId)I, II, III, IVCorrect answer is option 'D'. Can you explain this answer?.
Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?(I) Two curves differ widely in lower and higher inter-nuclear distance region(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steepa)I, IIIb)I, II, IVc)I, II, IIId)I, II, III, IVCorrect answer is option 'D'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?(I) Two curves differ widely in lower and higher inter-nuclear distance region(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steepa)I, IIIb)I, II, IVc)I, II, IIId)I, II, III, IVCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?(I) Two curves differ widely in lower and higher inter-nuclear distance region(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steepa)I, IIIb)I, II, IVc)I, II, IIId)I, II, III, IVCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?(I) Two curves differ widely in lower and higher inter-nuclear distance region(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steepa)I, IIIb)I, II, IVc)I, II, IIId)I, II, III, IVCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Chemistry.
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Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?(I) Two curves differ widely in lower and higher inter-nuclear distance region(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steepa)I, IIIb)I, II, IVc)I, II, IIId)I, II, III, IVCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?(I) Two curves differ widely in lower and higher inter-nuclear distance region(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steepa)I, IIIb)I, II, IVc)I, II, IIId)I, II, III, IVCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?(I) Two curves differ widely in lower and higher inter-nuclear distance region(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steepa)I, IIIb)I, II, IVc)I, II, IIId)I, II, III, IVCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Choose the correct statement(s) in reference to simple Harmonic and Anharmonic oscillator model?(I) Two curves differ widely in lower and higher inter-nuclear distance region(II) The actual energy diagram rises more steeply than harmonic parabola energy diagram in lower inter-nuclear distance region(III) In the region near to equilibrium inter-nuclear distance, the curves do not show appreciable departure(IV) In higher inter-nuclear distance region, rise for actual energy diagram is less steepa)I, IIIb)I, II, IVc)I, II, IIId)I, II, III, IVCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Chemistry tests.
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