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A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?
- a)The motion of the system can be split into translational, rotational and vibrational motions
- b)Number of rotational degrees of freedom are 3
- c)Number of vibrational degrees of freedom are 3
- d)Number or translational degrees of freedom are 3
- e)The system, if isolated, will conserve both total energy and total angular momentum.
Correct answer is option 'C'. Can you explain this answer?
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A system consists of N particles, interacting with each other (for exa...
The number of vibrational degrees of freedom depends on the total degrees of freedom for the system minus the translational and rotational degrees of freedom. For a system of N particles, there are 3N total degrees of freedom. Therefore, the number of vibrational degrees of freedom is 3N - (3 translational + 3 rotational) = 3N - 6, which is not always equal to 3.
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A system consists of N particles, interacting with each other (for exa...
Explanation:
The motion of a system of N particles can be classified into three types: translational, rotational and vibrational. The total number of degrees of freedom of a system is given by the sum of the number of degrees of freedom of each particle.
a) The motion of the system can be split into translational, rotational and vibrational motions: This statement is true. The motion of a system can be split into three types of motions.
b) Number of rotational degrees of freedom are 3: This statement is true. The number of rotational degrees of freedom is given by the number of independent rotational axes. For a particle, it is 3 (x, y and z axes).
c) Number or translational degrees of freedom are 3: This statement is false. The number of translational degrees of freedom is given by the number of independent directions in which a particle can move. For a system of N particles, the number of translational degrees of freedom is 3N.
d) Number of vibrational degrees of freedom are 3: This statement is true. The number of vibrational degrees of freedom is given by the number of independent ways in which a molecule can vibrate. For a linear molecule, it is 2 (stretching and bending) and for a non-linear molecule, it is 3 (stretching, bending and torsional).
e) The system, if isolated, will conserve both total energy and total angular momentum: This statement is true. If a system is isolated, then it is not influenced by any external force or torque. Therefore, the total energy and total angular momentum of the system will be conserved.
Therefore, the false statement is option 'C'. The number of translational degrees of freedom for a system of N particles is 3N.
The motion of a system of N particles can be classified into three types: translational, rotational and vibrational. The total number of degrees of freedom of a system is given by the sum of the number of degrees of freedom of each particle.
a) The motion of the system can be split into translational, rotational and vibrational motions: This statement is true. The motion of a system can be split into three types of motions.
b) Number of rotational degrees of freedom are 3: This statement is true. The number of rotational degrees of freedom is given by the number of independent rotational axes. For a particle, it is 3 (x, y and z axes).
c) Number or translational degrees of freedom are 3: This statement is false. The number of translational degrees of freedom is given by the number of independent directions in which a particle can move. For a system of N particles, the number of translational degrees of freedom is 3N.
d) Number of vibrational degrees of freedom are 3: This statement is true. The number of vibrational degrees of freedom is given by the number of independent ways in which a molecule can vibrate. For a linear molecule, it is 2 (stretching and bending) and for a non-linear molecule, it is 3 (stretching, bending and torsional).
e) The system, if isolated, will conserve both total energy and total angular momentum: This statement is true. If a system is isolated, then it is not influenced by any external force or torque. Therefore, the total energy and total angular momentum of the system will be conserved.
Therefore, the false statement is option 'C'. The number of translational degrees of freedom for a system of N particles is 3N.
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A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?a)The motion of the system can be split into translational, rotational and vibrational motionsb)Number of rotational degrees of freedom are 3c)Number of vibrational degrees of freedom are 3d)Number or translational degrees of freedom are 3e)The system, if isolated, will conserve both total energy and total angular momentum.Correct answer is option 'C'. Can you explain this answer?
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A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?a)The motion of the system can be split into translational, rotational and vibrational motionsb)Number of rotational degrees of freedom are 3c)Number of vibrational degrees of freedom are 3d)Number or translational degrees of freedom are 3e)The system, if isolated, will conserve both total energy and total angular momentum.Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?a)The motion of the system can be split into translational, rotational and vibrational motionsb)Number of rotational degrees of freedom are 3c)Number of vibrational degrees of freedom are 3d)Number or translational degrees of freedom are 3e)The system, if isolated, will conserve both total energy and total angular momentum.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?a)The motion of the system can be split into translational, rotational and vibrational motionsb)Number of rotational degrees of freedom are 3c)Number of vibrational degrees of freedom are 3d)Number or translational degrees of freedom are 3e)The system, if isolated, will conserve both total energy and total angular momentum.Correct answer is option 'C'. Can you explain this answer?.
A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?a)The motion of the system can be split into translational, rotational and vibrational motionsb)Number of rotational degrees of freedom are 3c)Number of vibrational degrees of freedom are 3d)Number or translational degrees of freedom are 3e)The system, if isolated, will conserve both total energy and total angular momentum.Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?a)The motion of the system can be split into translational, rotational and vibrational motionsb)Number of rotational degrees of freedom are 3c)Number of vibrational degrees of freedom are 3d)Number or translational degrees of freedom are 3e)The system, if isolated, will conserve both total energy and total angular momentum.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?a)The motion of the system can be split into translational, rotational and vibrational motionsb)Number of rotational degrees of freedom are 3c)Number of vibrational degrees of freedom are 3d)Number or translational degrees of freedom are 3e)The system, if isolated, will conserve both total energy and total angular momentum.Correct answer is option 'C'. Can you explain this answer?.
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