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 Which of the following statements is correct for stationary waves?
  • a)
     Nodes and antinodes are formed in case of stationary transverse wave only
  • b)
     In case of longitudinal stationary wave, compressions and rarefactions are obtained in place of nodes and antinodes respectively
  • c)
     Suppose two plane waves, one longitudinal and the other transverse having same frequency and amplitude are travelling in a medium in opposite directions with the same speed, by superposition of these waves, stationary waves cannot be obtained
  • d)
     None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which of the following statements is correct for stationary waves?a)No...
B is not correct because nodes have 0 intensity whereas rarefactions don’t have 0 intensity.
They are somewhat similar but not analogous and hence incorrect.
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Most Upvoted Answer
Which of the following statements is correct for stationary waves?a)No...
Statement: Suppose two plane waves, one longitudinal and the other transverse having the same frequency and amplitude are traveling in a medium in opposite directions with the same speed, by superposition of these waves, stationary waves cannot be obtained.

Explanation:
To understand the correctness of this statement, let's analyze each part of the statement:

1. Two plane waves: The statement considers two types of waves - one is longitudinal and the other is transverse.

2. Same frequency and amplitude: Both waves have the same frequency and amplitude. The frequency determines the number of oscillations per unit time, and the amplitude represents the maximum displacement from the equilibrium position.

3. Traveling in opposite directions: The waves are propagating in opposite directions, which means they have opposite phase velocities.

4. By superposition of these waves: Superposition is the process of adding two or more waves together to form a resultant wave. In this case, the two waves are being superimposed.

5. Stationary waves: Stationary waves, also known as standing waves, are formed when two waves of the same frequency and amplitude, traveling in opposite directions, interfere with each other. The interference leads to the formation of nodes and antinodes.

Analysis:
According to the statement, by superimposing a longitudinal and a transverse wave, stationary waves cannot be obtained. This statement is correct because:

- Longitudinal waves do not form stationary waves as they do not have distinct nodes and antinodes. In a longitudinal wave, compressions and rarefactions are formed instead of nodes and antinodes.

- Transverse waves do form stationary waves with nodes and antinodes. However, when a longitudinal wave and a transverse wave are superimposed, their different nature and propagation characteristics prevent the formation of stationary waves.

The combination of longitudinal and transverse waves would result in a complex wave pattern rather than a simple standing wave pattern. The interference between the two waves would not lead to the formation of nodes and antinodes characteristic of stationary waves.

Conclusion:
The statement is correct. By superimposing a longitudinal and a transverse wave with the same frequency and amplitude, traveling in opposite directions, stationary waves cannot be obtained.
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Which of the following statements is correct for stationary waves?a)Nodes and antinodes are formed in case of stationary transverse wave onlyb)In case of longitudinal stationary wave, compressions and rarefactions are obtained in place of nodes and antinodes respectivelyc)Suppose two plane waves, one longitudinal and the other transverse having same frequency and amplitude are travelling in a medium in opposite directions with the same speed, by superposition of these waves, stationary waves cannot be obtainedd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
Question Description
Which of the following statements is correct for stationary waves?a)Nodes and antinodes are formed in case of stationary transverse wave onlyb)In case of longitudinal stationary wave, compressions and rarefactions are obtained in place of nodes and antinodes respectivelyc)Suppose two plane waves, one longitudinal and the other transverse having same frequency and amplitude are travelling in a medium in opposite directions with the same speed, by superposition of these waves, stationary waves cannot be obtainedd)None of the aboveCorrect 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 Which of the following statements is correct for stationary waves?a)Nodes and antinodes are formed in case of stationary transverse wave onlyb)In case of longitudinal stationary wave, compressions and rarefactions are obtained in place of nodes and antinodes respectivelyc)Suppose two plane waves, one longitudinal and the other transverse having same frequency and amplitude are travelling in a medium in opposite directions with the same speed, by superposition of these waves, stationary waves cannot be obtainedd)None of the aboveCorrect 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 Which of the following statements is correct for stationary waves?a)Nodes and antinodes are formed in case of stationary transverse wave onlyb)In case of longitudinal stationary wave, compressions and rarefactions are obtained in place of nodes and antinodes respectivelyc)Suppose two plane waves, one longitudinal and the other transverse having same frequency and amplitude are travelling in a medium in opposite directions with the same speed, by superposition of these waves, stationary waves cannot be obtainedd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
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