Which of the following statements is correct for stationary waves

Nodes and antinodes are formed in case of stationary transverse wave only

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In case of longitudinal stationary wave, compressions are rarefactions are obtained in place of nodes and antinodes respectively

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Suppose two plane waves, one longitudinal and the other transverse having same frequency and amplitude are traveling in a medium in opposite directions with the same speed, by superposition of these waves, stationary waves can be obtained

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None of the above

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Solution

The correct option is C Suppose two plane waves, one longitudinal and the other transverse having same frequency and amplitude are traveling in a medium in opposite directions with the same speed, by superposition of these waves, stationary waves can be obtained
Node means a point at which medium particles do not displace from its mean position and antinode mean a point at which particles oscillate with maximum possible amplitude . Nodes and antinodes are obtained for both types of stationary waves , transverse and longitudinal . Hence , options (a) and (b) both are wrong . To obtain a stationary wave , two waves travelling in opposite directions , having same amplitude , same frequency are required . They must have same nature , means either both of the waves should be longitudinal or both of them should be transverse . Hence , option ( c) is correct

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