Physics Waves ETEA 2023
PMDC Verified Question 40 of 125
The distance between adjacent node and anti-node is equal to:
A
\( \lambda \)
B
\( \frac{\lambda}{2} \)
C
\( 2\lambda \)
D
\( \frac{\lambda}{4} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: \( \frac{\lambda}{4} \)
Concept:

Standing waves alternate between points of zero movement (nodes) and points of maximum movement (antinodes).

Solution:

  • A full wavelength (\( \lambda \)) contains two complete structural loops.


  • The distance spanning a single complete loop (from node to consecutive node) is \( \lambda/2 \).


  • An antinode is located at the exact physical center of a loop.


  • Therefore, the distance from the edge of the loop (a node) to its center (an antinode) is half of \( \lambda/2 \), which equals \( \lambda/4 \).


Why other options are incorrect:

\( \lambda/2 \) represents the distance between two nodes or two antinodes. \( \lambda \) represents the length of two complete loops.

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