Physics Waves DUHS 2023
PMDC Verified Question 47 of 125
In standing waves, the distance between two consecutive nodes or antinodes is:
A
\( 2\lambda \)
B
\( \lambda/2 \)
C
\( \lambda/4 \)
D
\( \lambda \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: \( \lambda/2 \)
Concept:

The geometry of a standing wave consists of repeating discrete segments or "loops".

Solution:

  • A full wavelength (\( \lambda \)) must contain exactly two identical loops to complete a full cycle (one "up" loop and one "down" loop).


  • The boundaries of a single loop are nodes. The center of a single loop is an antinode.


  • Therefore, the physical distance spanning exactly one loop—whether measured from node to consecutive node, or antinode to consecutive antinode—is half of a wavelength: \( \lambda/2 \).


Why other options are incorrect:

\( \lambda/4 \) is the shortest distance between a node and an adjacent antinode. \( \lambda \) is the distance of two full loops.

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