IB Physics SL C.4.2 Nodes & antinodes

Practise locating nodes and antinodes, comparing phase, and sketching linked displacement-time graphs from standing-wave diagrams.

Exam points

use the standing-wave diagram and end conditions to place nodes and antinodes at the correct positions
use the diagram to decide whether two points are in phase or `pi` out of phase in adjacent loops
sketch a second displacement-time graph with the correct phase shift and smaller or larger amplitude

[Maximum number: 2]

(a)

The solid line represents the standing wave at time t and the dotted line represents the standing wave at an instant later. The dot is the equilibrium position of a particle P in the pipe. The up arrow indicates displacements to the right and the down arrow displacements to the left.

On the diagram, draw

[ 2 ]

(i)

a dot to indicate the approximate position of P at time t,

[ 1 ]

(ii)

an arrow to indicate the velocity of P at time t.

[ 1 ]

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C.4.2—Nodes and antinodes question 1

Question (a)

Question (i)

Question (ii)