A stationary wave is produced in a string of length of 1.25 meters. If three nodes and two antinodes are produced in the string, then the wavelength of the wave is

CONCEPT:

Standing Wave: 

It is a combination of two waves that move in the opposite direction with the same amplitude and frequency get superimposed and form nodes and antinodes.

Nodes (N): 

• The points where the amplitude is minimum are called nodes. 
• The distance between two successive nodes is λ/2.
• Nodes are at permanent rest.
• At nodes air pressure and density both are high.

Antinodes (A):

• The points of maximum amplitudes are called antinodes.
• The distance between two successive nodes is λ/2.
• At nodes air pressure and density both are low.
• The distance between a node (N) and adjoining antinode (A) is λ/4. 

Explanation:

Given - Length of the string (l) = 1.25 meters​

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It is given that three nodes and two antinodes are produced in the string and as we know that the distance between two successive nodes is λ/2 and the distance between a node (N) and adjoining antinode (A) is λ/4. 

Therefore the wavelength of the wave is 1.25 meters.