Question

In a stationary wave along a string the strain is.
A. Zero at the antinodes.
B. Maximum at the antinodes.
C. Zero at the nodes.
D. Maximum at the nodes

Answer 1

Hint: The stationary is also called a standing wave.
When the two waves are traveling in the opposite direction they meet in antiphase hence they cancel out each other.
When the two waves meet in phase here the displacements are added together here we get the large amplitude.

Complete step by step solution:
When the amplitude of the wave is zero then it is called a node. When the amplitude is maximum it may be positive or negative then it is called an antinode.
the places like the open boundary and the point where they have a maximum amplitude the antinodes are formed.
The standing waves of electromagnetic waves have the same complementarity as the electric and magnetic fields. The displacement nodes are alternating between the +ve and negative maximum hence it has the slope known as the antinode. Here the displacement is constant which is zero.
The half-wavelength is equal to the distance between the two adjacent nodes or two adjacent antinodes.
When constructive interferences occur then it generates the antinodes.
So, the correct answer is (D).

Note:
Resonances can occur between two parallel surfaces. If the spacing is equal to an odd number of half-wavelengths.
Like these conditions, the pressure node is there which is maximum at the surface. One of many nodes in the region like that maxima and minima is known as the standing waves.
The strain is maximum at the nodes because of the two opposite forces.