In a stationary wave along a string the strain is

Options

A. zero at nodes
B. maximum at nodes
C. minimum at nodes
D. constant every where

Answer

To solve the question about the strain in a stationary wave along a string, we need to understand the behavior of stationary waves and how strain is distributed along the string.

### Step-by-Step Solution:

1. **Understanding Stationary Waves**:
Stationary waves are formed by the interference of two waves traveling in opposite directions. They create points of no displacement called nodes and points of maximum displacement called antinodes.

**Hint**: Remember that stationary waves consist of nodes and antinodes due to the superposition of waves.

2. **Identifying Nodes and Antinodes**:
In a stationary wave, nodes are points where the string does not move (displacement is zero), while antinodes are points where the displacement is maximum.

**Hint**: Nodes are where the string remains still, while antinodes are where it oscillates the most.

3. **Understanding Strain**:
Strain is defined as the change in length per unit length. In the context of a stationary wave, strain is related to the forces acting on the string.

**Hint**: Recall that strain is a measure of deformation in materials due to applied forces.

4. **Analyzing Forces at Nodes**:
At the nodes, the forces acting on the string are balanced, meaning there is no net displacement. However, the tension in the string creates a situation where the strain is actually maximum due to the opposing forces acting on either side of the node.

**Hint**: Consider how forces interact at points of no movement (nodes) and how they affect strain.

5. **Conclusion**:
Therefore, in a stationary wave along a string, the strain is maximum at the nodes.

**Final Answer**: The strain in a stationary wave along a string is maximum at nodes.

### Summary:
- Strain is maximum at nodes due to the opposing forces acting on them.
- The correct option is that the strain is maximum at nodes.