In stationary wave, the strain is

Options

A. maximum at nodes
B. maximum at antinodes
C. constant throughout
D. none of the above

Answer

To solve the question regarding the strain in stationary waves, we can follow these steps:

### Step 1: Understand the Concept of Stationary Waves
Stationary waves, also known as standing waves, are formed when two waves of the same frequency and amplitude travel in opposite directions and interfere with each other. This results in a wave pattern that appears to be stationary.

**Hint:** Remember that stationary waves are the result of interference between two waves traveling in opposite directions.

### Step 2: Identify Nodes and Antinodes
In a stationary wave, there are points called nodes and antinodes. Nodes are points where the wave has minimum amplitude (the wave does not move), while antinodes are points where the wave has maximum amplitude (the wave moves the most).

**Hint:** Nodes are points of no motion, while antinodes are points of maximum motion.

### Step 3: Relate Strain to Force
Strain in a wave is related to the force acting on the medium. The strain is defined as the deformation per unit length of the medium. In stationary waves, the strain is influenced by the amplitude of the wave.

**Hint:** Strain is directly related to the force acting on the medium; maximum force leads to maximum strain.

### Step 4: Analyze Strain at Nodes and Antinodes
At the nodes, the forces from the two interfering waves cancel each other out, leading to no movement and therefore no strain. Conversely, at the antinodes, the forces are at their maximum, leading to maximum strain.

**Hint:** Maximum strain occurs where the forces are greatest, which is at the antinodes, while minimum strain occurs at the nodes.

### Step 5: Conclusion
From the analysis, we can conclude that in stationary waves, the strain is maximum at the antinodes and minimum at the nodes.

**Final Answer:** In stationary waves, the strain is maximum at the antinodes and minimum at the nodes.