Two progressive transverse waves given by `y_1 = 0.07 sin pi ( 12x - 500 t) and y_2 = 0.07 sin pi (12 x 500t)` travelling along a stretched string form nodes and antinodes. What is the displacement at the nodes.

Explanation

To solve the problem, we need to analyze the two given progressive transverse waves and determine the displacement at the nodes formed by their superposition.

### Step-by-Step Solution:

1. **Identify the Given Waves**:
The two waves are given as:
\[
y_1 = 0.07 \sin(\pi (12x - 500t))
...