A sodium acetate-acetic acid buffer effectively maintains a stable pH by neutralizing added acids or bases.
\[ CH_3COOH \rightleftharpoons CH_3COO^- + H^+ \] - When \( H^+ \) (acid) is introduced, it is consumed by the acetate ions \( (CH_3COO^-) \), which mitigates any decrease in pH.
- Conversely, when \( OH^- \) (base) is added, it reacts with the acetic acid \( (CH_3COOH) \), preventing an increase in pH.
Explain the construction of a spherical wavefront by using Huygens' principle.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.