Write chemical reactions involved in Cannizzaro Reaction of Methanal
The Cannizzaro reaction is a classic redox process where non-enolizable aldehydes, which lack an \(\alpha\)-hydrogen, are treated with a strong base (\(\text{NaOH}\)) to undergo disproportionation. This reaction results in the simultaneous formation of an alcohol and a carboxylate salt.
Consider the reaction with methanal (formaldehyde): \[ 2\text{HCHO} + \text{NaOH} \rightarrow \text{HCOO}^- \text{Na}^+ + \text{CH}_3\text{OH} \]
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 ___________.