The given compound is butanone \(( C_2H_5 - \overset{O}{\overset{||}{C}} - CH_3 )\). When treated with hydrogen \(\left( H_2 \right)\) in the presence of a nickel \(\left( Ni \right)\) catalyst and heat \(\left( \Delta \right)\), the reaction involves the reduction of the carbonyl group \(\left( C=O \right)\) into a hydroxyl group, resulting in the formation of a secondary alcohol. The reaction proceeds as follows: \[ CH_3 - \overset{O}{\overset{||}{C}} - CH_2 - CH_3 \quad \xrightarrow{H_2/Ni, \ \Delta} \quad CH_3 - CH(OH) - CH_2 - CH_3 \] Thus, the correct product is a secondary alcohol, which is \( CH_3 - CH(OH) - CH_2 - CH_3 \).
The correct answer is (B).
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 ___________.