Would you expect benzaldehyde to be more reactive or less reactive in nucleophilic addition reactions than propanal? Justify your answer.
Benzaldehyde is less reactive in nucleophilic addition reactions than propanal due to the presence of a resonance-stabilized benzene ring attached to its carbonyl group.
In benzaldehyde, the carbonyl carbon is less electrophilic because of resonance interaction between the carbonyl group and the aromatic ring:
\[ \text{Ph-CHO} \leftrightarrow \text{Ph-C}^{\delta+}\text{=O}^{\delta-} \]
This delocalization reduces the partial positive charge on the carbonyl carbon, making it less susceptible to nucleophilic attack.
In contrast, propanal (\( \text{CH}_3\text{CH}_2\text{CHO} \)) has no such resonance stabilization. The electron-withdrawing nature of the carbonyl group is unopposed, so the carbonyl carbon remains strongly electrophilic and readily undergoes nucleophilic addition.
Benzaldehyde: Reactivity reduced due to resonance with benzene ring.
Propanal: More reactive as no resonance stabilization exists.
A student is given one compound among the following compounds that gives positive test with Tollen's reagent. The compound is: 
Observe the following reaction and same reaction is carried out with the following compound: 
X and Y can be differentiated by:

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?