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(C) Ice is less dense than water due to an open crystal structure formed by $H$-bonding.The basicity of $1^{\circ}$ amines is higher than $3^{\circ}$

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$(A, B, D)$

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(C) Ice is less dense than water due to an open crystal structure formed by $H$-bonding.The basicity of $1^{\circ}$ amines is higher than $3^{\circ}$ amines in aqueous solutions because the conjugate acid formed after protonation $(R-NH_3^+)$ is stabilized by $H$-bonding with $H_2O$ molecules (solvation). In tertiary amines,this stabilization is significantly less due to steric hindrance.The dimerisation of acetic acid in benzene occurs due to intermolecular $H$-bonding,forming a cyclic dimer.Formic acid is more acidic than acetic acid primarily due to the electron-donating inductive effect ($+I$ effect) of the methyl group in acetic acid,which destabilizes the carboxylate anion. This is not a phenomenon primarily attributed to $H$-bonding.Therefore,the phenomena involving $H$-bonding are $(A)$,$(B)$,and $(D)$.Hence,the correct option is $(A, B, D)$.

Hydrogen bonding plays a central role in the following phenomena:
$(A)$ Ice floats in water.
$(B)$ Higher Lewis basicity of primary amines than tertiary amines in aqueous solutions.
$(C)$ Formic acid is more acidic than acetic acid.
$(D)$ Dimerisation of acetic acid in benzene.

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Hydrogen bonding plays a central role in the following phenomena:$(A)$ Ice floats in water.$(B)$ Higher Lewis basicity of primary amines than tertiary amines in aqueous solutions.$(C)$ Formic acid is more acidic than acetic acid.$(D)$ Dimerisation of acetic acid in benzene.