In the molecule represented by the condensed structural formula CH ₃ CH = C = CHC CC ( CH ₃)₃ , the number of sp ^3 , sp ^2 and sp hybridised carbon atoms respectively are :

Step-by-step solution

Let us expand the given condensed formula to identify the bonding environment of each carbon atom: C ^1 H ₃- C ^2 H = C ^3= C ^4 H - C ^5 C ^6- C ^7( C ^8 H ₃)( C ^9 H ₃)( C ¹⁰ H ₃) Now, we determine the hybridisation of each carbon based on the number of bonds it forms: - Carbon atoms forming only single bonds (0 bonds) are sp ^3 hybridised. These are C ^1 , C ^7 , C ^8 , C ^9 , and C ¹⁰ . Total = 5. - Carbon atoms forming one double bond (1 bond) are sp ^2 hybridised. These are C ^2 and C ^4 . Total = 2. - Carbon