How Many Sigma and Pi Bonds Are in Ethyne?

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Homework Statement


In the hybradization of ethyne molecule, how many σ and ∏ bonds are being formed?


The Attempt at a Solution


Since, there is a triple bond between the carbon atoms, it should form 2 ∏ bonds and 1 σ bond.
Relatively there will be 2 other σ bonds between Carbon-Hydrogen.

So, all together, there are supposed to be 3 σ and 2 ∏ bonds.
Want to know if the above theory is right?
 
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Yes. Perfect. The only problem that happens in multiple choice questions is that students might forget to mention that the triple bond also contributes a sigma bond.