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  4. Buckminster fullerene contains the following X number of six-and Y number of five member rings. What is the value of X and Y ?

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Q. Buckminster fullerene contains the following $X$ number of six-and $Y$ number of five member rings. What is the value of $X$ and $Y$ ?

TS EAMCET 2020

Solution:

Buckminister fullerene is a type of fullerene with formula $C_{60}$.
It has a cage like fused sings that resembles a soccer ball.
Buckminister fullerene contain even number of carbon atoms with $12$(twelve) five membered rings and $20$ six membered rings,
i.e. $(X)=20 \Rightarrow (Y)=12$