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Question

When methyl group is in axial position in methyl cyclohexane, the molecule has:

A
one Gauche interaction
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B
two Gauche interaction
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C
no Gauche interaction
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D
three Gauche interaction
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Solution

The correct option is B two Gauche interaction
There is a gauche interaction between the axial methyl group and C-3. This is absent in the conformation where methyl is equatorial. This gauche interaction is an example of [van der waals strain] is what makes the axial conformer higher in energy.
There is actually a second gauche interaction if you look along C-1 to C-6 . This gauche interaction is with C-5.
The methyl group interacting with the other ‘axial’ hydrogens, at C-3 and C-5. These are called “diaxial interactions” since they are steric interactions between axial substituents.

1132818_1206877_ans_64ece1ba833748f092ae865043e2dea8.png

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