Step 1: Read the structure
The figure shows \((CH_3)_3C-CH(OH)-CH_3\), which is 3,3-dimethylbutan-2-ol, treated with \(H_2SO_4\). The alcohol is secondary and has a quaternary neighbouring carbon.
Step 2: Form the carbocation
Protonation and loss of water give a secondary carbocation at C2. It is next to the \(C(CH_3)_3\) carbon.
Step 3: Methyl shift
A methyl group moves from the neighbouring carbon to the cationic carbon. This gives a tertiary cation \((CH_3)_2C^+-CH(CH_3)_2\), which is more stable.
Step 4: Lose a proton
Loss of a proton from the carbon next to the cation follows Zaitsev's rule and gives the more substituted alkene \((CH_3)_2C=C(CH_3)_2\), which is 2,3-dimethyl-2-butene.
Step 5: Other options
3,3-dimethyl-1-butene would be the direct non-rearranged, less substituted product, so it is minor.
Final Answer:
The major product is 2,3-dimethyl-2-butene.
\[ \boxed{\text{(A)}\ \text{2,3-dimethyl-2-butene}} \]