Reaction of 1,1-diphenylethanol on Montmorillonite K10 under microwave radiation
Is my answer correct?


No! Your "answer" is just a random collection of facts and does not address the question.

Actually, Ben Norris has already kindly provided all the necessary information in his comment: 


Montmorillonite K10 is a solid, acidic catalyst.
Microwave irradiation means that you are applying heat to the reaction.




Under the given conditions, 1,1-diphenylethanol (1) is protonated, eliminates water (which might be driven out since heat is applied) and yields 1,1-diphenylethene (2).

Given that you're still applying heat in the presence of an acidic catalyst, the reaction will not stop here.

Protonation of 2 again results in the known bisbenzylic cation, which will add to a second molecule of 1,1-diphenylethene in Markovnikov fashion.



The resulting intermediate is will undergo an intramolecular Friedel-Crafts alkylation which furnishes the indane derivative 3.