The question of the privacy of celebrities is an interesting one.
Maybe, but this sentence is not interesting. You should change the end of it so that it says something different about that question of privacy.
Also, you can add brevity:
The privacy of celebrities is ...
Furthermore, it has also been observed on several occasions that many celebrities at the
fag end -- this might not be the best term to use because the word has a negative connotation.
... to witness pop-singers or actresses dressing inappropriately in public, ---- you have to mention actors and actresses, because if you only mention actresses dressing inappropriately it seems like you have different standards for men and women.
or for a politician to pass slanderous remarks against
his her adversary.
(Be careful! You wrote about 'her' dressing inappropriately and 'him' being a politician. Let's be gender neutral.
Hey, to have some well written sentences! If you want to add a new dimension to the essay, consider the perspective of the fans. Should I infringe on the celebrity's privacy, or should I hold myself to a higher standard of respectfulness?
:-)