My mom always thinks that I'm doing something wrong in the social websites ! While I'm not ! What should I do
Give her access to your accounts, so that she can check up on you, and see for herself that you are not posting anything inappropriate.
Maybe leave the computer on one day so she can go on and check that ur clean.
Let your Mom look at your computer's History so she can see what sites you have been to in the last day, week, etc.,.
Sit down with her while you are logged in and show her around your profile on the sites that way she can see what you have been up to.