A small body of mass m slides without friction from the top of a hemisphere of radius r. At what height will the body be detached from the surface of hemisphere?

Hope this might help... :)

You even did components of vector wrong in this ans however its ans is r=h.

The answer provided by Jaya Gupta is correct except that the angle 'theta' marked in second diagram should be taken from horizontal as all other calculations are done like that only. I think it's by mistake. Otherwise it's the 100% correct answer.

This answer is not useful. Theta is considered qrong