when disc is rotating, it is rotati ng with constant angular speed ( though not given , but you can reasonably assume so)
this means = constant (why constant , you may ask....but a little thinking will reveal why it is so....heard of RPM of long playing (LPs) records...or RPM of engine...)
Now at any distance r...linear speed = .r ...
Now accleration is v^2/r which is same as ^2r ..since is constant (and v is not..) acceleration is proprtional to r...hence the given answer is right...