Which of the following is correct option for free expansion of an ideal gas under adiabatic condition ?

Question

( A ) $q = 0, \Delta T \neq 0,$ w $= 0$
( B ) $q = 0, \Delta T = 0,$ w $= 0$
( C ) $ q \neq 0, \Delta T = 0,$ w $=0$
( D ) $q = 0, \Delta < 0,$ w $\neq 0$