Answer:
no it is not correct dimensionally
Explanation:
f=1/l√T/m
taking square on both side in order to remove square root
f²=T/l²m
f=ma =kgm/sec²
therefore
kg.m/sec²=sec/m².kg
kg.m=sec*sec²/m².kg
kg.m=sec³/m².kg
kg=sec³/m³.kg
so the equation is incorrect dimensionally