(I) Relation between rotational kinetic energy and Angular momentum is (L^(2))/(2I) (II) Rotational work done is F theta Which one is correct ?

(I) Relation between rotational kinetic energy and Angular momentum is

1.	(I) Relation between rotational kinetic energy and Angular momentum is (L^(2))/(2I) (II) Rotational work done is F theta Which one is correct ?
Answer» Solution :We know that, ROTATIONAL KINETIC Energy `E_(kr)=(1)/(2) I OMEGA^(2)=(1)/(2) I omega xx omega=(1)/(2). L omega=(1)/(2) (L^(2))/(I)` `E_(kr)=(L^(2))/(2I), L^(2)=2IE_(kr)` `L=sqrt(2IE_(kr))= sqrt(21). sqrt(E_(kr))` GRAPH of `sqrt(E_(kr))` and L : The shape of the graph is a straight LINE. (1) The slope of the graph gives the value of moment of inertial (1) We know that the slope gives the value of moment of Inertia. The line A has higher slope and hence more moment of Inertia.