C.O.M

A non uniform cylinder of mass m , length l and radius r having its C.O.M at a distance (l)/(4) from centre and lying on axis of cylinder . The cylinder is kept in a liquid of unifrom density rho . The moment of inertia of the rod about C.O.M is I. The angular acceleration of point A relative to point B just after the rod is released from position shown in figure is .

Two particles of different masses projected from a tower with same speed horizontally but in opposite directioin. One particle of mass 3kg follows a path y=-(x^(2))/20 and C.O.M. of the system also follows a path y=-5/4x^(2) in the same direction as 3kg particle. Then find unknonw mass (in kg)

For the reaction A + 2B hArr 2C at equilibrium [C] = 1.4 M, [A]_(o) = 1 M, [B]_(o) = 2 M, [C]_(o) = 3 M . The value of K_(c) is

In a ABC, it is given that AB=AC and the bisectors of /_B and C intersect at O. If M is a point on BO produced,prove that /_MOC=/_ABC

A B C D is a trapezium in which A B C D . The diagonals A C and B D intersect at O . Prove that (i) A O B C O D (ii) If O A=6c m , O C=8c m , Find: (A r e a ( A O B))/(A r e a ( C O D)) (b) (A r e a ( A O D))/(A r e a ( C O D))

Bonding in metal carbonyls is represented by the end structures. overset(M-C-=O" "harr" "M=C=O)(I" "II) The contribution of I and II to the real structure depends upon the extent of pi- back bonding. Both sigma donation and pi- back bonding are synergitc. The filled orbitals CO overlap with vacant metal d orbitals which is called sigma donation. The filled metal d orbitals overlap with pi antibondig moleculat orbital of CO. which is called pi- back bonding . Which one of the following has the highest C-O bond length?