Q.

An object is projected with kinetic energy K from a point A at an angle 60° with the horizontal. The ratio of the difference in kinetic energies at points B and C to that at point A (see figure), in the absence of air friction, is:               [2026]

1 1 : 4  
2 2 : 3  
3 3 : 4  
4 1 : 2  

Ans.

(3)

(KE)A=K=12mu2

(KE)B=K4=12m(u2)2=K4    (uB=ucos60°=u2)

(KE)C=K

Ratio=K-K/4K

          =3K/4K=34