Q.

Assertion A: In case of bullet fired from a free gun, the ratio of kinetic energy of gun and bullet is equal to ratio of mass of bullet and gun

Reason R: In the above firing, total momentum of gun+bullet system remains conserved.

1 A is false but R is true  
2 A is true but R is false  
3 Both A and R are true and R is the correct explanation of A  
4 Both A and R are true but R is NOT the correct explanation of A  

Ans.

(3)

0=P→gun+P→bullet

or  Pgun=Pbullet

KgunKbullet=Pgun2/2mgunPbullet2/2mbullet=mbulletmgun