Match the statements in Column I with those in Column II. One or more matching is possible 
ColumnI 
Column II 

(A) 
Solid sphere rolling with slipping on a rough horizontal surface 
(p) 
Total kinetic energy is conserved 

(B) 
Solid sphere in pure rolling on a rough horizontal surface and no other force is acting 
(q) 
Angular momentum about the CM is conserved 

(C) 
Solid sphere in pure rolling on a smooth horizontal surface 
(r) 
Angular momentum about a contact point on the contact surface is conserved 

(D) 
Solid sphere in pure rolling on a rough incline 
(s) 
Momentum is conserved 



(t) 
Total mechanical energy is conserved 

CODES : 


A 
B 
C 
D 



a) 
C 
a,b,c,d,e 
a,b,c,d,e 
e 



b) 
a,b,c 
d,e 
b,c,d 
d,e 



c) 
b,c 
d,e 
a,b 
c 



d) 
a 
b 
c 
d 


Match the statements in Column I with those in Column II. One or more matching is possible 
ColumnI 
Column II 

(A) 
Solid sphere rolling with slipping on a rough horizontal surface 
(p) 
Total kinetic energy is conserved 

(B) 
Solid sphere in pure rolling on a rough horizontal surface and no other force is acting 
(q) 
Angular momentum about the CM is conserved 

(C) 
Solid sphere in pure rolling on a smooth horizontal surface 
(r) 
Angular momentum about a contact point on the contact surface is conserved 

(D) 
Solid sphere in pure rolling on a rough incline 
(s) 
Momentum is conserved 



(t) 
Total mechanical energy is conserved 

CODES : 


A 
B 
C 
D 



a) 
C 
a,b,c,d,e 
a,b,c,d,e 
e 



b) 
a,b,c 
d,e 
b,c,d 
d,e 



c) 
b,c 
d,e 
a,b 
c 



d) 
a 
b 
c 
d 


(a)
a. when the sphere rolls on the rough surface, its angular momentum about contact point remains constant because torque of friction about this point is zero
b. Here no friction will on the sphere. So here everything will remain the same
c. here also no friction will act, so everything will remain the same
d. Here KE will increase. Potential energy will decrease but the total mechanical energy will remain constant. Angular momentum will not be conserved, because will provide the torque about contact point