Work, Power & Energy

Section: Physics
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Question : 5 of 22
 
Marks: +1, -0
In the List-I below, four different paths of a particle are given as functions of time. In these functions,α and β are positive constants of appropriate dimensions and αβ.In each case,the force acting on the particle is either zero or conservative. In List-II, five physical quantities of the particle are mentioned:
p
is the linear momentum
L
is the angular momentum about the origin, K is the kinetic energy,U is the potential energy and E is the total energy. Match each path in List-I with those quantities in List-II, which are conserved for that path.
List - IList - II
P.
r
(t)
=αt
i
+βt
j
1.
p
Q.
r
(t)
=αcosωt
i
+βsinωt
j
2.
L
R.
r
(t)
=α(cosωt
i
+sinωt
j
)
3. K
S.
r
(t)
=αt
i
+
β
2
t2
j
4. U
5. E

PQRS
A)1,2,3,4,52,52,3,4,55
B)1,2,3,4,53,52,3,4,52,5
C)2,3,451,2,42,5
D)1,2,3,52,52,3,4,52,5
[JEE Adv 2018 P2]
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