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Q.

F-x and corresponding U-x graphs are as shown in figures. Three points A,B and C in F-x graph may be corresponding to P, Q and R in the U-x graph. Match the following columns and mark the correct option
from the codes given below.

Question Image

Column I

(A)     A

(B)     B

(C)    C

Column II

(p)    P

(q)    Q

(r )   R

(s)    None

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a

A  B  C

p  r  q

b

A  B  C

p   s   r

c

A  B  C

q    r  s

d

A  B  C

 r  s  p

answer is A.

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Detailed Solution

A is the point of stable equilibrium, so potential energy is minimum, i.e. at R. Similarly, point C is the unstable
equilibrium position, where potential energy should be maximum, i.e. at P. At point  B force is negative . Since F = - dUdx and dUdx is negative at Q , point B cannot match with point Q .
Hence,    Ar,Bs,Cp

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