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Q.

One end of a light spring of spring constnat k is fixed to a wall and the other end is tied to a block placed on a smooth horizontal surface.
In a displacement, the work done by the spring is 12kx2. The possible cases are
a) the spring was initially compressed by a distance x and was finally in its natural length
b) it was initially streched by a distance x and finally was in its natural length
c) it was initially in its natural length and finally in a compressed position
d) it was initially in its natural length and finally in a stretched position.

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a

b, c are correct 
 

b

a, d are correct 
 

c

b, d are correct 
 

d

a, b are correct 
 

answer is A.

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Detailed Solution

Spring's stored elastic potential energy is equal to 12kx2, where x represents the spring's compression or extension from its normal length. In this configuration, the spring can exert force equal to kx on the block that is attached to it.

Hence the correct answer is a,b are correct.

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