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Q.

 A toy gun uses a spring of force constant K. Before being triggered in the upward direction, the spring is compressed by a distance x. If the mass of the shot is m, on being triggered, it will go up to a maximum height of 

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a

Kx2mg

b

x2Kmg

c

Kx22mg

d

K2x2mg

answer is C.

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Detailed Solution

 According to the law of conservation of energy, elastic potential energy stored in the spring = gravitational potential energy acquired by shot 

12kx2=mgh or h=kx22mg

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