A particle is placed at the origin and a force 𝐹 = 𝑘𝑥 is acting on it (where 𝑘 is positive constant). If 𝑈(0) =
0, the graph of 𝑈(𝑥) versus 𝑥 will be (where 𝑈 is the potential energy function)

Question: A particle is placed at the origin and a force 𝐹 = 𝑘𝑥 is acting on it (where 𝑘 is positive constant). If 𝑈(0) = 0, the graph of 𝑈(𝑥) versus 𝑥 will be (where 𝑈 is the potential energy function)

(A)

(B)

(C)

(D)

Answer: Option (A)

Solution:

A particle is placed at the origin and a force 𝐹 = 𝑘𝑥 is acting on it (where 𝑘 is positive constant). If 𝑈(0) =
0, the graph of 𝑈(𝑥) versus 𝑥 will be (where 𝑈 is the potential energy function)
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