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Q.

The potential energy function for a particle executing linear SHM is given by where 'k' is the force constant of the oscillator. For k = 0.5Nm–1, the graph of v(x) versus 'x' is shownn in figure. A particel of total energy 'E' turns back when it reaches x = ±xm . If V and k indicate the potential energy and kinetic energy, respectively of the particle at x = +xm, then which of the following is correct?

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a

V = 0, K = E

b

V = E, K = 0

c

V < E, K = 0

d

V = 0, K < E

answer is B.

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Detailed Solution

At extreme position , K = 0E = K + U ; V = E
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The potential energy function for a particle executing linear SHM is given by where 'k' is the force constant of the oscillator. For k = 0.5Nm–1, the graph of v(x) versus 'x' is shownn in figure. A particel of total energy 'E' turns back when it reaches x = ±xm . If V and k indicate the potential energy and kinetic energy, respectively of the particle at x = +xm, then which of the following is correct?