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Q.

A particle of mass m is moving in a field. The potential energy vs  position (x ) graph is given as shown in the diagram. The dotted horizontal line represents the total mechanical energy of the particle. Find in which region the particle will not exist?

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a

1

b

2

c

3

d

4

answer is A.

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Detailed Solution

We know that K + U = E. And we also know that kinetic energy of a particle can not be negative. In region 1U > E , so kinetic energy will be negative. This is a practical impossibility.
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A particle of mass m is moving in a field. The potential energy vs  position (x ) graph is given as shown in the diagram. The dotted horizontal line represents the total mechanical energy of the particle. Find in which region the particle will not exist?