Consider a one-dimensional motion of a particle with total energy E. There are four regions A, B, C and D in which the relation between potential energy V, kinetic energy (K) and total energy E is as given below:
Region A: V > E
Region B: V < E
Region C: K > E
Region D: V > K
State with reason in each case whether a particle can be found in the given region or not.
(Note: this problem is based the concept that potential energy can be negative also and E = V+K)
Region A: No, it is not possible
∵ 
and 
∴ 
which is not possible
Region B: Yes, it is possible.
∵ 
and 
∴ 
which is true
Region C: Yes, it is possible.
∵ 
and 
∴ 
which is possible
Region D: Yes, it is possible.
∵ 
which is possible
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