Question
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.

Answer

For region A : V > E ⇒ E = V + K ⇒ K = E - V V > E. So, K < 0 or KE is negative, Which is not possible. In region B : V < E ⇒ K= E - V ⇒ K > 0 This case is possible. Both energies are greater than zero. Region C : K > E ⇒ V = E - K ⇒ v < 0 PE is negative. This is laso possible because PE can be negative. Region D : V > K K = E - V This is also possible as PE for a system can be greater than KE.

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