Q.36 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 > E
State with reason in each case whether a particle can be found in the given region or not.
We know that
Total energy, E = PE + KE
E = V + K ...(I)
For region A Given, V > E. From Eq. (i)
K = E - V
as V > E E - V < 0
Hence, K < 0, this is not possible.
For region B Given, V < E E — V > 0
This is possible because total energy can be greater than PE
For region C Given, K > E K - E > 0
from Eq. (I) PE = V = E - K < 0
This is possible: because PE can be negative.
For region D Given, V > K
This is possible because for a system PE (V) may be greater than KE (K).
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