Consider a one-dimensional motion of a particle with total energy E. There are four regions A, B, C and D is which the relation between potential energy U, kinetic energy (K) and total energy E is as given below
RegionA:`UgtE` Region B:`UltE`
Region C:`KltE` Region D:`UgtE`
State with reason in each case whether a particle can be found in the given region or not.

Options

A. Region A
B. Region B
C. Region C
D. Region D

Answer

A

Explanation

Total energy of the particle = Kinetic energy + Potential energy
E = K+ V or K=E-V
Since kinetic energy can never be negative. The particle cannot be found in the region where its kinetic energy would become negative In region A, V gt E
`therefore` K becomes negative in this region. Hence, the particle cannot be found in region A.