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.

Explanation

To determine whether a particle can be found in each of the four regions (A, B, C, and D) based on the relationships between potential energy (U), kinetic energy (K), and total energy (E), we will analyze each region step by step.

### Step-by-Step Solution:

1. **Region A: U > E**
- Given that the potential energy (U) is greater than the total energy (E), we can express the kinetic energy (K) using the equation:
\[
E = K + U \implies K = E - U
...