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  • 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 is as given below: Region A: V > E

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 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.

 

Answers (1)

Total E = V + K --- (1)

          K = E - V ---(2)

          V = E - K -----(3)

1. Region A: V > E

As V>E

Kinetic energy will be negative according to equation (2)

So, this case is not possible

 

2. Region B: V < E

If V<E

Then the value of kinetic energy through equation 2 will be positive.

Hence, this case is possible

 

3.Region C: K > E

In this case, through equation 3, the value of V will become negative.

Hence, this case is not possible.

 

4.Region D: V > K

This case is possible; hence, potential energy value can be greater than the value of kinetic energy according to the situation.

Posted by

infoexpert24

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