Question

Question 6.3 Given in Fig. 6.11 are examples of some potential energy functions in one dimension. The total energy of the particle is indicated by a cross on the ordinate axis. In each case, specify the regions, if any, in which the particle cannot be found for the given energy. Also, indicate the minimum total energy the particle must have in each case. Think of simple physical contexts for which these potential energy shapes are relevant.

Chapter Work, Energy And Power Page 134

Answer 1

Hi------------

we know that

energy =kinetic energy +potential energy

particle only exit if potential energy is -ve or
we can say that where particle exist when kinetic energy is less than total energy.


in these fiqure
find out the where line become -ve ,because it is the diagram of potential energy.

so only
a<x<b
in fiqure 3
potential energy is -ve so here particle is exist.

in fiqure 4
-a/2<x<b/2
here is same conditions
hence
particle also exit here.

not any place particle is exit except above region which i explain .
hope it help.

Answer 2

Energy=kinetic energy + potential energy
partical only exit if potential energy is - ve
OR
we can say that where partical exit when kinetic energy is less than total energy.
..............in these figers....
find out the where line become _ve , because it is the diagram of potential energy.
..........SO............
a<x<b
...
in figure three
potential energy is -ve so here partical is exit.
..........in figure four......
-a/2<x<b/2
here is also same thing. or as condition
.................HENCE...................
partical also exit here .
not any place partical is exit except above region which I explain


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