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Q5.3: NCERT Physics - Part 1 WORK, ENERGY AND POWER 5.3 Solution: Given in Fig. 5.11 are examples of some potential energy…

Given in Fig. 5.11 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.

Step-by-Step Verified Solution

**Answer:** (a) Cannot be found where V > E. Minimum total energy = minimum of V(x). (b) Same principle applies. (c) Same principle applies. (d) Same principle applies. **Step-by-Step Explanation:** For a particle with total energy E, the particle can only exist in regions where kinetic energy K = E - V(x) � 0, i.e., where V(x) � E. Regions where V(x) > E are forbidden (particle cannot be found there). The minimum total energy the particle must have is the minimum value of the potential energy function V(x).

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