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Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.Conservative force & potential energyMedium2 minQB

PhysicsMediummultiple choice

Passage / Comprehension

Consider the potential energy given by $U (x) = \frac{x ^{4}}{4} - \frac{x ^{3}}{3} - 3 x^{2}$ , where the coefficients of the various powers of x have units such that U has units of joules.

If total energy is -6 J,

Options:(select one or more)

Answer:

A, D

Solution:

With E = -6 J: $U (- 2) = - \frac{16}{3} > - 6$ , so the left well is entirely above E - no turning points on the negative side (A correct, B wrong).

At x = 0, $U = 0 > - 6$ - forbidden (C wrong). At x = 3, $U = - \frac{63}{4} < - 6$ - allowed (D correct).

Ans. (A,D)

Stream:JEESubject:PhysicsTopic:W.E.P.Subtopic:Conservative force & potential energy

⏱ 2mℹ️ Source: QB

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