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

PhysicsW.E.P.MiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

A particle is placed at the origin and a force $F = k x$ is acting on it (where $k$ is a positive constant). If $U (0) = 0$ , the graph of $U (x)$ versus $x$ will be: (where $U$ is the potential energy function)

Options:

Answer:

Solution:

From the equation, $F = - \frac{d U}{d x}$

$\int_{0}^{U (x)} d U = - \int_{0}^{x} F d x = - \int_{0}^{x} (K x) d x$

$∴ U (x) = - \frac{k x^{2}}{2}$

as $U (0) = 0$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:W.E.P.Subtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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