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Standard XII

Physics

Transmission of Wave

If X, F a...

Question

If $X$ , $F$ and $U$ respectively denotes displacement, force acting on a particle and potential energy of a particle, then:

U = F

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F = + \frac{d U}{d x}

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F = - \frac{d U}{d x}

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F = \frac{1}{x} (\frac{d U}{d x})

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Solution

The correct option is C $F = - \frac{d U}{d x}$
For a conservative field, the force is the gradient of the potential energy. i.e $\to F = - \to \nabla U$

where $\nabla = \frac{d}{d x} + \frac{d}{d y} + \frac{d}{d z}$

In one dimensional along x-axis , $F = F_{x} = - \frac{d U}{d x}$

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Similar questions

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If X, F and U respectively denotes displacement, force acting on a particle and potential energy of a particle, then:

The correct option is C F=−dUdxFor a conservative field, the force is the gradient of the potential energy. i.e →F=−→∇U where ∇=ddx+ddy+ddzIn one dimensional along x-axis , F=Fx=−dUdx

If $X$ , $F$ and $U$ respectively denotes displacement, force acting on a particle and potential energy of a particle, then:

The correct option is C $F = - \frac{d U}{d x}$
For a conservative field, the force is the gradient of the potential energy. i.e $\to F = - \to \nabla U$

where $\nabla = \frac{d}{d x} + \frac{d}{d y} + \frac{d}{d z}$

In one dimensional along x-axis , $F = F_{x} = - \frac{d U}{d x}$