Which of the following is not a correct state | vedclass

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(C) The work done by a conservative force is defined as $W_c = -\Delta U$, which is the negative change in potential energy. Thus, option $A$ is corre

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Work done by non-conservative force in a closed path is equal to zero

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(C) The work done by a conservative force is defined as $W_c = -\Delta U$, which is the negative change in potential energy. Thus, option $A$ is correct.Total energy of a system is conserved only if the system is isolated (no external work or heat transfer). In general, the total energy of a system is not always conserved if external forces act on it. Thus, option $B$ is a general statement that is often considered incorrect in the context of non-isolated systems.Non-conservative forces (like friction) dissipate energy. The work done by a non-conservative force in a closed path is not zero. Thus, option $C$ is definitely an incorrect statement.In stable equilibrium, the potential energy $U$ is at a local minimum, meaning $dU/dx = 0$ and $d^2U/dx^2 > 0$. Thus, option $D$ is correct.Comparing $B$ and $C$, $C$ is a fundamental property of non-conservative forces (they are path-dependent), making it explicitly false. Therefore, $C$ is the intended incorrect statement.

Column-$I$	Column-$II$
$(1)$ Conservative force	$(a)$ Frictional force
$(2)$ Non-conservative force	$(b)$ Gravitational force
	$(c)$ Internal force

Which of the following is not a correct statement?

Similar Questions

Given below is the plot of a potential energy function $U(x)$ for a system,in which a particle is in one-dimensional motion,while a conservative force $F(x)$ acts on it. Suppose that $E_{\text{mech}} = 8 \, J$,the incorrect statement for this system is:

Match Column-$I$ with Column-$II$.

Column-$I$ Column-$II$

$(1)$ Conservative force $(a)$ Frictional force

$(2)$ Non-conservative force $(b)$ Gravitational force

$(c)$ Internal force

The potential energy graph of a particle is given. Find the corresponding force graph.

The potential energy of a certain particle is given by $U = \frac{1}{2}\,(x^2 - z^2)$. The force on it is:

Give examples of a conservative force and a non-conservative force.

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