Class 11PhysicsWork, Energy, Power and CollisionConservative and Non-Conservative forces and Potential Energy
MediumGiven below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$.
Assertion $A$: In a central force field,the work done is independent of the path chosen.
Reason $R$: Every force encountered in mechanics does not have an associated potential energy.
In the light of the above statements,choose the most appropriate answer from the options given below:
Assertion $A$: In a central force field,the work done is independent of the path chosen.
Reason $R$: Every force encountered in mechanics does not have an associated potential energy.
In the light of the above statements,choose the most appropriate answer from the options given below:
- A$A$ is true but $R$ is false
- BBoth $A$ and $R$ are true but $R$ is $\text{NOT}$ the correct explanation of $A$
- CBoth $A$ and $R$ are true and $R$ is the correct explanation of $A$
- D$A$ is false but $R$ is true
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The force acting on a body moving along the $x-$axis varies with the position of the particle as shown in the figure. The body is in stable equilibrium at
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View SolutionThe work done by the force $\vec{F} = x^2 \hat{i} + y^2 \hat{j}$ around the closed path $OABC$ shown in the figure is:
Given below are two statements:
Statement $I$: An object moves from position $r_{1}$ to position $r_{2}$ under a conservative force field $\vec{F}$. The work done by the force is $W = -\int_{r_{1}}^{r_{2}} \vec{F} \cdot d\vec{r}$.
Statement $II$: Any object moving from one location to another location can follow an infinite number of paths. Therefore,the amount of work done by the object changes with the path it follows for a conservative force.
In the light of the above statements,choose the correct answer from the options given below:
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Statement $II$: Any object moving from one location to another location can follow an infinite number of paths. Therefore,the amount of work done by the object changes with the path it follows for a conservative force.
In the light of the above statements,choose the correct answer from the options given below:
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