Potential energy function $U (r)$ corresponding to the central force $F = K / r^{2}$ would be

- K / r

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

- 2 K / r

No worries! We‘ve got your back. Try BYJU‘S free classes today!

- r / K

No worries! We‘ve got your back. Try BYJU‘S free classes today!

N o n e o f t h e s e

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $- K / r$
We know that as per definition of potential energy ( Only defined for conservative froces) ,
$U = \int - F d r = - \frac{k}{r}$

Suggest Corrections

Similar questions

If a particle of mass m is moving in a horizontal circle of radius r with a centripetal force $(- \frac{k}{r^{2}})$ , the total energy is

A particle of mass m is moving in a horizontal circle of radius r under a centripetal force equal to $\frac{- K}{r^{2}}$ , where K is a constant. The total energy of the particle is

Q. It is possible that the Newtonian theory of gravitation may need to be modified at short-range. Let, then the potential energy between two masses M

_{1}

and

M_{2}

be given by

U (r) = - \frac{G M_{1} M_{2}}{r}

(1 - Ke

^{r / r_{o}}

) where K is constant. For short distances, defined by

r << r_{o}

, the force F between M

_{1}

and M

_{2}

will be:

A particle of mass m is moving in a horizontal circle of radius r with a centripetal force where k = 1 $F = - \frac{k}{r^{2}}^r$ unit. The total energy of the particle is

Q. An

α -

particle experiences the following force due to a nucleus

(k > 0)

\begin{matrix} \to F = \frac{k}{r^{2}} & i f & r > R = \frac{- K}{R^{3}} \to r & i f & r < R \end{matrix}

The correct potential energy diagram for the above force is

Join BYJU'S Learning Program

Potential energy function U(r) corresponding to the central force F=K/r2 would be

The correct option is A −K/rWe know that as per definition of potential energy ( Only defined for conservative froces) ,U=∫−Fdr=−kr

Potential energy function $U (r)$ corresponding to the central force $F = K / r^{2}$ would be

The correct option is A $- K / r$
We know that as per definition of potential energy ( Only defined for conservative froces) ,
$U = \int - F d r = - \frac{k}{r}$