Home
Class 11
PHYSICS
If potential energy due to attractive fo...

If potential energy due to attractive force in circular path of radius r is `U=-k/(2r^2)`, then its total energy = …... .

Text Solution

Verified by Experts

The correct Answer is:
zero
`U=-k/(2r^2)rArr(dU)/(dr)=+k/r^3`
`:.F=k/r^3`
But for circular motion, centipetal force
`F=(mv^2)/r`
`:.(mv^2)/r=k/r^3`
`:. 1/2mv^2=k/(2r^2)`
`:. K=k/(2r^2)`
`:.` Total energy `E=U+K=-k/(2r^2)+k/(2r^2)=0`
Promotional Banner

Topper's Solved these Questions

  • OBJECTIVE QUESTIONS AS PER NEW PAPER STYLE

    KUMAR PRAKASHAN|Exercise CHAPTER - 6 (Are the following statements True or False ? )|10 Videos

  • OBJECTIVE QUESTIONS AS PER NEW PAPER STYLE

    KUMAR PRAKASHAN|Exercise CHAPTER - 6 (Match Type Questions)|4 Videos

  • OBJECTIVE QUESTIONS AS PER NEW PAPER STYLE

    KUMAR PRAKASHAN|Exercise CHAPTER - 5 (Match Type Questions)|4 Videos

  • MOTION IN A STRAIGHT LINE

    KUMAR PRAKASHAN|Exercise QUESTION PAPER|11 Videos

  • OSCILLATIONS

    KUMAR PRAKASHAN|Exercise QUESTION PAPER (SECTION - D)|1 Videos

Similar Questions

Explore conceptually related problems

When water rises in a capillary tube of radius r to height h, then its potential energy U_(1) if capillary tube of radius 2r is dipped in same water then potential energy of water is U_(2) then U_(1):U_(2) will be

The centripetal force on a particle moving in a uniform circular motion on a horizontal circle of radius r is (-sigma)/(r^(2)) , then find the mechanical energy of this particle .

If the kinetic energy of an electron in a hydrogen is (e^(2))/(8 pi epsi_(0)r) then its potential energy is.....

A satellite of mass m revolves in a circular orbit of radius R a round a planet of mass M. Its total energy E is :-

The magnitude of gravitational potential energy at a distance r from the centre of earth is U, then show the weight at this point in the form of U.

The total energy of an electron in the first excited state of H atom is - 3.4 eV, then its potential energy in this state is ...eV.

Two satellite A and B , ratio of masses 3 : 1 are in circular orbits of radii r and 4 r . Then ratio of total mechanical energy of A to B is