Home
Class 11
PHYSICS
The potential energy U of a body u wil m...

The potential energy U of a body u wil mass moving ill une dimensional conservative force field is given by `U = x^2 - 4x +3`. All units are in Sl. For situation mark out the correct statements(s) 

A

The body will perform simple harmonic motion about x = 2 units

B

The body will perform oscillatory motion but not simple harmonic motion.

C

The body will perform simple harmonic motion with time period `sqrt(2)pis`.

D

If speed of the body at equilibrium position is 4m/s, then the amplitude of oscillation would be `2sqrt(2)m`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II)(LEVEL - II)(LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos
  • SIMPLE HARMONIC MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II)(LEVEL - II)(MATRIX MATCHING TYPE QUESTIONS)|3 Videos
  • SIMPLE HARMONIC MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II)(LEVEL - II)(STRAIGHT OBJECTIVE TYPE QUESTIONS)|20 Videos
  • ROTATIONAL MECHANICS

    AAKASH SERIES|Exercise Questions for Descriptive Answers|20 Videos
  • SURFACE TENSION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS )|8 Videos

Similar Questions

Explore conceptually related problems

Potential energy of a body of mass 1 kg free to move along X - axis is given by U(x) = (x^(2)/2 - x) J . If the total mechanical energy of the body is 2 J , then the maximum speed of the body is (Assume only conservative force acts on the body )

The potential energy of the moving particle along x-axis is given by U=20+5sin (4pix) where U is in joule and x is in metre under the action of conservative force.

The potential energy of a particle oscillating on x-axis is given as U = 20 + (x-2)^(2) where .U. is in joules and .x. is in metres. Its mean position is