wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The potential energy of a particle is given by, U=2x33x2. (in SI unit) The nature of equilibrium at x=0 & x=1 are

A
Stable, Unstable
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Unstable, Stable
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Unstable, Stable
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Stable, Unstable
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B Unstable, Stable
It is given that, potential energy
U=2x33x2
dUdx=(6x26x)

Under equilibrium,
6x(1x)=0
(x=0) & (x=1)

d2Udx2=ddx(6x26x)=12x6

d2Udx2|at x = 0=6<0 (Unstable equilibrium)
d2Udx2|x=1=6>0(Stable equilibrium)

Hence, option B is the correct answer.

flag
Suggest Corrections
thumbs-up
9
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Conservative Forces and Potential Energy
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon