Question

Particle wid unit mass, have the potential V(x) given below. The angular frequency of small oscillations about the minimum of the potential is?

Answer 1

\[V(x) = a x^{2} + b/x^{2}\]

Answer 2

options are
a) \[\sqrt{8a}\]
b) \[\sqrt{8b}\]
c) \[\sqrt{8a/b }\]
d) \[\sqrt{8b/a}\]

Answer 3

what is the formula for frequency of a harmonic oscillator, whn potential is given?

Answer 4

I asked other few guys, they said \( v(x) = ax^2+ \frac b {x2} \) is not harmonic potential

Answer 5

\[ v(x) = ax^2+ \frac b {x^2} \]

Answer 6

not exactly harmonic but a simple oscillator, potential is given so my question is, what is angular frequency? @experimentX

Answer 7

oscillators have frequency ... i think the graph of potential should be like this

for harmonic oscillator

Answer 8

No, given potential graph is different.... potential cannt be -ve.. u r talking abt different potential

Answer 9

well ... i guess i can't help you right now then ... i can't remember what principle to apply

Answer 10

its can be solved by quantum mechanics ..

Answer 11

Schodinger's equation??

Answer 12

@kr7210 :
first of all , E=-dv/dx find E..
then find F=mE.
now write the equation in the form of F=kX(SHM EQUATION)... and find K.
and then find omega...

Answer 13

Hmm ..
I think you meant
\[ F = -kx = \frac{d}{dx} v(x)\]
?? right??

Answer 14

oh sorry yes F=-kX..right