A particle of mass m is located in a one dimensional potential field U(x)=U₀(1- a x) ; U ₀ and a are constants. Which of the following statement/s is/are correct?

Options

1. AThe particle will execute Simple Harmonic Motion for small displacements.
2. BThe stable equilibrium condition is x=0
3. CThe time period of small oscillations is 2 a m U₀
4. DThe angular frequency for small oscillations is =a U₀ m