A particle free to move along the `x-`axis has potential energy given by `U(x) = k[1 - e^(-x^(2))]` for `-oo le x le + oo`, where `k` is a positive constant of appropriate dimensions. Then select the incorrect option

A particle free to move along the (x - axis) has potential energy given by U(x)= k[1 - exp(-x^2)] for -o o le x le + o o , where (k) is a positive constant of appropriate dimensions. Then.

A particle free to move along the (x - axis) hsd potential energy given by U(x)= k[1 - exp(-x^2)] for -o o le x le + o o , where (k) is a positive constant of appropriate dimensions. Then.

A particle free to move along the (x - axis) hsd potential energy given by U(x)= k[1 - exp(-x^2)] for -o o le x le + o o , where (k) is a positive constant of appropriate dimensions. Then.

A particle free to move along the (x - axis) hsd potential energy given by U(x)= k[1 - exp(-x^2)] for -o o le x le + o o , where (k) is a positive constant of appropriate dimensions. Then.

A particle free to move along the X- axis has potential energy given by U(X)=k[1-exp(-X^(2))] of appropriate dimensions. Then-

A partical of mass m is moving along the x-axis under the potential V (x) =(kx^2)/2+lamda Where k and x are positive constants of appropriate dimensions . The particle is slightly displaced from its equilibrium position . The particle oscillates with the the angular frequency (omega) given by