A particle of mass 4 gm. Lies in a potential field given by `V = 200x^(2) + 150` ergs/gm. Deduce the frequency of vibration.

Explanation

To deduce the frequency of vibration for a particle of mass 4 gm in a given potential field \( V = 200x^2 + 150 \) ergs/gm, we can follow these steps:

### Step 1: Write the expression for potential energy
The potential energy \( U \) of the particle can be expressed as:
\[ U = m \cdot V \]
where \( m \) is the mass of the particle and \( V \) is the potential energy function. Given that \( m = 4 \) gm and \( V = 200x^2 + 150 \), we can substitute:
...