The relation between the acceleration a and displacement x of a particle executing SHM is `a=-(p//q)y` , where p and q are constant quantities. What will be the time period of oscillation of the particle ? If p is doubled and q is halved, then find the value of new time period of oscillation.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the given relation
The relation provided is:
\[ a = -\frac{p}{q} y \]
where \( a \) is the acceleration, \( y \) is the displacement, and \( p \) and \( q \) are constants.

### Step 2: Relate the given equation to SHM
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