Two particles x and y having same masses are suspended by two massless springs of spring constants `k_(1) = 4` N/m and `k_(2) = 9` N/m respectively. Find the ratio of amplitude of x and y if maximum velocites during oscillation are equal.

Explanation

To solve the problem, we need to find the ratio of the amplitudes of two oscillating masses (x and y) suspended by springs with different spring constants, given that their maximum velocities during oscillation are equal.

### Step-by-Step Solution:

1. **Identify the given values:**
- Mass of both particles (m) is the same.
- Spring constant for particle x, \( k_1 = 4 \, \text{N/m} \).
- Spring constant for particle y, \( k_2 = 9 \, \text{N/m} \).
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