The ratio of Young's modulus of two springs of same area of cross section and same length is 5 : 4 Equal masses are suspended from these springs. On stretching and then releasing, the springs start oscillating. Calculate the ratio of time period of oscillation.

Explanation

To solve the problem, we need to find the ratio of the time periods of oscillation of two springs with different Young's moduli but the same area of cross-section and length. Let's break it down step by step.

### Step 1: Understanding Young's Modulus
Young's modulus (Y) is defined as the ratio of stress to strain. For springs, the spring constant (k) is related to Young's modulus by the formula:
\[ k = \frac{YA}{L} \]
where:
- \( Y \) is Young's modulus,
- \( A \) is the cross-sectional area,
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