Given figure shows a massless platform kept on a light elastic spring attached to ground from one end .
A small particle of mass 0.2 kg is dropped on the paltform from a height of 0.26 m , which causes a compression of 0.01 m in the spring . Calculate the height from which the particle must be dropped in order to cause a compressin of 0.05 m .

Explanation

To solve the problem, we need to apply the principle of conservation of energy. The potential energy lost by the particle when it is dropped from a height will be equal to the potential energy gained by the spring when it is compressed.

### Step-by-Step Solution:

1. **Identify Given Values:**
- Mass of the particle, \( m = 0.2 \, \text{kg} \)
- Initial height from which the particle is dropped, \( h = 0.26 \, \text{m} \)
- Compression of the spring when dropped from height \( h \), \( x = 0.01 \, \text{m} \)
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