Infinite springs with force constants k,2k, 4k and 8k … respectively are connected in series. What will be the effective force constant of springs, when `k=10N//m`

Explanation

To find the effective force constant of an infinite series of springs with force constants \( k, 2k, 4k, 8k, \ldots \), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Force Constants**: The force constants of the springs are given as \( k, 2k, 4k, 8k, \ldots \). For our case, \( k = 10 \, \text{N/m} \).

2. **Write the Expression for Effective Spring Constant**: When springs are connected in series, the effective spring constant \( k_{\text{effective}} \) can be calculated using the formula:
\[
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