Springs Aand B are identical except that A is stiffer than B. In which spring more work is done if(a) both are stretched by same amount ? (b) both are stretched by the same force ?

Explanation

To solve the problem, we need to analyze the work done on two identical springs, A and B, where spring A is stiffer than spring B. We will consider two scenarios: (a) both springs are stretched by the same amount, and (b) both springs are stretched by the same force.

### Step-by-Step Solution:

**(a) Both springs are stretched by the same amount:**

1. **Understand the spring constant:**
- The stiffness of a spring is represented by its spring constant (k). Since spring A is stiffer than spring B, we have \( k_A > k_B \).
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