Reaction `A to` Products follows first order kinetics while reaction `Bto` products follows second order kinetics. If both have same half-lives, then starting with the same initial concentrtion of A and B, compare their rates
after the lapse of one half-life

Explanation

To solve the problem, we need to compare the rates of two reactions, A and B, after one half-life has passed, given that A follows first-order kinetics and B follows second-order kinetics, and both have the same half-lives.

### Step-by-Step Solution:

1. **Understand the Half-Life of Each Reaction:**
- For a first-order reaction, the half-life (\(t_{1/2}\)) is given by:
\[
t_{1/2} = \frac{0.693}{k_A}
...