| List- I (Layer of atmosphere) | List- II (Approximate height over earth's surface) | ||
| A. | F1-Layer | I. | 10 km |
| B. | D-Layer | II. | 170-190 km |
| C. | Troposphere | III. | 100 km |
| D. | E-layer | IV. | 65-75 km |


For the circuit shown above, the equivalent gate is:
Let \( f : \mathbb{R} \to \mathbb{R} \) be a twice differentiable function such that \[ (\sin x \cos y)(f(2x + 2y) - f(2x - 2y)) = (\cos x \sin y)(f(2x + 2y) + f(2x - 2y)), \] for all \( x, y \in \mathbb{R}. \)
If \( f'(0) = \frac{1}{2} \), then the value of \( 24f''\left( \frac{5\pi}{3} \right) \) is: