AIIMS 2019 Physics Stefan-Boltzmann Law MCQ Question

To find the intensity of light on Earth from the Sun, we use the formula for intensity $I$ given by $I = \frac{P}{A}$, where $P$ is the power emitted by the Sun and $A$ is the surface area over which this power is distributed. The power $P$ can be calculated using the Stefan-Boltzmann law $P = 4\pi R^2 \sigma T^4$, where $R$ is the radius of the Sun, $\sigma$ is the Stefan-Boltzmann constant, and $T$ is the temperature of the Sun. After calculating the intensity at the distance of Earth, we find that option (A) 19.2×10¹⁶ W/m² is the correct value.

Options (B), (C), and (D) are incorrect as they do not accurately reflect the calculations based on the given parameters, indicating a misunderstanding of the relationship between the Sun's temperature, radius, and the distance to Earth in the context of light intensity.