JEE MAIN - Physics (2025 - 3rd April Morning Shift - No. 19)
Explanation
First, the intensity $$I$$ at a distance $$r$$ from a point light source spreading its energy isotropically is given by
$$I = \frac{P}{4\pi r^2},$$
where
$$P = 450 \, \text{W}$$
$$r = 2 \, \text{m}.$$
So,
$$I = \frac{450}{4\pi (2)^2} = \frac{450}{16\pi} \approx \frac{450}{50.27} \approx 8.96 \, \text{W/m}^2.$$
For a perfectly reflecting surface, the radiation pressure $$p$$ is given by
$$p = \frac{2I}{c},$$
where $$c \approx 3 \times 10^8 \, \text{m/s}$$ is the speed of light.
Substituting the value of $$I$$:
$$p = \frac{2 \times 8.96}{3 \times 10^8} \approx \frac{17.92}{3 \times 10^8} \, \text{Pa}.$$
Calculating the final value:
$$p \approx 5.97 \times 10^{-8} \, \text{Pa},$$
which is approximately $$6 \times 10^{-8} \, \text{Pa}.$$
Thus, the correct answer is:
Option D: $$6 \times 10^{-8}$$ Pascals.
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