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JEE Main 20253 AprilMorning Shift
Exam
JEE Main
Year
2025
Date
3 April
Shift
Morning Shift
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2025 · 3 April · Morning Shift · Physics · Dual Nature of Matter

The radiation pressure exerted by a 450 W light source on a...

The radiation pressure exerted by a 450 W light source on a perfectly reflecting surface placed at 2 m away from it, is :

Options

  1. A1.5×10−81.5 \times 10^{-8} Pascals
  2. B0
  3. C6×10−86 \times 10^{-8} Pascals
  4. D3×10−83 \times 10^{-8} Pascals

Correct answer

C. 6×10−86 \times 10^{-8} Pascals

Step-by-step solution

Prad=2ICP_{\mathrm{rad}}=\frac{2 I}{\mathrm{C}}Where I=\mathrm{I}= intensity at surfaceC=\mathrm{C}= Speed of lightI= Power  Area =4504πr2=4504π×4=45016πPrad=2×45016π×3×108=1508π×108\begin{aligned}& I=\frac{\text{ Power }}{\text{ Area }}=\frac{450}{4 \pi \mathrm{r}^2} \\ & =\frac{450}{4 \pi \times 4}=\frac{450}{16 \pi} \\ & P_{\mathrm{rad}}=\frac{2 \times 450}{16 \pi \times 3 \times 10^8}=\frac{150}{8 \pi \times 10^8}\end{aligned}=5.97 \times 10^{-8} \approx 6 \times 10^{-8}$ Pascals
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