Electromagnetic Waves · NEET Preparation Physics

Light with an energy flux of 18 text{ W/cm}^2 falls on a non-reflecting surface at normal incidence. If the surface has an area of 20 text{ cm}^2, th…

Practice question from Electromagnetic Waves (NEET Preparation Physics), with the correct answer and a step-by-step solution.

hard · MCQ · Q-373373

Light with an energy flux of 18 W/cm218 \text{ W/cm}^2 falls on a non-reflecting surface at normal incidence. If the surface has an area of 20 cm220 \text{ cm}^2, the total momentum delivered to the surface during a span of 30 minutes is:

  1. A.1.08×10−3 kg m/s1.08 \times 10^{-3} \text{ kg m/s}
  2. B.3.24×10−3 kg m/s3.24 \times 10^{-3} \text{ kg m/s}
  3. C.6.48×10−3 kg m/s6.48 \times 10^{-3} \text{ kg m/s}Correct answer
  4. D.2.16×10−4 kg m/s2.16 \times 10^{-4} \text{ kg m/s}

Solution

Total energy received U=flux×Area×time=18×20×(30×60)=6.48×105 JU = \text{flux} \times \text{Area} \times \text{time} = 18 \times 20 \times (30 \times 60) = 6.48 \times 10^5 \text{ J}. For a completely absorbing surface, the momentum delivered is p=Uc=6.48×1053×108=2.16×10−3 kg m/sp = \frac{U}{c} = \frac{6.48 \times 10^5}{3 \times 10^8} = 2.16 \times 10^{-3} \text{ kg m/s}? Wait, let's recalculate: 18 W/cm2×20 cm2=360 W18 \text{ W/cm}^2 \times 20 \text{ cm}^2 = 360 \text{ W}. Time t=1800 st = 1800 \text{ s}. U=360×1800=6.48×105 JU = 360 \times 1800 = 6.48 \times 10^5 \text{ J}. p=U/c=6.48×105/3×108=2.16×10−3 kg m/sp = U/c = 6.48 \times 10^5 / 3 \times 10^8 = 2.16 \times 10^{-3} \text{ kg m/s}. Option D is correct.

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