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NEET 2011
Exam
NEET
Year
2011
Subject
Physics
Chapter
Nuclear Physics

NEET 2011 · Physics · Nuclear Physics

The power obtained in a reactor using U^ 235 disintegration is 1000...

The power obtained in a reactor using U235\mathrm{U}^{235} disintegration is 1000 kW1000 \mathrm{~kW}. The mass decay of U235\mathrm{U}^{235} per hour is

Options

  1. A20μg20 \mu \mathrm{g}
  2. B40μg40 \mu \mathrm{g}
  3. C1μg1 \mu g
  4. D10μg10 \mu \mathrm{g}

Correct answer

B. 40μg40 \mu \mathrm{g}

Step-by-step solution

Let assume power P=1000 WP=1000 \mathrm{~W} Energy per hour =1000×3600 J=1000 \times 3600 \mathrm{~J} Energy per fission =200MeV=200×1.6×10−13 J∴=200 \mathrm{MeV}=200 \times 1.6 \times 10^{-13} \mathrm{~J}\therefore Number of fission per hour n=1000×3600200×1.6×10−13n=\frac{1000 \times 3600}{200 \times 1.6 \times 10^{-13}}Number of mole per hour =nN∴ Mass per hour =nN×235\begin{aligned} & \text{Number of mole per hour }=\frac{n}{N} \\ & \therefore \text{ Mass per hour }=\frac{n}{N} \times 235 \end{aligned}=1000×3600×235200×1.6×10−13×6.02×1023=43.9×10−6 g\begin{aligned} & =\frac{1000 \times 3600 \times 235}{200 \times 1.6 \times 10^{-13} \times 6.02 \times 10^{23}} \\ & =43.9 \times 10^{-6} \mathrm{~g} \end{aligned}$ThisThis43.9 \times 10^{-6} \mathrm{~g}$ is nearest value of 40 micro gram so option (b) is correct.
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