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Physics · KINETIC THEORY

हिन्दी

Natural uranium hexafluoride is a mixture of \( ^{235}\text{UF}_6 \) and \( ^{238}\text{UF}_6 \). Given that the atomic mass of Fluorine is \( 19\text{ u} \), the percentage difference between the average speeds of \( ^{235}\text{UF}_6 \) and \( ^{238}\text{UF}_6 \) at any common temperature is approximately:

  1. A
    \( 0.86\% \)
  2. B
    \( 0.44\% \)
  3. C
    \( 1.28\% \)
  4. D
    \( 0.22\% \)
View Answer & Solution

Correct answer · Option B

\( 0.44\% \)

Explanation

Mass of \( ^{235}\text{UF}_6 = 235 + 6(19) = 349\text{ u} \); Mass of \( ^{238}\text{UF}_6 = 238 + 6(19) = 352\text{ u} \). Ratio \( v_{349}/v_{352} = (352/349)^{1/2} \approx 1.0043 \). Percentage difference \( \frac{\Delta v}{v} \times 100\% \approx 0.44\% \).
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