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JIPMER 2011
Exam
JIPMER
Year
2011
Subject
Physics
Chapter
Nuclear Physics

JIPMER 2011 · Physics · Nuclear Physics

If r_1 and r_2 are the radii of the atomic nuclei of mass numbers...

If r1andr2r_1 and r_2 are the radii of the atomic nuclei of mass numbers 64 and 125 respectively, then the ratio (r1/r2)\left(r_1 / r_2\right) is

Options

  1. A64125\frac{64}{125}
  2. B64125\sqrt{\frac{64}{125}}
  3. C54\frac{5}{4}
  4. D45\frac{4}{5}

Correct answer

D. 45\frac{4}{5}

Step-by-step solution

r=r0(A)1/3r=r_0(A)^{1 / 3} ∴r1r2=(A1A2)1/3=(64125)1/3\therefore \quad \frac{r_1}{r_2}=\left(\frac{A_1}{A_2}\right)^{1 / 3}=\left(\frac{64}{125}\right)^{1 / 3} =[(45)3]1/3=45=\left[\left(\frac{4}{5}\right)^3\right]^{1 / 3}=\frac{4}{5}
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