• # question_answer DIRECTIONS (Qs. 54): Each of these questions contains two statements: Statements -1 (Assertion) and Statement -2 (Reason). Choose the correct answer (ONLY ONE option correct) from the following. Statement 1: A nucleus at rest splits into two nuclear parts having radii in the ratio$1:2$. Their velocities will be in the ratio $8:1$. Statement 2: The radius of a nucleus is proportional to the cube root of its mass number. A)  Statement-1 is false, Statement - 2 is true.B)  Statement-1 is false, Statement - 2 is true. Statement-2 is a correct explanation for Statement-1.C)  Statement-1 is true, Statement -2 is true; Statement -2 is not a correct explanation for Statement -1D)  Statement-1 is true, Statement-2 is false

$^{a}{{\mu }_{d}}=\sqrt{6},\,\,{{\,}^{a}}{{\mu }_{\ell }}=\sqrt{3},$ $^{\ell }{{\mu }_{d}}=?;\,\,{{\,}^{a}}{{\mu }_{d}}{{\times }^{d}}{{\mu }_{\ell }}{{\times }^{\ell }}{{\mu }_{a}}=1$ $\sqrt{6}{{\times }^{d}}{{\mu }_{\ell }}\times \frac{1}{\sqrt{3}}=1$ $^{d}{{\mu }_{\ell }}=\frac{\sqrt{3}}{\sqrt{6}}=\frac{1}{\sqrt{2}};{{\,}^{\ell }}{{\mu }_{d}}=\sqrt{2}$ If C be the critical angle, then $Sin\,\,C=\frac{1}{\mu }=\frac{1}{\sqrt{2}}$ $C={{45}^{o}}$. As angle of incidence$<45{}^\circ$, it will not be internally reflected. So statement 1 is false statement 2 is true.