Nuclear Physics | Physics JEE previous year questions with Solutions

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Topic Question Set

Q 11 :

A nucleus disintegrates into two smaller parts, which have their velocities in the ratio 3 : 2. The ratio of their nuclear sizes will be ${(\frac{x}{3})}^{1 / 3}$ . The value of $' x'$ is ______. [2023]

0%

(2)

$\frac{v_{1}}{v_{2}} = \frac{3}{2}$

$m_{1} v_{1} = m_{2} v_{2} \Rightarrow \frac{m_{1}}{m_{2}} = \frac{2}{3}$

$Since nuclear mass density is constant$

$\frac{m_{1}}{\frac{4}{3} π r_{1}^{3}} = \frac{m_{2}}{\frac{4}{3} π r_{2}^{3}}$

${(\frac{r_{1}}{r_{2}})}^{3} = \frac{m_{1}}{m_{2}}$

$\frac{r_{1}}{r_{2}} = {(\frac{2}{3})}^{\frac{1}{3}} So, x = 2$

Q 12 :

A nucleus disintegrates into two nuclear parts, in such a way that the ratio of their nuclear sizes is $1 : 2^{1 / 3}$ . Their respective speeds have a ratio of $n : 1$ . The value of $n$ is ______. [2023]

0%

(2)

$\frac{v_{1}}{v_{2}} = \frac{m_{2}}{m_{1}} = \frac{A_{2}}{A_{1}} = \frac{2}{1}$

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