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  • Assume that protons and neutrons have equal masses. Mass of a nucleon is 

Assume that protons and neutrons have equal masses. Mass of a nucleon is 1.6\times 10^{-27}kg and radius of nucleus is 1.5\times 10^{-15}A^{1/3}m The approximate ratio of the nuclear density and water density is n\times 10^{13}. The value of n is

Option: 1

11


Option: 2

__


Option: 3

__


Option: 4

__


Answers (1)

best_answer

\begin{aligned} & \rho_{\text {Nuckeus }}=\frac{A(\mathrm{~m})}{\frac{4}{3} \pi \mathrm{R}^3} \Rightarrow \\ & \rho_{\mathrm{N}}=\frac{3}{4 \pi} \frac{\mathrm{Am}}{\left(1.5 \times 10^{-15} \mathrm{~A}^{\frac{1}{3}}\right)^3} \end{aligned}

\begin{aligned} & \frac{\rho_{\mathrm{N}}}{\rho_{\mathrm{W}}}=\frac{3}{4 \pi} \frac{(1.6) \times 10^{-27}}{(1.5)^3 \times 10^{-45} \times 10^3} \\ & \frac{\rho_{\mathrm{N}}}{\rho_{\mathrm{W}}}=11 \times 10^{13} \end{aligned}

 

Posted by

Ajit Kumar Dubey

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