Dual Nature Of Light Question 178
Question: Consider a universe in which the $ \pi $ -meson orbits around the nucleus instead of electron. Assuming a Bohr model for a $ \pi $ -meson of mass $ {m_{\pi }} $ and of the same charge as the electron is in a circular orbit of radius r about the nucleus with an orbital angular momentum $ \frac{h}{2\pi } $ . If the radius of a nucleus of atomic number Z is given by $ R=1.6\times {{10}^{-15}}{{Z}^{1/3}}m $ . The total number of elements in this universe that can exist is given as ?N?. Find the value of $ [ \frac{N-1}{12} ] $ . [Given $ \frac{{\varepsilon_{0}}h^{2}}{\pi m_{e}e^{2}}=0.53{\AA};\frac{{m_{\pi }}}{m_{c}}=265; $ neglect any shielding effect for the heavier atoms and assume non relativistic physics to be applicable and take $ {{5}^{1/4}}=1.5 $ ]
Solution:
Answer: 3.00
BETA
