When Z is doubled in an atom,which of the fol | vedclass

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(C) According to Bohr's theory,the energy of an electron in a state is given by $E_n = -13.6 	imes \frac{Z^2}{n^2} \ 	ext{eV}$,which implies $E

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Velocity of electron in an orbit is doubled

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(C) According to Bohr's theory,the energy of an electron in a state is given by $E_n = -13.6 	imes \frac{Z^2}{n^2} \ 	ext{eV}$,which implies $E \propto Z^2$. If $Z$ is doubled,$E$ becomes $4$ times the original value.
The radius of an orbit is given by $r_n = 0.529 	imes \frac{n^2}{Z} \ \mathring{A}$,which implies $r \propto \frac{1}{Z}$. If $Z$ is doubled,$r$ becomes half of the original value.
The velocity of an electron in an orbit is given by $v_n = 2.18 	imes 10^6 	imes \frac{Z}{n} \ 	ext{m/s}$,which implies $v \propto Z$. If $Z$ is doubled,$v$ becomes $2$ times the original value.
Therefore,the statement that the velocity of the electron in an orbit is doubled is consistent with Bohr's theory.

When $Z$ is doubled in an atom,which of the following statements are consistent with Bohr's theory?

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