For a hydrogen-like ion of atomic number

CHEMISTRY · Single correct · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

Z

, which expression gives the radius

r_{n}

of the nth orbit? (a)

r_{n}=\dfrac{4\pi\varepsilon_{0}\hbar^{2}}{me^{2}}\,n^{2}

(b)

r_{n}=\dfrac{4\pi\varepsilon_{0}\hbar^{2}}{me^{2}}\,\dfrac{n}{Z}

(c)

r_{n}=\dfrac{4\pi\varepsilon_{0}\hbar^{2}}{me^{2}}\,\dfrac{n^{2}}{Z}

(d)

r_{n}=\dfrac{4\pi\varepsilon_{0}\hbar^{2}}{me^{2}}\,\dfrac{n^{2}}{Z^{2}}