The electron in the first Bohr orbit of singly-ionised helium (He , ) moves with speed

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

Problem

The electron in the first Bohr orbit of singly-ionised helium (He+^{+}, Z=2Z=2) moves with speed vHev_{\text{He}}. The corresponding speed in the first Bohr orbit of hydrogen is vHv_{\text{H}}. Which one of the following relations is correct? (a) vHe=vHv_{\text{He}} = v_{\text{H}} (b) vHe=vH2v_{\text{He}} = \dfrac{v_{\text{H}}}{2} (c) vHe=2 vHv_{\text{He}} = 2\,v_{\text{H}} (d) vHe=4 vHv_{\text{He}} = 4\,v_{\text{H}}

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