Atomic StructureHard

Question

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

Options

A.Energy of a state is doubled
B.Radius of an orbit is doubled.
C.Velocity of electron in an orbit is doubled.
D.Energy of a state is halved

Solution

En ∝ Z2       ∴    Z doubled ⇒ En becomes four times.
Rn ∝ 1/Z    ∴    Z doubled  ⇒ Rn becomes half.
vn ∝ Z        ∴    Z doubled ⇒ vn becomes two times.

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