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Q.

The radius of the Bohr orbit in the ground state of hydrogen atom is 0.5A0. The radius of the orbit of the electron in the third excited state of He+ will be

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a

8A0

b

0.5A0

c

0.25A0

d

4A0

answer is B.

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Detailed Solution

rn=0.53A0n2Z;∴r1r2=n1n22Z2Z1∴0.5A0r2=14221;∴r2=4A0

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The radius of the Bohr orbit in the ground state of hydrogen atom is 0.5A0. The radius of the orbit of the electron in the third excited state of He+ will be