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Question

Which energy state of the triply ionized beryllium (Be3+) has the same electron orbital radius as that of the ground state of hydrogen?

A
n = 1
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B
n = 2
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C
n = 3
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D
n = 4
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Solution

The correct option is B n = 2
For an atom of atomic number Z, the radius of the nth orbit is given by rn=Kn2Z where K is a constant
For the ground state of hydrogen, Z=1, n=1 and for Be3+, Z=4
By the given condition, n21Z1=n22Z2
11=n224
n2=2
Hence, the correct choice is (b).

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