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Question

Assertion :A triply ionized Be-atom has the same radius of 2nd orbit as that of ground state H-atom. Reason: The radius of an orbit is rn=r1×n2Z.

A
Statement is correct but Explanation is wrong.
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B
Statement is wrong but Explanation is correct.
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C
Both Statement and Explanation are correct and Explanation is the correct explanation for Statement.
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D
Both Statement and Explanation are correct but Explanation is not the correct explanation for Statement.
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Solution

The correct option is C Both Statement and Explanation are correct and Explanation is the correct explanation for Statement.
The radius of an orbit is given by the expression rn=r1×n2Z
For triply ionized atom of Be, Z=4andn=2.
The expression becomes r2Be3+=r1×224
For the ground state of hydrogen atom, Z=1,n=1
The expression for the radius becomes r1H=r1×121
Thus, A triply ionized Be-atom has the same radius of 2nd orbit as that of ground state H-atom.
Hence, both Statement and Explanation are correct and Explanation is the correct explanation for Statement.

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