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Structure Of Atom

Question
CBSEENCH11005272

Calculate the radius of Bohr's fifth orbit for hydrogen atom.

Solution

  We space know comma space straight r subscript straight n space equals space 0.529 space straight Å space cross times space straight n squared
Here space straight n space equals space 5
therefore space space space space space straight r subscript 5 space equals space 0.529 space straight Å space cross times space 5 squared space equals space 0.529 space cross times space 0.25 space straight Å
space space space space space space space space space space space space equals space 13.225 straight Å space equals space 13.225 space cross times space 10 to the power of negative 1 end exponent space nm
space space space space space space space space space space space space equals space 1.325 space nm space space space space open square brackets because space 1 straight Å space equals space 10 to the power of negative 1 end exponent nm close square brackets