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If the atom(100)Fm^(257) follows the Boh...

If the atom`(_100)Fm^(257)` follows the Bohr model the radius of `_(100)Fm^(257)` is `n` time the Bohr radius , then find `n` .

A

`100`

B

`200`

C

`4`

D

`1/4`

Text Solution

Verified by Experts

The correct Answer is:
D
`100=2+8+18+32+40 (n=1)(n=2) (n=3)(n=4)(n=5)`
`r_(n) =0.53xxn=0.53xxn^(2)/zÅ=0.53xx(25)/(100)`
`Rightarrow 0.53xxn=0.53xx1/4Rightarrown=1/4(therefore radius =0.53Å)`
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