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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

4

B

`1//4`

C

100

D

200

Text Solution

Verified by Experts

The correct Answer is:
B
`(r_(n))=(n^(2)/Z)(0.53 overset(@)(A))=(m times 0.53) overset(@)(A)`
n = 5 for `""_(100)Fm^(257)` and Z = 100
`therefore m=(5)^(2)/100=1/4`
So, `r_(n)=(1/4 times 0.53)overset(@)(A)`
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