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

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The correct Answer is:

D

Radius for `m^(th)` orbit
`R_(m) = (r_(0)m^(2))/Z`
For `F_(m) , m = 5`
` :. " "R_(m) =(r_(0)5^(2))/100 rArr nr_(0)=(r_(0))/4`
`rArr n = 1/4 ` .

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