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According to Bohr's theory, the ratio of...

According to Bohr's theory, the ratio of electrostatic force of attraction acting on electron `3^(rd)` orbit of `He^(+)` ion and `2^(nd)` orbit of `Li^(2+)` ion is `((3)/(2))^(x)`. Then, the value of `x` is `:`

A

7

B

-6

C

6

D

-7

Text Solution

Verified by Experts

The correct Answer is:
4

Electrostatic force of attraction `Fprop (Z^(3))/(n^(4))`
`:. ((F_(n=3))_(He^(+)))/((F_(n=2))_(Li^(2+)))=(2^(3)//3^(4))/(3^(3)//2^(4))=((2)/(3))^(7)=((3)/(2))^(-7)" ":.x=-7" "F=(KZe^(2))/(R^(2))`
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