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11th

Chemistry

Structure of Atom

Quantum Numbers

The ratio of radii of first...

CHEMISTRY

MEDIUM

The ratio of radii of first orbits of H, He

+

and Li

2+

is:

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ANSWER

The radii of the first orbits of hydrogen-like ion are given by

r=

Zm

e

k

e

e

2

N

2

since everything except 2 is constant,

r=

Z

K

(k=

m

e

k

e

e

2

n

2

)

Then the ratio of 3 radii for n=1,2 and 3 are

r

1

:r

2

:r

3

=

1

1

:

2

1

:

3

1

=6:3:2

Hence, the correct option is B

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