Question

the most probable radius (in pm) for finding the electron in He+ is
(a) 0.0
(b) 52.9
(c) 26.5
(d) 105.8

can you explain with the reason..
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Answer 1

Answer:

26.5

Explanation:

Most probable radius =  a0/Z  

where a0=52.9 pm. For helium ion, Z−2  

rmp=52.92=26.45 pm

Hope helps you mate!

Answer 2

Answer:

The most probable radius of He⁺ ion  for finding the electron is equal to 26.5pm.

Therefore, the option (c) is correct.

Explanation:

The most probable radius of an atom is the distance where is the maximum probability of an electron to be present. It is also the radius of atom or ion.

The formula used to find the most probable radius is:

$r=\frac{n^2}{Z}a_{o}$

For helium ion, n = 1, Z = 2 and a₀ = 52.9pm

He⁺ = 1s¹ is a hydrogen like ion.

where a₀ is Bohr's radius of an atom.

$r=\frac{(1)^2}{2}(52.9)$

$r=26.5pm$

Therefore, the most probable radius of helium ion is 26.5pm.