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Standard IX

Chemistry

Properties of Alpha, Beta and Gamma Radiations

Ψ2psi, the wa...

Question

$Ψ^{2} (p s i)$ , the wave function represents the probability of finding the electron. The electron is likely to be found:

inside the nucleus

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far from the nucleus

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near the nucleus

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none of the above

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Solution

The correct option is C near the nucleus

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Similar questions

Q. For an electron in a hydrogen atom, the wave function

Ψ

is proportional to exp, where

a_{0}

is the Bohrs radius. What is the ratio of the probability of finding the electron at the nucleus to the probability of finding it at

a_{0}

Ψ_{1 s} = [\frac{1}{\sqrt{π a_{o}^{3}}}] e^{- r / a_{0}}

Above relation is wave function of hydrogen atom in ground state (

r =

distance of electron from nucleus and

a_{0} = 0.529 \times 10^{- 8} c m

). For

1 s

orbital of hydrogen, the maximum probability of finding an electron is at

r =

Question 03

The probability density plots of 1s and 2s orbital are given in figure.

The density of dots in region represents the probability density of finding electrons in the region. On the basis of above diagram which of the following statements is incorrect ?

(a) 1s and 2s orbitals are spherical in shape

(b) The probability of finding electron is maximum near the nucleus

(d) The probability density of electrons for 2s orbital decreases uniformly as distance from the nucleus increases

Q. Assertion: The plots of the probability density and the radial probability function versus distance

r

from the nucleus for any particular orbital are not identical.

Reason: Probability density is

ψ^{2}

whereas radial probability function represents the probability of finding electrons in a shell of thickness

d r

Q. The wave function for the

1 s

orbital of a hydrogen atom is given by:

Ψ_{1 s} = \frac{π}{\sqrt{2}} e^{(\frac{- r}{a_{0}})}

where,

a_{0}

= Radius of first Bohr's orbit

r

= Distance from the nucleus (probability of finding the electron varies with respect to it)

What will be the ratio of probabilities of finding the electron at the nucleus to the first Bohr's orbit at

r = a_{0}

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Ψ2(psi), the wave function represents the probability of finding the electron. The electron is likely to be found:

The correct option is C near the nucleus

$Ψ^{2} (p s i)$ , the wave function represents the probability of finding the electron. The electron is likely to be found: