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CHXI02:STRUCTURE OF ATOM

307441 The quantum number not obtained from the Schrodinger’s wave equation is

1

n

2

1

3

m

4

s

CHXI02:STRUCTURE OF ATOM

307442 Which of the following statement concerning probability density $(Ψ^{2})$ and radial distribution function $(4 π r^{2} Ψ^{2})$ for a s-orbital of H-like species is correct?

1

Ψ^{2}

is minimum at nucleus but

4 π r^{2} Ψ^{2}

is maximum at nucleus.

2

Ψ^{2}

is maximum at nucleus but

4 π r^{2} Ψ^{2}

is minimum at nucleus.

3 Both

Ψ^{2}

and

4 π r^{2} Ψ^{2}

are maximum at nucleus.

4 Both

Ψ^{2}

and

4 π r^{2} Ψ^{2}

are minimum at nucleus.

Explanation:

$ψ = \frac{1}{\sqrt{π}} {(\frac{1}{a_{0}})}^{3 / 2} = e^{(- \frac{r}{a_{0}})}$
Hence, $ψ^{2}$ is maximum at $r = 0$ , but $4 π ρ^{2} ψ^{2}$ is minimum at $r = 0$ .

CHXI02:STRUCTURE OF ATOM

307443 Which of the following is not true for the quantum mechanical model of the atom?

1 Even though there is one electron in a H-atom, there are many atomic orbitals in the atom as many wave functions are possible as the solution of the wave equation.

2 All the information about the electron in an atom is stored in its orbital wave function

ψ

and quantum mechanics makes it possible to extract this information out of

ψ .

3 The probability of finding an electron at a point within an atom is proportional to the square of the orbital wave function i.e.,

| ψ |^{2}

at that point.

4

| ψ |^{2}

is known as the probability density and can never be positive.

Explanation:

$ψ$ may be – ve or + ve but $ψ^{2}$ is always positive.

CHXI02:STRUCTURE OF ATOM

307444 Wave mechanical model of the atom depends upon

1 De-Broglie concept of dual nature of electron

2 Heisenberg uncertainty principle

3 Schrodinger uncertainty principle

4 All of above

CHXI02:STRUCTURE OF ATOM

307445 Total number of electrons that can be accommodated in the sub-shell (l = 2) are

1

6

2

10

3

14

4

2

Explanation:

$l = 2$ is d - orbital which can accomdate 10 electrons

CHXI02:STRUCTURE OF ATOM

307441 The quantum number not obtained from the Schrodinger’s wave equation is

1

n

2

1

3

m

4

s

CHXI02:STRUCTURE OF ATOM

307442 Which of the following statement concerning probability density $(Ψ^{2})$ and radial distribution function $(4 π r^{2} Ψ^{2})$ for a s-orbital of H-like species is correct?

1

Ψ^{2}

is minimum at nucleus but

4 π r^{2} Ψ^{2}

is maximum at nucleus.

2

Ψ^{2}

is maximum at nucleus but

4 π r^{2} Ψ^{2}

is minimum at nucleus.

3 Both

Ψ^{2}

and

4 π r^{2} Ψ^{2}

are maximum at nucleus.

4 Both

Ψ^{2}

and

4 π r^{2} Ψ^{2}

are minimum at nucleus.

Explanation:

$ψ = \frac{1}{\sqrt{π}} {(\frac{1}{a_{0}})}^{3 / 2} = e^{(- \frac{r}{a_{0}})}$
Hence, $ψ^{2}$ is maximum at $r = 0$ , but $4 π ρ^{2} ψ^{2}$ is minimum at $r = 0$ .

CHXI02:STRUCTURE OF ATOM

307443 Which of the following is not true for the quantum mechanical model of the atom?

1 Even though there is one electron in a H-atom, there are many atomic orbitals in the atom as many wave functions are possible as the solution of the wave equation.

2 All the information about the electron in an atom is stored in its orbital wave function

ψ

and quantum mechanics makes it possible to extract this information out of

ψ .

3 The probability of finding an electron at a point within an atom is proportional to the square of the orbital wave function i.e.,

| ψ |^{2}

at that point.

4

| ψ |^{2}

is known as the probability density and can never be positive.

Explanation:

$ψ$ may be – ve or + ve but $ψ^{2}$ is always positive.

CHXI02:STRUCTURE OF ATOM

307444 Wave mechanical model of the atom depends upon

1 De-Broglie concept of dual nature of electron

2 Heisenberg uncertainty principle

3 Schrodinger uncertainty principle

4 All of above

CHXI02:STRUCTURE OF ATOM

307445 Total number of electrons that can be accommodated in the sub-shell (l = 2) are

1

6

2

10

3

14

4

2

Explanation:

$l = 2$ is d - orbital which can accomdate 10 electrons

CHXI02:STRUCTURE OF ATOM

307441 The quantum number not obtained from the Schrodinger’s wave equation is

1

n

2

1

3

m

4

s

CHXI02:STRUCTURE OF ATOM

307442 Which of the following statement concerning probability density $(Ψ^{2})$ and radial distribution function $(4 π r^{2} Ψ^{2})$ for a s-orbital of H-like species is correct?

1

Ψ^{2}

is minimum at nucleus but

4 π r^{2} Ψ^{2}

is maximum at nucleus.

2

Ψ^{2}

is maximum at nucleus but

4 π r^{2} Ψ^{2}

is minimum at nucleus.

3 Both

Ψ^{2}

and

4 π r^{2} Ψ^{2}

are maximum at nucleus.

4 Both

Ψ^{2}

and

4 π r^{2} Ψ^{2}

are minimum at nucleus.

Explanation:

$ψ = \frac{1}{\sqrt{π}} {(\frac{1}{a_{0}})}^{3 / 2} = e^{(- \frac{r}{a_{0}})}$
Hence, $ψ^{2}$ is maximum at $r = 0$ , but $4 π ρ^{2} ψ^{2}$ is minimum at $r = 0$ .

CHXI02:STRUCTURE OF ATOM

307443 Which of the following is not true for the quantum mechanical model of the atom?

1 Even though there is one electron in a H-atom, there are many atomic orbitals in the atom as many wave functions are possible as the solution of the wave equation.

2 All the information about the electron in an atom is stored in its orbital wave function

ψ

and quantum mechanics makes it possible to extract this information out of

ψ .

3 The probability of finding an electron at a point within an atom is proportional to the square of the orbital wave function i.e.,

| ψ |^{2}

at that point.

4

| ψ |^{2}

is known as the probability density and can never be positive.

Explanation:

$ψ$ may be – ve or + ve but $ψ^{2}$ is always positive.

CHXI02:STRUCTURE OF ATOM

307444 Wave mechanical model of the atom depends upon

1 De-Broglie concept of dual nature of electron

2 Heisenberg uncertainty principle

3 Schrodinger uncertainty principle

4 All of above

CHXI02:STRUCTURE OF ATOM

307445 Total number of electrons that can be accommodated in the sub-shell (l = 2) are

1

6

2

10

3

14

4

2

Explanation:

$l = 2$ is d - orbital which can accomdate 10 electrons

CHXI02:STRUCTURE OF ATOM

307441 The quantum number not obtained from the Schrodinger’s wave equation is

1

n

2

1

3

m

4

s

CHXI02:STRUCTURE OF ATOM

307442 Which of the following statement concerning probability density $(Ψ^{2})$ and radial distribution function $(4 π r^{2} Ψ^{2})$ for a s-orbital of H-like species is correct?

1

Ψ^{2}

is minimum at nucleus but

4 π r^{2} Ψ^{2}

is maximum at nucleus.

2

Ψ^{2}

is maximum at nucleus but

4 π r^{2} Ψ^{2}

is minimum at nucleus.

3 Both

Ψ^{2}

and

4 π r^{2} Ψ^{2}

are maximum at nucleus.

4 Both

Ψ^{2}

and

4 π r^{2} Ψ^{2}

are minimum at nucleus.

Explanation:

$ψ = \frac{1}{\sqrt{π}} {(\frac{1}{a_{0}})}^{3 / 2} = e^{(- \frac{r}{a_{0}})}$
Hence, $ψ^{2}$ is maximum at $r = 0$ , but $4 π ρ^{2} ψ^{2}$ is minimum at $r = 0$ .

CHXI02:STRUCTURE OF ATOM

307443 Which of the following is not true for the quantum mechanical model of the atom?

1 Even though there is one electron in a H-atom, there are many atomic orbitals in the atom as many wave functions are possible as the solution of the wave equation.

2 All the information about the electron in an atom is stored in its orbital wave function

ψ

and quantum mechanics makes it possible to extract this information out of

ψ .

3 The probability of finding an electron at a point within an atom is proportional to the square of the orbital wave function i.e.,

| ψ |^{2}

at that point.

4

| ψ |^{2}

is known as the probability density and can never be positive.

Explanation:

$ψ$ may be – ve or + ve but $ψ^{2}$ is always positive.

CHXI02:STRUCTURE OF ATOM

307444 Wave mechanical model of the atom depends upon

1 De-Broglie concept of dual nature of electron

2 Heisenberg uncertainty principle

3 Schrodinger uncertainty principle

4 All of above

CHXI02:STRUCTURE OF ATOM

307445 Total number of electrons that can be accommodated in the sub-shell (l = 2) are

1

6

2

10

3

14

4

2

Explanation:

$l = 2$ is d - orbital which can accomdate 10 electrons

CHXI02:STRUCTURE OF ATOM

307441 The quantum number not obtained from the Schrodinger’s wave equation is

1

n

2

1

3

m

4

s

CHXI02:STRUCTURE OF ATOM

307442 Which of the following statement concerning probability density $(Ψ^{2})$ and radial distribution function $(4 π r^{2} Ψ^{2})$ for a s-orbital of H-like species is correct?

1

Ψ^{2}

is minimum at nucleus but

4 π r^{2} Ψ^{2}

is maximum at nucleus.

2

Ψ^{2}

is maximum at nucleus but

4 π r^{2} Ψ^{2}

is minimum at nucleus.

3 Both

Ψ^{2}

and

4 π r^{2} Ψ^{2}

are maximum at nucleus.

4 Both

Ψ^{2}

and

4 π r^{2} Ψ^{2}

are minimum at nucleus.

Explanation:

$ψ = \frac{1}{\sqrt{π}} {(\frac{1}{a_{0}})}^{3 / 2} = e^{(- \frac{r}{a_{0}})}$
Hence, $ψ^{2}$ is maximum at $r = 0$ , but $4 π ρ^{2} ψ^{2}$ is minimum at $r = 0$ .

CHXI02:STRUCTURE OF ATOM

307443 Which of the following is not true for the quantum mechanical model of the atom?

1 Even though there is one electron in a H-atom, there are many atomic orbitals in the atom as many wave functions are possible as the solution of the wave equation.

2 All the information about the electron in an atom is stored in its orbital wave function

ψ

and quantum mechanics makes it possible to extract this information out of

ψ .

3 The probability of finding an electron at a point within an atom is proportional to the square of the orbital wave function i.e.,

| ψ |^{2}

at that point.

4

| ψ |^{2}

is known as the probability density and can never be positive.

Explanation:

$ψ$ may be – ve or + ve but $ψ^{2}$ is always positive.

CHXI02:STRUCTURE OF ATOM

307444 Wave mechanical model of the atom depends upon

1 De-Broglie concept of dual nature of electron

2 Heisenberg uncertainty principle

3 Schrodinger uncertainty principle

4 All of above

CHXI02:STRUCTURE OF ATOM

307445 Total number of electrons that can be accommodated in the sub-shell (l = 2) are

1

6

2

10

3

14

4

2

Explanation:

$l = 2$ is d - orbital which can accomdate 10 electrons

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