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CHXI02:STRUCTURE OF ATOM

307210 The radius of an orbit of H atom is $8 .5 \times 1 0^{- 10} m$ . The angular momentum of the electron in the same orbit is

1

\frac{h}{2 π}

2

\frac{h}{π}

3

\frac{2 h}{π}

4

\frac{3 h}{π}

Explanation:

$r_{n} = 0 .529 \times 1 0^{- 10} \times n^{2}$
$8 .5 \times 1 0^{- 10} = 0 .529 \times 1 0^{- 10} \times n^{2}$
$n^{2} = 16$
$n = 4$
Angular momentum (mvr) $= \frac{n h}{2 π} = \frac{4 h}{2 π} = \frac{2 h}{π}$

CHXI02:STRUCTURE OF ATOM

307211 The radius of the first Bohr orbit of the $H$ -atom is $r$ . Then, the radius of the first orbit of ${Li}^{2 +}$ will be

1

r / 9

2

r / 3

3

3 r

4

9 r

Explanation:

Radius of H-like species,
$r_{n} = 0 .529 \times \frac{n^{2}}{Z} \overset{^{\circ}}{A}$
As $0.529 \times n^{2}$ is radius for first Bohr orbit of $H$ -atom which is equal to $r$ (given), so radius of first orbit of
$L i^{2 +}, r_{n} = \frac{r}{3} (n = 1, Z = 3, f o r L i^{2 +})$

CHXI02:STRUCTURE OF ATOM

307212 Bohr’s model can explain

1 The spectrum of only hydrogen atom

2 The spectrum of the atoms of all the elements

3 The spectrum of only sodium atom

4 The spectrum of atomic or ionic species having one electron

CHXI02:STRUCTURE OF ATOM

307213 Assertion :
In Sommerfelds model, circular orbit is possible for the electron in $K$ shell.
Reason :
Electron present in $K$ shell corresponds to principal quantum number $n = 1$ .

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but Reason is correct.

Explanation:

Sommerfeld's model extends Bohr's, maintaining discrete electron orbits but introducing elliptical shapes; the K subshell is designated by the principal quantum number
$n = 1$ . So option (2) is correct.

CHXI02:STRUCTURE OF ATOM

307210 The radius of an orbit of H atom is $8 .5 \times 1 0^{- 10} m$ . The angular momentum of the electron in the same orbit is

1

\frac{h}{2 π}

2

\frac{h}{π}

3

\frac{2 h}{π}

4

\frac{3 h}{π}

Explanation:

$r_{n} = 0 .529 \times 1 0^{- 10} \times n^{2}$
$8 .5 \times 1 0^{- 10} = 0 .529 \times 1 0^{- 10} \times n^{2}$
$n^{2} = 16$
$n = 4$
Angular momentum (mvr) $= \frac{n h}{2 π} = \frac{4 h}{2 π} = \frac{2 h}{π}$

CHXI02:STRUCTURE OF ATOM

307211 The radius of the first Bohr orbit of the $H$ -atom is $r$ . Then, the radius of the first orbit of ${Li}^{2 +}$ will be

1

r / 9

2

r / 3

3

3 r

4

9 r

Explanation:

Radius of H-like species,
$r_{n} = 0 .529 \times \frac{n^{2}}{Z} \overset{^{\circ}}{A}$
As $0.529 \times n^{2}$ is radius for first Bohr orbit of $H$ -atom which is equal to $r$ (given), so radius of first orbit of
$L i^{2 +}, r_{n} = \frac{r}{3} (n = 1, Z = 3, f o r L i^{2 +})$

CHXI02:STRUCTURE OF ATOM

307212 Bohr’s model can explain

1 The spectrum of only hydrogen atom

2 The spectrum of the atoms of all the elements

3 The spectrum of only sodium atom

4 The spectrum of atomic or ionic species having one electron

CHXI02:STRUCTURE OF ATOM

307213 Assertion :
In Sommerfelds model, circular orbit is possible for the electron in $K$ shell.
Reason :
Electron present in $K$ shell corresponds to principal quantum number $n = 1$ .

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but Reason is correct.

Explanation:

Sommerfeld's model extends Bohr's, maintaining discrete electron orbits but introducing elliptical shapes; the K subshell is designated by the principal quantum number
$n = 1$ . So option (2) is correct.

CHXI02:STRUCTURE OF ATOM

307210 The radius of an orbit of H atom is $8 .5 \times 1 0^{- 10} m$ . The angular momentum of the electron in the same orbit is

1

\frac{h}{2 π}

2

\frac{h}{π}

3

\frac{2 h}{π}

4

\frac{3 h}{π}

Explanation:

$r_{n} = 0 .529 \times 1 0^{- 10} \times n^{2}$
$8 .5 \times 1 0^{- 10} = 0 .529 \times 1 0^{- 10} \times n^{2}$
$n^{2} = 16$
$n = 4$
Angular momentum (mvr) $= \frac{n h}{2 π} = \frac{4 h}{2 π} = \frac{2 h}{π}$

CHXI02:STRUCTURE OF ATOM

307211 The radius of the first Bohr orbit of the $H$ -atom is $r$ . Then, the radius of the first orbit of ${Li}^{2 +}$ will be

1

r / 9

2

r / 3

3

3 r

4

9 r

Explanation:

Radius of H-like species,
$r_{n} = 0 .529 \times \frac{n^{2}}{Z} \overset{^{\circ}}{A}$
As $0.529 \times n^{2}$ is radius for first Bohr orbit of $H$ -atom which is equal to $r$ (given), so radius of first orbit of
$L i^{2 +}, r_{n} = \frac{r}{3} (n = 1, Z = 3, f o r L i^{2 +})$

CHXI02:STRUCTURE OF ATOM

307212 Bohr’s model can explain

1 The spectrum of only hydrogen atom

2 The spectrum of the atoms of all the elements

3 The spectrum of only sodium atom

4 The spectrum of atomic or ionic species having one electron

CHXI02:STRUCTURE OF ATOM

307213 Assertion :
In Sommerfelds model, circular orbit is possible for the electron in $K$ shell.
Reason :
Electron present in $K$ shell corresponds to principal quantum number $n = 1$ .

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but Reason is correct.

Explanation:

Sommerfeld's model extends Bohr's, maintaining discrete electron orbits but introducing elliptical shapes; the K subshell is designated by the principal quantum number
$n = 1$ . So option (2) is correct.

CHXI02:STRUCTURE OF ATOM

307210 The radius of an orbit of H atom is $8 .5 \times 1 0^{- 10} m$ . The angular momentum of the electron in the same orbit is

1

\frac{h}{2 π}

2

\frac{h}{π}

3

\frac{2 h}{π}

4

\frac{3 h}{π}

Explanation:

$r_{n} = 0 .529 \times 1 0^{- 10} \times n^{2}$
$8 .5 \times 1 0^{- 10} = 0 .529 \times 1 0^{- 10} \times n^{2}$
$n^{2} = 16$
$n = 4$
Angular momentum (mvr) $= \frac{n h}{2 π} = \frac{4 h}{2 π} = \frac{2 h}{π}$

CHXI02:STRUCTURE OF ATOM

307211 The radius of the first Bohr orbit of the $H$ -atom is $r$ . Then, the radius of the first orbit of ${Li}^{2 +}$ will be

1

r / 9

2

r / 3

3

3 r

4

9 r

Explanation:

Radius of H-like species,
$r_{n} = 0 .529 \times \frac{n^{2}}{Z} \overset{^{\circ}}{A}$
As $0.529 \times n^{2}$ is radius for first Bohr orbit of $H$ -atom which is equal to $r$ (given), so radius of first orbit of
$L i^{2 +}, r_{n} = \frac{r}{3} (n = 1, Z = 3, f o r L i^{2 +})$

CHXI02:STRUCTURE OF ATOM

307212 Bohr’s model can explain

1 The spectrum of only hydrogen atom

2 The spectrum of the atoms of all the elements

3 The spectrum of only sodium atom

4 The spectrum of atomic or ionic species having one electron

CHXI02:STRUCTURE OF ATOM

307213 Assertion :
In Sommerfelds model, circular orbit is possible for the electron in $K$ shell.
Reason :
Electron present in $K$ shell corresponds to principal quantum number $n = 1$ .

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.

2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.

3 Assertion is correct but Reason is incorrect.

4 Assertion is incorrect but Reason is correct.

Explanation:

Sommerfeld's model extends Bohr's, maintaining discrete electron orbits but introducing elliptical shapes; the K subshell is designated by the principal quantum number
$n = 1$ . So option (2) is correct.