Let $T_1$ and $T_2$ be the energy of an electron in the first and second excited states of the hydrogen atom, respectively. According to Bohr's model of an atom, the ratio $T_1:T_2$ is:
1. $9:4$
2. $1:4$
3. $4:1$
4. $4:9$

Subtopic: Bohr's Model of Atom |

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Q229:

Let $L_1$ and $L_2$ be the orbital angular momentum of an electron in the first and second excited states of the hydrogen atom, respectively. According to Bohr's model, the ratio $L_1:L_2$ is:
1. $1:2$
2. $2:1$
3. $3:2$
4. $2:3$

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Q230:

Let

R_{1}

$R_1$ be the radius of the second stationary orbit and

R_{2}

$R_2$ be the radius of the fourth stationary orbit of an electron in Bohr's model. The ratio of

\frac{R_{1}}{R_{2}}

$\dfrac{R_1}{R_2}$ is:
1.

0.25

$0.25$
2.

0.5

$0.5$
3.

2

$2$
4.

4

$4$

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Q231:

In hydrogen spectrum, the shortest wavelength in the Balmer series is

λ

$\lambda$ . The shortest wavelength in the Bracket series is:
1.

16 λ

$16\lambda$
2.

2 λ

$2\lambda$
3.

4 λ

$4\lambda$
4.

9 λ

$9\lambda$

Subtopic: Spectral Series |

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Q232:

The minimum wavelength of X-rays produced by an electron accelerated through a potential difference of

V

$V$ volts is proportional to:
1.

V^{2}

$V^2$
2.

\sqrt{V}

$\sqrt{V}$
3.

1 / V

$1/V$
4.

\frac{1}{\sqrt{V}}

$\frac{1}{\sqrt{V}}$

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Q233:

The radius of innermost orbit of a hydrogen atom is

5.3 \times 10^{- 11} m .

$5.3 \times 10^{-11}~\text m.$ What is the radius of the third allowed orbit of a hydrogen atom?
1.

4.77 \overset{˚}{A}

$4.77~ \mathring{A}$
2.

0.53 \overset{˚}{A}

$0.53~ \mathring{A}$
3.

1.06 \overset{˚}{A}

$1.06~ \mathring{A}$
4.

1.59 \overset{˚}{A}

$1.59~ \mathring{A}$

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Q234:

The ground state energy of a hydrogen atom is

- 13.6 eV .

$-13.6~\text{eV}.$ The energy needed to ionize the hydrogen atom from its second excited state will be:
1.

13.6 eV

$13.6~\text{eV}$
2.

6.8 eV

$6.8~\text{eV}$
3.

1.51 eV

$1.51~\text{eV}$
4.

3.4 eV

$3.4~\text{eV}$

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Q235:

The wavelength of the Lyman series of hydrogen atom appears in:

1.	visible region
2.	far infrared region
3.	ultraviolet region
4.	infrared region

Subtopic: Spectral Series |

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Q236:

The angular momentum of an electron moving in an orbit of a hydrogen atom is

1.5 (\frac{h}{π}) .

$1.5\left(\frac h\pi\right).$ The energy in the same orbit is nearly:

1.	$-1.5~\text{eV}$	2.	$-1.6~\text{eV}$
3.	$-1.3~\text{eV}$	4.	$-1.4~\text{eV}$

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Q227:

The wavelength of the first spectral line of the Lyman series of the hydrogen spectrum is:
1. $1218$ Å
2. $974.3$ Å
3. $2124$ Å
4. $2120$ Å

Subtopic: Spectral Series |

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Let $T_1$ and $T_2$ be the energy of an electron in the first and second excited states of the hydrogen atom, respectively. According to Bohr's model of an atom, the ratio $T_1:T_2$ is:
1. $9:4$
2. $1:4$
3. $4:1$
4. $4:9$

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Let T1T1T_1 and T2T2T_2 be the energy of an electron in the first and second excited states of the hydrogen atom, respectively. According to Bohr's model of an atom, the ratio T1:T2T1:T2T_1:T_2 is: 1. 9:49:49:4 2. 1:41:41:4 3. 4:14:14:1 4. 4:94:94:9

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Let $T_1$ and $T_2$ be the energy of an electron in the first and second excited states of the hydrogen atom, respectively. According to Bohr's model of an atom, the ratio $T_1:T_2$ is:
1. $9:4$
2. $1:4$
3. $4:1$
4. $4:9$