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# Let $$T_1$$ and $$T_2$$ be the energy of an electron in the first and second excited states of 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: Â Bohr's Model of Atom |
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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. $$2:3$$

Subtopic: Â Bohr's Model of Atom |
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Let $$R_1$$ be the radius of the second stationary orbit and $$R_2$$ be the radius of the fourth stationary orbit of an electron in Bohr's model. The ratio $$\frac{R_1}{R_2}$$ is:
1. $$0.25$$
2. $$0.5$$
3. $$2$$
4. $$4$$
Subtopic: Â Bohr's Model of Atom |
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In hydrogen spectrum, the shortest wavelength in the Balmer series is $$\lambda$$. The shortest wavelength in the Bracket series is:
1. $$16\lambda$$
2. $$2\lambda$$
3. $$4\lambda$$
4. $$9\lambda$$
Subtopic: Â Spectral Series |
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NEET - 2023
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The radius of inner most orbit of a hydrogen atom is $$5.3 \times 10^{-11}$$ m. What is the radius of the third allowed orbit of a hydrogen atom?
 1 $$4.77~ \mathring{A}$$ 2 $$0.53~ \mathring{A}$$ 3 $$1.06~ \mathring{A}$$ 4 $$1.59~ \mathring{A}$$
Subtopic: Â Bohr's Model of Atom |
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The ground state energy of a hydrogen atom is $$-13.6~\text{eV}$$. The energy needed to ionize the hydrogen atom from its second excited state will be:
1. $$13.6~\text{eV}$$
2. $$6.8~\text{eV}$$
3. $$1.51~\text{eV}$$
4. $$3.4~\text{eV}$$
Subtopic: Â Bohr's Model of Atom |
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NEET - 2023
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The wavelength of Lyman series of hydrogen atom appears in:
 1 visible region 2 far infrared region 3 ultraviolet region 4 infrared region
Subtopic: Â Spectral Series |
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NEET - 2023
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The angular momentum of an electron moving in an orbit of a hydrogen atom is $$1.5\Big(\frac h\pi\Big).$$ The energy in the same orbit is nearly:
1. $$-1.5~\text{eV}$$
2. $$-1.6~\text{eV}$$
3. $$-1.3~\text{eV}$$
4. $$-1.4~\text{eV}$$
Subtopic: Â Bohr's Model of Atom |
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The total energy of an electron in the $$n^{th}$$ stationary orbit of the hydrogen atom can be obtained by:
1. $$E_n = \frac{13.6}{n^2}~\text{eV}$$
2. $$E_n = -\frac{13.6}{n^2}~\text{eV}$$
3. $$E_n = \frac{1.36}{n^2}~\text{eV}$$
4. $$E_n = -{13.6}\times{n^2}~\text{eV}$$

Subtopic: Â Bohr's Model of Atom |
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Match List I with List II.
 List I (Spectral Lines of Hydrogen for transitions from) List II (Wavelength (nm)) $$\mathrm{A.}$$ $$n_2=3$$  to $$n_1=2$$ $$\mathrm{I.}$$ $$410.2$$ $$\mathrm{B.}$$ $$n_2=4$$  to $$n_1=2$$ $$\mathrm{II.}$$ $$434.1$$ $$\mathrm{C.}$$ $$n_2=5$$  to $$n_1=2$$ $$\mathrm{III.}$$ $$656.3$$ $$\mathrm{D.}$$ $$n_2=6$$ to $$n_1=2$$ $$\mathrm{IV.}$$ $$486.1$$
Choose the correct answer from the options given below:
1. $$\mathrm{A - III, B - IV, C - II, D - I}$$
2. $$\mathrm{A - IV, B - III, C - I, D - II}$$
3. $$\mathrm{A - I, B - II, C - III, D - IV}$$
4. $$\mathrm{A - II, B - I, C - IV, D - III}$$
Subtopic: Â Spectral Series |
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NEET - 2024