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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NEET - 2023
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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 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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NEET - 2023
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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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NEET - 2022
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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. $$2:3$$

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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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For which one of the following Bohr model is not valid?

 1 Singly ionised helium atom $$He^{+}$$ 2 Deuteron atom 3 Singly ionised neon atom $$Ne^{+}$$ 4 Hydrogen atom
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. $$E_n = -{13.6}\times{n^2}~\text{eV}$$

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The total energy of an electron in the orbit of an atom is $$-3.4~\mathrm{eV}$$. Its kinetic and potential energies are, respectively:

 1 $$3.4~\mathrm{eV},~3.4~\mathrm{eV}$$ 2 $$-3.4~\mathrm{eV},~-3.4~\mathrm{eV}$$ 3 $$-3.4~\mathrm{eV},~-6.8~\mathrm{eV}$$ 4 $$3.4~\mathrm{eV},~-6.8~\mathrm{eV}$$
Subtopic: Â Bohr's Model of Atom |
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The radius of the first permitted Bohr orbit for the electron in a hydrogen atom equals $$0.5~\mathring{{A}}$$ and its ground state energy equals $$-13.6~\text{eV}$$. If the electron in the hydrogen atom is replaced by a muon $$(\mu^{-})$$ [charge same as electron and mass $$207~m_e$$${}_{}$], the first Bohr radius and ground state energy will be: ( $$m_e$$ represents the mass of an electron)
 1 $$0.53\times10^{-13}~\text{m}, ~-3.6~\text{eV}$$ 2 $$25.6\times10^{-13}~\text{m}, ~-2.8~\text{eV}$$ 3 $$2.56\times10^{-13}~\text{m}, ~-2.8~\text{keV}$$ 4 $$2.56\times10^{-13}~\text{m}, ~-13.6~\text{eV}$$
Subtopic: Â Bohr's Model of Atom |
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