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In Rutherford’s nuclear model of the atom, the nucleus (radius about 10-15 m) is analogous to the sun about which the electron move in orbit (radius ≈ 10-10 m) like the earth orbits around the sun. If the dimensions of the solar system had the same proportions as those of the atom, then:

(The radius of the earth's orbit is about 1.5 x 1011m. The radius of the sun is taken as 7 x 108m.)

 1 the earth will be closer to the sun than it is actually. 2 the earth will be farther away from the sun than it is actually. 3 the earth remains at the same distance from the sun as it is actually. 4 None of these

Subtopic:  Various Atomic Models |
56%
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In a Geiger-Marsden experiment, what is the distance of the closest approach to the nucleus of a $$7.7$$ MeV $$\alpha$$-particle before it comes momentarily to rest and reverses its direction?
1. $$10$$ fm

2. $$25$$ fm

3. $$30$$ fm

4. $$35$$ fm

Subtopic:  Various Atomic Models |
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It is found experimentally that $$13.6~\text{eV}$$ energy is required to separate a hydrogen atom into a proton and an electron. The velocity of the electron in a hydrogen atom is:
1. $$3.2\times10^6~\text{m/s}$$
2. $$2.2\times10^6~\text{m/s}$$
3. $$3.2\times10^6~\text{m/s}$$
4. $$1.2\times10^6~\text{m/s}$$

Subtopic:  Various Atomic Models |
76%
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According to the classical electromagnetic theory, the initial frequency of the light emitted by the electron revolving around a proton in the hydrogen atom is: (The velocity of the electron moving around a proton in a hydrogen atom is $$2.2\times10^{6}$$ m/s)

 1 $$7.6\times10^{13}$$ Hz 2 $$4.7\times10^{15}$$ Hz 3 $$6.6\times10^{15}$$ Hz 4 $$5.2\times10^{13}$$ Hz
Subtopic:  Bohr's Model of Atom |
52%
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A $$10~\text{kg}$$ satellite circles earth once every $$2~\text{h}$$ in an orbit having a radius of $$8000~\text{km}$$. Assuming that Bohr’s angular momentum postulate applies to satellites just as it does to an electron in the hydrogen atom. The quantum number of the orbit of the satellite is:
1. $$2.0\times10^{43}$$
2. $$4.7\times10^{45}$$
3. $$3.0\times10^{43}$$
4. $$5.3\times10^{45}$$

Subtopic:  Bohr's Model of Atom |
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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 |
60%
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