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Select Chapter Topics:Various Atomic ModelsBohr's Model of AtomSpectral Series

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Q. No.Q20:Considering the \(3^{rd}\) orbit of \(\mathrm{He}^{+}\) (Helium ion), using the non-relativistic approach, the speed of the electron in this orbit will be: (Given: \(Z=2, K = 9\times 10^{9}\), and Planck's constant, \(h= 6.6\times10^{-34}~\text{J-s}\) ) 1. \(2.92\times 10^{8}\) m/s 2. \(1.46\times 10^{6}\) m/s 3. \(0.73\times 10^{8}\) m/s 4. \(3.0\times 10^{8}\) m/s

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An electron of a stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquires as a result of photon emission will be: (m is the mass of the hydrogen atom, \(R\) Rydberg constant and \(h\) Planck's constant)

1.	\(\dfrac{24   h R}{25   m}\)	2.	\(\dfrac{25   h R}{24 m}\)
3.	\(\dfrac{25 m}{24 h R}\)	4.	\(\dfrac{24 m}{25 h R}\)

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×Select Color:Add Note (Optional):Save changes1234Show me in NCERTShow me in VideoView ExplanationAdd NoteMore ActionsPrevious DoubtsHintsLinksUpgrade Your PlanUpgrade now and unlock your full question bank experience with daily practice.Buy Now Q21:The energy of a hydrogen atom in the ground state is \(-13.6~\text{eV}\). What is the energy of a \(\mathrm{He}^+\) ion in the first excited state? 1. \(-13.6~\text{eV}\) 2. \(-27.2~\text{eV}\) 3. \(-54.4~\text{eV}\) 4. \(-6.8~\text{eV}\)

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×Select Color:Add Note (Optional):Save changes1234Show me in NCERTShow me in VideoView ExplanationAdd NoteMore ActionsPrevious DoubtsHintsLinksUpgrade Your PlanUpgrade now and unlock your full question bank experience with daily practice.Buy NowQ3:

In a Rutherford scattering experiment when a projectile of charge \(Z_1\) and mass \(M_1\) approaches a target nucleus of charge \(Z_2\) and mass \(M_2\) the distance of the closest approach is \(r_0.\) What is the energy of the projectile?

1.	Directly proportional to \(M_1 \times M_2\)
2.	Directly proportional to \(Z_1Z_2\)
3.	Inversely proportional to \(Z_1\)
4.	Directly proportional to the mass \(M_1\)

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In the \(n^{th}\) orbit, the energy of an electron is \(E_{n}=-\frac{13.6}{n^2} ~\text{eV}\) for the hydrogen atom. What will be the energy required to take the electron from the first orbit to the second orbit? 1. \(10.2~\text{eV}\) 2. \(12.1~\text{eV}\) 3. \(13.6~\text{eV}\) 4. \(3.4~\text{eV}\)

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A beam of fast-moving alpha particles was directed towards a thin film of gold. The parts \(A', B',\) and \(C'\) of the transmitted and reflected beams corresponding to the incident parts \(A,B\) and \(C\) of the beam, are shown in the adjoining diagram. The number of alpha particles in:

1.	\(B'\) will be minimum and in \(C'\) maximum
2.	\(A'\) will be the maximum and in \(B'\) minimum
3.	\(A'\) will be minimum and in \(B'\) maximum
4.	\(C'\) will be minimum and in \(B'\) maximum

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1.	its potential energy increases and kinetic energy decreases.
2.	its potential energy decreases and kinetic energy increases.
3.	both kinetic energy and potential energy increase.
4.	both kinetic energy and potential energy decrease.

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1.	\(\dfrac{r_0}{9}\)	2.	\(r_0\)
3.	\(9r_0\)	4.	\(3r_0\)

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If an electron in a hydrogen atom jumps from the \(3\)rd orbit to the \(2\)nd orbit, it emits a photon of wavelength \(\lambda\). What will be the corresponding wavelength of the photon when it jumps from the \(4^{th}\) orbit to the \(3\)rd orbit?

1.	\(\dfrac{16}{25} \lambda\)	2.	\(\dfrac{9}{16} \lambda\)
3.	\(\dfrac{20}{7} \lambda\)	4.	\(\dfrac{20}{13} \lambda\)

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