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CBSE Questions for Class 12 Medical Physics Atoms Quiz 13 - MCQExams.com

Let v1 be the frequency of the series limited of the Lyman series, v2 be the frequency of the first line of the Lyman series, and v3 be the frequency of the series limited of the Balmer series. Then:
  • v1v2=v3
  • v2v1=v3
  • v3=12(v1+v3)
  • v1+v2=v3
If An is the area enclosed in the nth orbit in a hydrogen atom then the graph log (AnA1) against log n
  • will have slope 2 (a straight line)
  • will have slope 4 (a straight line)
  • will be a monotonically increasing non-linear curve
  • will be a circle
Let mP be the mass of a proton, mn the mass of a neutron, M1 the mass of a 2010Ne nucleus and M2 the mass of a 4020Ca nucleus. Then
  • M2=2M1
  • M2>2M1
  • M2<2M1
  • M1<10(mn+mp)
The quantum number n of the state finally populated in He+ ions is 
  • 2
  • 3
  • 4
  • 5
An electron in a hydrogen atom makes a transition from n=n1 to n=n2. The time period of the electron in the initial state is eight times that in the final state. The possible values of n1 and n2 are
  • n1=4,n2=2
  • n1=8,n2=2
  • n1=8,n2=1
  • n1=6,n2=3
If elements of quantum number greater than n were not allowed, the number of possible elements in nature would have been
  • 12n(n+1)
  • {n(n+1)2}2
  • 16n(n+1)(2n+1)
  • 13n(n+1)(2n+1)
Monochromatic radiations of wavelength λ are incident on a hydrogen sample in the ground state. Hydrogen atom absorbs the light and subsequently emits radiations of 10 different wavelengths. The value of λ is nearly
  • 203 nm
  • 95 nm
  • 80 nm
  • 73 nm
Check the correctness of the following statements about the Bohr Model of hydrogen atom:
(i) The acceleration of the electron in n=2 orbit is more than that in n=1 orbit.
(ii) The angular momentum of the electron in n=2 orbit is more than that in n=1 orbit.
(iii) The KE of the electron in n=2 orbit is less than that in n=1 orbit
  • All the statements are correct
  • Only (i) and (ii) are correct
  • Only (ii) and (iii) are correct
  • Only (iii) and (i) are correct
Find the value of principal quantum number n corresponding 20 kg satellite.
  • 1.6×1045
  • 1.6×108
  • 7.6×105
  • 8.3×1011
Find the radius of first two allowed orbits.
  • 2.5×1084m,1083m
  • 400km,1600km
  • 200m,800m
  • 3km,12km
  • none
If potential energy between a proton and an electron is given by |U|=ke2/2R3, where e is the charge of electron and R is the radius of atom, then radius of Bohr's orbit is given by (h = Planck's constant, k = constant)
  • ke2mh2
  • 6π2n2ke2mh2
  • 2πnke2mh2
  • 4π2ke2mn2h2
Which ray/radiation can be detected by GM counter?
155819_919f466ceee84e46bfcd8615412fa716.png
  • Alpha
  • Beta
  • γ ray
  • all
The wavelength of Kα X-rays of two metals A and B are 41875R and 1675R, respectively, where 'R' is Rydberg's constant. The number of elements lying between A and B according to their atomic number is
  • 3
  • 6
  • 5
  • 4
In a hydrogen atom, electron is in the nth excited state. It comes down to the first excited state by emitting 10 different wavelengths. The value of nth is
  • 6
  • 7
  • 8
  • 9
Which of the following statement about hydrogen spectrum are correct?
  • All the lines of Lyman series lie in ultraviolet region
  • All the lines of Balmer series lie in visible region
  • All the lines of Paschen series lie in infrared region
  • None of the above
If, in a hydrogen atom, radius of nth Bohr orbit is rn, frequency of revolution of electron in nth orbit if fn, and area enclosed by the nth orbit is An, then which of the following graphs are correct?
According to Bohr's theory of hydrogen-atom, for the electron in the nth permissible orbit
  • Linear Momentum 1n
  • Radius of orbit n
  • Kinetic Energy 1n2
  • Angular Momentum n
Which of the following products, in a hydrogen atom, are independent of the principal quantum number n? The symbols have their usual meanings.
  • ω2r
  • Ev2
  • v2r
  • Er
Let An be the area enclosed by the nth orbit in a hydrogen atom. The graph of ln(An/Al) against ln(n)
  • Will pass through origin
  • Will be a straight line with slope 4
  • Will be monotonically increasing nonlinear curve
  • Will be circle
Mark out the correct statement(s).
  • Line spectra contain information about atoms only
  • Line spectra contain information about both atoms and molecules
  • Band spectra contain information about both atoms and molecules
  • Band spectra contain information about molecules only
Continuous spectrum is produced by
  • Incandescent electric bulb
  • Sun
  • Hydrogen molecules
  • Sodium vapor lamp
In Bohr's model of the hydrogen atom, let R,V,T, and E represent the radius of the orbit, speed of the electron, time period of the revolution of electron and the total energy of the electron, respectively. The quantities proportional to the quantum number n are
  • VR
  • RE
  • TR
  • VE
Let the energy of the electron confined in the atom be E . At what F0 would the atom ionize?
  • F0=E2πε0e
  • F0=E2ε0e3
  • F0=πε0e3
  • F0=E2πε0e3
If the atom 100Fm257 follows the Bohr model and the radius of 100Fm257 is n times the Bohr radius, then find n.
  • 100
  • 200
  • 4
  • 1/4
The orbital radius of the first excited level of positronium atom is

Note: a0 is the orbital radius of ground state of hydrogen atom
  • 4a0
  • a0/2
  • 8a0
  • 2a0
What principle is violated here?
  • Laws of Motion
  • Energy conservation
  • Nothing is violated
  • Cannot be decided
The ratio between Bohr radii is
  • 1 : 2 : 3
  • 2 : 4 : 6
  • 1 : 4 : 9
  • 1 : 3 : 5
The radius of the first Bohr orbit is
  • 0.529×1010 m
  • 0.106×1010 m
  • 0.318×1010 m
  • None of these
In which transition is a Balmer series photon absorbed?
175079.png
  • II
  • III
  • IV
  • VI
The minimum permissible radius of the orbit will be :
172281.png
  • \displaystyle\frac{2\epsilon_0h^2}{m\pi e^2}
  • \displaystyle\frac{4\epsilon_0h^2}{m\pi e^2}
  • \displaystyle\frac{\epsilon_0h^2}{m\pi e^2}
  • \displaystyle\frac{\epsilon_0h^2}{2m\pi e^2}
Two smooth tunnels are dug from one side of the earths surface to the other side, one along a diameter and the other along a chord. Now two particles are dropped from one end of each of the tunnels. Both the particles oscillate simple harmonically along the tunnels. Let {T}{1} and {T}{2} be the time periods and {v}_{1} and {v}_{2} be the maximum speed of the particles in the two tunnels. Then 
  • {T}_{1}={T}_{2}
  • {T}_{1}>{T}_{2}
  • {v}_{1}={v}_{2}
  • {v}_{1}>{v}_{2}
A donor atom in a semiconductor has a loosely bound electron. The orbit of this electron is considerably affected by the semiconductor material but behaves in many ways like an electron orbiting a hydrogen nucleus. Given that the electrons has an effective mass of 0.07\ m_e (where m_{e} is mass of the free electron) and the space in which it moves has a permittivity 13\epsilon_{0}, then the radius of the electron's lowermost energy orbit will be close to (The Bohr radius of the hydrogen atom is 0.53\overset {\circ}{A}).
  • 0.53\overset {\circ}{A}
  • 243\overset {\circ}{A}
  • 10\overset {\circ}{A}
  • 100\overset {\circ}{A}
The radius of the first orbit of hydrogen is r_H, and the energy in the ground state is -13.6eV. Considering a \mu^--particle with a mass 207 m_e revolving round a proton as in Hydrogen atom, the energy and radius of proton and \mu^- combination respectively in the first orbit are: 
[Assume nucleus to be stationary]
  • -13.6\times 207\ eV,  \displaystyle\frac{r_H}{207}
  • -207\times 13.6\ eV, 207 r_H
  • \displaystyle\frac{-13.6}{207}\ eV,  \displaystyle\frac{r_H}{207}
  • \displaystyle\frac{-13.6}{207}\ eV,  207 r_H
In the Bohr model of a hydrogen atom, the centripetal force is furnished by the coulomb attraction between the proton and the electron. If a_0 is the radius of the ground state orbit, m is the mass and e is the charge on the election and \varepsilon_0 is the vacuum permittivity, the speed of the electron is?
  • 0
  • \displaystyle\frac{e}{\sqrt{\varepsilon_0a_0m}}
  • \displaystyle\frac{e}{\sqrt{4\pi\varepsilon_0a_0m}}
  • \sqrt{\displaystyle\frac{4\pi\varepsilon_0a_0m}{e}}
To calculate the size of a hydrogen anion using the Bohr model, we assume that its two electrons move in an orbit such that they are always on diametrically opposite sides of the nucleus. With each electron having the angular momentum \hbar = h/2\pi, and taking electron interaction into account the radius of the orbit in terms of the Bohr radius of hydrogen atom a_{B}= \dfrac {4\pi \epsilon_{0}\hbar^{2}}{me^{2}} is
  • a_{B}
  • \dfrac {4}{3}a_{B}
  • \dfrac {2}{3}a_{B}
  • \dfrac {3}{2}a_{B}
The number of revolutions per second made by an electron in the first Bohr's orbit of hydrogen atom is(Given, r=0.53\overset{o}{A}).
  • 6\times 10^5Hz
  • 2.5\times 10^{12}Hz
  • 1.9\times 10^{13}Hz
  • 6.5\times 10^{15}Hz
Which of the following statement is wrong?
  • \Psi_s = - \pi
  • DPD = -OP + TP
  • \Psi_w = \Psi_s + \Psi_p
  • \Psi_w = -DPD
To calculate the size of a hydrogen anion using the Bohr model, we assume that its two electrons move in an orbit such that they are always on diametrically opposite sides of the nucleus. With each electron having the angular momentum equal to \dfrac{h}{ 2 \pi}, and taking electron interaction into account the radius of the orbit in terms of the Bohr radius of hydrogen atom a_B=\displaystyle\frac{4\pi \epsilon_0h^2}{me^2} is?
  • a_B
  • \displaystyle\frac{4}{3}a_B
  • \displaystyle\frac{2}{3}a_B
  • \displaystyle\frac{3}{2}a_B
If velocity of \alpha  - particle is made 1/3 times, then % variation in distance of closest approach will be: (with respect to initial)
  • 300%
  • 600%
  • 800%
  • 80%
The radius of the smaller electron orbit in hydrogen-like ion is \dfrac{0.51\times 10^{-10}}{4}m, then it is?
  • hydrogen atom
  • He^+
  • Li^+
  • Be^{3+}
Given mass number of glod=197, density of gold=19.7 g per cm^3, Avogadro's number = 6\times 10^{23}.The radius of the gold atom is approximately:
  • 1.5 \times 10^{-8}m
  • 1.5 \times 10^{-9}m
  • 1.5 \times 10^{-10}m
  • 1.5 \times 10^{-12}m
In the Bohr's model of hydrogen-like atom the force between the nucleus and the electron is modified as
\quad F=\cfrac { { e }^{ 2 } }{ 4\pi { \varepsilon  }_{ 0 } } \left( \cfrac { 1 }{ { r }^{ 2 } } +\cfrac { \beta  }{ { r }^{ 3 } }  \right) , where \beta is a constant. For this atom, the radius of the nth orbit in terms of the Bohr radius \left( { a }_{ 0 }=\cfrac { { \varepsilon  }_{ 0 }{ h }^{ 2 } }{ m\pi { e }^{ 2 } }  \right) is:
  • { r }_{ n }={ a }_{ 0 }n-\beta
  • { r }_{ n }={ a }_{ 0 }{ n }^{ 2 }+\beta \quad
  • { r }_{ n }={ a }_{ 0 }{ n }^{ 2 }-\beta
  • { r }_{ n }={ a }_{ 0 }n+\beta
A diatomic molecules has moment of inertia I. By Bohr's quantization condition its rotational energy in the n^{th} level (n = 0 is not allowed) is
  • \dfrac {1}{n^{2}}\left (\dfrac {h^{2}}{8\pi^{2}I}\right )
  • \dfrac {1}{n}\left (\dfrac {h^{2}}{8\pi^{2}I}\right )
  • n\left (\dfrac {h^{2}}{8\pi^{2}I}\right )
  • n^{2}\left (\dfrac {h^{2}}{8\pi^{2}I}\right )
Orbits of a particle moving in a circle are such that the perimeter of the orbit equals an integer number of de-Broglie wavelengths of the particle. For a charged particle moving in a plane perpendicular to a magnetic field, the radius of the nth orbital will be proportional to
  • { n }^{ 2 }
  • n
  • { n }^{ 1/2 }
  • { n }^{ 1/4 }
An electron in a hydrogen atom makes a transition from n=n_{1} to n=n_{2}. The time period of the electron in the initial state is eight times that in the final state. The possible values of n_{1} and n_{2} are
  • n_{1}=4, n_{2}=2
  • n_{1}=8, n_{2}=2
  • n_{1}=8, n_{2}=1
  • n_{1}=6, n_{2}=3
A mixture of 2 moles of helium gas (atomic mass =4 amu) and 1 mole of argon gas (atomic mass =40 amu) is kept at 300 K in a container. The ratio of the rms speeds \left(\dfrac{v_{rms}(helium)}{v_{rms}(argon)}\right) is?
  • 0.32
  • 0.45
  • 2.24
  • 3.16
The wavelengths involved in the spectrum of deuterium \left( _{ 1 }^{ 2 }{ D } \right) are slightly different from that of hydrogen spectrum, because
  • size of the two nuclei are different
  • nuclear forces are different in the two cases
  • masses of the two nuclei are different
  • attraction between the electron and the nucleus is different in the two cases
In certain electronic transition from quantum level n to ground state in atomic hydrogen in one or more steps no line belonging to Brackett series is observed. The wave numbers which may be observed in Balmer series is then?
  • \dfrac{8R}{9}, \dfrac{5R}{36}
  • \dfrac{3R}{16}, \dfrac{8R}{9}
  • \dfrac{5R}{36}, \dfrac{3R}{16}
  • \dfrac{3R}{4}, \dfrac{3R}{16}
Calculate the radius of the nth orbit
  • \sqrt{\dfrac{nh}{2\pi e B}}
  • \sqrt{\dfrac{nheB}{2\pi}}
  • \sqrt{\dfrac{nhe}{2\pi B}}
  • \sqrt{\dfrac{nhB}{2\pi e}}
Angular momentum in second Bohr orbit of H-atom is x. Then find out angular momentum in 1st excited state of {Li}^{+2} ion:
  • 3x
  • 9x
  • \cfrac{x}{2}
  • x
0:0:2


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