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12th Grade > Physics

ATOMS AND NUCLEI MCQs

Atoms, Nuclei (12th Grade)

Total Questions : 60 | Page 2 of 6 pages
Question 11. Any radiation in the ultra violet region of Hydrogen spectrum is able to eject photoelectrons from a metal. Then the threshold frequency of the metal for a threshold λ=1R=911˙A,is nearly
  1.    3.3×1015HZ
  2.    2.5×1015HZ
  3.    4.6×1014HZ
  4.    8.2×1014HZ
 Discuss Question
Answer: Option A. -> 3.3×1015HZ
:
A
c=νλ ; ν=cλ=3×108911×1010
ν=3.3×1015HZ
Question 12. If the wavelength of first member of Balmer series of hydrogen spectrum is 6564˙A, the wavelength of second member of Balmer series will be:
  1.    1215˙A
  2.    4862˙A
  3.    6050˙A
  4.    5892˙A
 Discuss Question
Answer: Option B. -> 4862˙A
:
B
1λ1[122132]
1λ1536 . . . .(1)
1λ2[14116]
1λ2[316] . . . .(2)
λ2λ1=5×1636×3=2027
λ2=2027×6564=4862˙A
Question 13. In a Bohr atom the electron is replaced by a particle of mass 150 times the mass of the electron and the same charge. If a0 is the radius of the Bohr orbit, then that of the new atom will be
  1.    150a0
  2.    √150a0
  3.    a0√150
  4.    a0150
 Discuss Question
Answer: Option D. -> a0150
:
D
r1m ; r2r1=m1m2
r1=a0 ; m1=me ; m2=150me
r2=me150mea0=a0150
Question 14. Ionisation energy for hydrogen atom in the ground state is E. What is the ionisation energy of Li++ atom in the 2nd excited state
  1.    E
  2.    3 E
  3.    6 E
  4.    9 E
 Discuss Question
Answer: Option A. -> E
:
A
Ionisation energy of atom in nth state EnαZ2n2
For hydrogen atom in ground state (n = 1) and Z = 1 E=E0 ....... (i)
For Li++ atom in 2nd excited state n = 3 and Z = 3, hence E=E032×32=E0 ........ (ii)
From equation (i) and (ii) E=E
Question 15. A photon of energy 12.4 eV is completely absorbed by a hydrogen atom initially in the ground state so that it is excited. The quantum number of the excited state is
  1.    n = 1
  2.    n = 3
  3.    n = 4
  4.    n = ∞
 Discuss Question
Answer: Option C. -> n = 4
:
C
Let electron absorbing the photon energy reaches to the excited state n. Then using energy conservation
13.6n2=13.6+12.413.6n2=1.2n2=13.61.2=12n=3.464
Question 16. The binding energy per nucleon of deuteron (21H) and helium nucleus (42He) is 1.1 MeV and 7 MeV respectively. If two deuteron nuclei react to form a single helium nucleus, then the energy released is
  1.    13.9 MeV
  2.    26.9 MeV
  3.    23.6 MeV
  4.    19.2 MeV
 Discuss Question
Answer: Option C. -> 23.6 MeV
:
C
1H2+1H22He4+Q
Total binding energy of helium nucleus = 4×7=28MeV
Total binding energy of each deutron = 2×1.1=2.2MeV
Hence energy released = 282×2.2=23.6MeV
Question 17. Two protons exerts a nuclear force on each other, the distance between them is
  1.    10−14m
  2.    10−10m
  3.    10−12m
  4.    10−8m
 Discuss Question
Answer: Option A. -> 10−14m
:
A
From the options, only at a distance of 1014m the nuclear force will act. This is equal to ten Fermis, as 1 Fermi =1015m, and this falls within the short range within which it acts.
Question 18. If m, mn and mp are the masses of ZXA nucleus, neutron and proton respectively
  1.    m
  2.    m=(A−Z)mn+Zmp
  3.    m=(A−Z)mp+Zmn
  4.    m>(A−Z)mn+Zmp
 Discuss Question
Answer: Option A. -> m
:
A
The mass of nucleus formed is always less than the sum of the masses of the constituent protons and neutrons i.e. m<(AZ)mn+Zmp.
Question 19. A atomic power reactor furnace can deliver 300 MW. The energy released due to fission of each of uranium atom U238 is 170 MeV. The number of uranium atoms fission per hour will be 
  1.    5×1015
  2.    10×1022
  3.    40×1021
  4.    30×1025
 Discuss Question
Answer: Option C. -> 40×1021
:
C
By using P=Wt=n×Et where n = Number of uranium atom fission and E = Energy released due to each fission so 300×106=n×170×106×1.6×10193600n=40×1021
Question 20. A radioactive substance has a half life of 60 minutes. After 3 hours, the percentage of atom that have decayed would be
  1.    12.5%
  2.    87.5%
  3.    8.5%
  4.    25.1%
 Discuss Question
Answer: Option B. -> 87.5%
:
B
N=N0(12)tT1/2. Hence fraction of atoms decayed
=1NN0=1(12)tT1/2=1(12)3×6060=78
In percentage it is 78×100=87.5%

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