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2131
In the above question the wavelength corresponding to the series limit for the Lyman series is
A. 24.5 nm
B. 91.2 nm
C. 49 nm
D. 122 nm
Answer & Solution
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Correct Option
Explanation
Series limit is n=∞→1 so λ = 1/R ≈ 9.11×10⁻8 m ≈ 91.1 nm (≈91.2 nm).
2132
Which of the following phenomenon is observed in obtaining an X-ray photograph of our hand?
A. Shadow photography
B. Photoelectric effect
C. Ionization
D. Zeeman effect
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Explanation
X-ray imaging of the hand produces shadow-like images due to differential absorption, described here as shadow photography.
2133
Which of the following statements about the Bohr model of the hydrogen atom is false?
A. Potential energy of electron in n = 2 orbit is less than that in n = 1 orbit
B. Kinetic energy of electron in n = 2 orbit is less than that in n = 1 orbit
C. Acceleration of electron in n = 2 orbit is less than that in n = 1 orbit
D. Angular momentum of electron in n = 2 orbit is more than that in n = 1 orbit
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Explanation
Potential energy is less negative (i.e. larger) at n = 2 than at n = 1, so the statement that it is 'less' (more negative) is false; option D is false.
2134
Calculate the speed of a proton of kinetic energy 1 TeV in the Tevatron at Fermilab in Batavia, Illinois (Use a Taylor expansion):
A. β = 1.0
B. β = 0.999
C. β = 0.9999
D. β = 0.9999996
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Explanation
A 1 TeV proton has γ ≈ 1000, giving β = sqrt(1 - 1/γ^2) ≈ 0.9999996, matching option B.
2135
The mass of proton is 1.0073 u and that of neutron is 1.0087 u (u = atomic mass unit). The binding energy of He is (Given helium nucleus mass = 4.0015 u)
A. 28.4 MeV
B. 0.0305 erg
C. 0.0305 J
D. 0.061 u
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Correct Option
Explanation
Mass defect = 2(1.0073)+2(1.0087)-4.0015 = 0.0305 u; energy = 0.0305 u × 931.5 MeV/u ≈ 28.4 MeV, matching option A.
2136
Which Russian physicist first proposed the liquid-drop model for the nucleus in 1928?
A. George Gamow
B. Niel Armstrong
C. Niels Bohr
D. Bill Clinton
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Explanation
George Gamow proposed an early form of the liquid-drop model for the nucleus; he is the Russian physicist referenced.
2137
Radio-isotopes used for treatment of skin cancer are:
A. P-32 and Sr-90
B. I-131 and Co-60
C. C-14 and U-235
D. None of these
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Explanation
Surface radiotherapy for skin lesions commonly uses beta emitters like P-32 and Sr-90; the other pairs are not typical for skin cancer.
2138
Which of the following is its own anti-particle?
A. Positron
B. Electron
C. Proton
D. Photon
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Explanation
The photon is its own antiparticle, whereas the electron's antiparticle is the positron and the proton has a distinct antiparticle.
2139
The length of the cloud tracks in Wilson cloud chamber has been found to be:
A. Directly proportional to the energy of the incident particle
B. Inversely proportional to the energy of incident particle
C. Inversely proportional to the temperature inside the chamber
D. Directly proportional to the temperature inside the chamber
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Explanation
Higher energy particles travel further before losing energy, so track length increases with the incident particle's energy.
2140
The arrangement or molecules or atoms in a crystalline solid can be studied by using:
A. Neutrons
B. X-ray techniques
C. Copper atoms
D. Chemical methods
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Explanation
X-ray diffraction techniques are commonly used to study the arrangement of atoms in crystals.