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2101
A particle with a wavelength λ of 10^{-14} m has a momentum of:
A. 8.32 × 10^{-20} kg·m/sec
B. 6.36 × 10^{-20} kg·m/sec
C. 6.63 × 10^{-20} kg·m/sec
D. 6.86 × 10^{-20} kg·m/sec
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Correct Option
Explanation
Using p = h/λ with h = 6.63×10^{-34} J·s and λ = 10^{-14} m gives p ≈ 6.63×10^{-20} kg·m/s; the OCR marks option C.
2102
The stopping potential is 2.9 V for light of wavelength 3250 Å incident on the emitting surface. The work function of the metal is
A. cannot be deduced from the given data
B. 1.9 eV
C. 5.8 eV
D. 0.9 eV
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Correct Option
Explanation
Photon energy = hc/λ ≈ 1240 eV·nm / 325 nm ≈ 3.815 eV; work function = photon energy − stopping potential ≈ 3.815 − 2.9 ≈ 0.915 eV ≈ 0.9 eV.
2103
The half-life of a radioactive substance as compared to its mean-life is
A. 50%
B. 90%
C. 70%
D. 30%
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Correct Option
Explanation
Half-life divided by mean life equals ln(2) ≈ 0.693, i.e. about 70%.
2104
Light of frequency 8 × 10^? Hz is directed on a substance of photoelectric work function 6.125 eV. The _____ of the emitted photoelectrons will be 27 eV.
A. The minimum potential energy
B. The maximum potential energy
C. The maximum kinetic energy
D. The minimum kinetic energy
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Explanation
Photoelectric emission yields a range of kinetic energies; the stated 27 eV refers to the maximum kinetic energy of emitted electrons.
2105
As one considers orbits with higher values of n in a hydrogen atom, the electric potential energy of the electron
A. increases
B. decreases
C. remains the same
D. does not increase
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Explanation
Potential energy (being negative) becomes less negative (i.e., increases) as n increases, approaching zero at ionisation.
2106
The rest-mass energy of a particle is
A. E0 = Δmc^2
B. E = mc^2 - m0c^2
C. E0 = mc^2
D. E = mc^2 + m0c^2
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Explanation
The rest-mass (rest) energy of a particle is given by E0 = m c^2.
2107
136. Energy can be obtained from any nuclear reaction in which the binding energy per nucleon of the products:
A. Decreases to a larger extent
B. Remains same
C. Decreases
D. Increases
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Correct Option
Explanation
Energy is released when products have greater binding energy per nucleon (i.e., binding energy increases), and the OCR shows a mark adjacent to 'Increases'.
2108
The energy of an electron in excited hydrogen atom is -3.4 eV. Then according to Bohr's theory, the angular momentum of the electron in Js is
A. 2.11 × 10^-34 Js
B. 3 × 10^-34 Js
C. 0.5 × 10^-34 Js
D. 2 × 10^-34 Js
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Correct Option
Explanation
Energy -3.4 eV corresponds to n=2; angular momentum = nħ = 2ħ ≈ 2.11×10^-34 Js, so option A is correct.
2109
Radioactive substances do not emit
A. β-particles
B. α-particles
C. γ-rays
D. neutrons
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Correct Option
Explanation
Common forms of radioactive emission are α, β and γ; neutron emission is not a common general emission from all radioactive substances (the questionnaire implies neutrons are not emitted).
2110
(147) A typical Mossbauer effect setup for the case of 191Ir where the γ-ray energy is 129 KeV and the half-life is 14 ns, calculate the normal recoil energy:
A. 4.7 neV
B. .047 eV
C. 4.7 KeV
D. 4.7 MeV
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Correct Option
Explanation
Using E_r = E^2/(2Mc^2) with E=129 keV and nuclear mass ~191 u yields about 0.047 eV, option (a).