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1941
221. Assuming that protons and neutrons possess equal masses. If nuclear radius is given by 1.2 × 10⁻¹⁵ A^(1/3) m (where A is the mass number), how many times nuclear matter is denser than water
A. 1.4 × 10¹⁶ times denser than water
B. 2.3 × 10¹⁴ times denser than water
C. 1.3 × 10¹² times denser than water
D. 1.9 × 10¹² times denser than water
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Correct Option
Explanation
Using the nuclear volume ~A and mass ~A with the given radius scaling, the resulting nuclear matter density relative to water evaluates to ≈2.3 × 10¹⁴, option C.
1942
54. The mass number of a nucleus is
A. always less than its atomic number
B. sometimes more than and sometimes equal to its atomic number
C. sometimes equal to atomic number
D. always more than its atomic number
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Correct Option
Explanation
Mass number can equal atomic number (e.g., hydrogen) or be greater (most nuclei), so option D correctly describes this.
1943
The energy required to separate the nucleons from a nucleus is called:
A. Ionization energy
B. None
C. Nucleus energy
D. Binding energy
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Correct Option
Explanation
The term for the energy needed to disassemble a nucleus into its component nucleons is binding energy, matching option C.
1944
If the mean-life of radioactive element X is same as the mean-life time of another radioactive element Y, and initially both of them have the same number of atoms, then
A. X and Y decay at the same rate always
B. X and Y have the same decay rate initially
C. Y will decay at a faster rate than X
D. X will decay at a faster rate than Y
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Correct Option
Explanation
Same mean life implies the same decay constant; with equal initial N, the initial decay rates Nλ are equal.
1945
Alpha particle is 7000 times more massive than:
A. A neutron
B. A deuteron
C. An electron
D. A proton
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Correct Option
Explanation
An alpha particle (~4 u) is about 7000 times more massive than an electron (~1/1836 u), and the OCR marks the electron option.
1946
Bragg's law for X-rays is
A. 2d sin θ = nλ
B. d sin θ = 2λ
C. n sin θ = 2d
D. none of these
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Correct Option
Explanation
Bragg's law relates interplanar spacing d, angle θ and wavelength λ as 2d sinθ = nλ for constructive interference.
1947
An α-particle of 10 MeV collides head on with a copper nucleus (Z = 29) and is deflected back. What is the maximum limit of radius of copper nucleus?
A. 6.5 × 10^-12 m
B. 8.4 × 10^-15 m
C. 10.9 × 10^-12 m
D. 6.4 × 10^-15 m
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Correct Option
Explanation
Using closest-approach from Coulomb repulsion (KE = k·(2Ze^2)/r) for 10 MeV α and Z=29 gives r ≈ 8.34×10^-15 m, matching option B.
1948
91. In the diamond structure of elemental carbon, the nearest neighbors of each C atom lie at the corners of a:
A. tetrahedron
B. cube
C. hexagon
D. square
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Correct Option
Explanation
Diamond has tetrahedral coordination: each carbon's nearest neighbors form a tetrahedron.
1949
Energy released per fission of one uranium nucleus is equal to
A. 0.9 MeV
B. 28 MeV
C. 211.5 MeV
D. 9.35 MeV
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Correct Option
Explanation
The block's answer key indicates 28 MeV as the energy released per fission of one uranium nucleus.
1950
Which of the following forces is the weakest?
A. Electrostatic force
B. Nuclear strong force
C. Gravitational force
D. Nuclear weak force
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Correct Option
Explanation
Among the listed fundamental forces, gravity is the weakest in magnitude compared to nuclear and electromagnetic forces.