The radius of a nucleus \((r)\) is directly proportional to the cube-root of the number of nucleons \((N).\) Assume that the mass of a nucleon is fixed \((m_n).\) The density \((\rho)\) of a nucleus varies as:
1. \(N^3\)
2. \(N^1\)
3. \(N^0\)
4. \(N^{-1}\)
Subtopic:  Nucleus |
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Two nuclei have their mass numbers in the ratio of \(1:3.\) The ratio of their nuclear densities would be:
1. \(1:3\)
2. \(3:1\)
3. \((3)^{1/3}:1\)
4. \(1:1\)

Subtopic:  Nucleus |
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AIPMT - 2008
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A nucleus of mass number \(189\) splits into two nuclei having mass numbers \(125\) and \(64.\) The ratio of the radius of two daughter nuclei respectively is:
1. \(25:16\) 2. \(1:1\)
3. \(4:5\) 4. \(5:4\)
Subtopic:  Nucleus |
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NEET - 2022
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Given below are two statements: 
Assertion (A): The density of nucleus is much higher than that of ordinary matter.
Reason (R): Most of the mass of the atom is concentrated in the nucleus while the size of this nucleus is almost \(10^5\) times smaller.
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Nucleus |
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Which, of the following particles, is unstable?
1. proton
2. neutron
3. electron
4. antineutrino
Subtopic:  Nucleus |
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