If the density of gold nucleus is \(X\), then the density of silver nucleus will be:
1. \(2X\)
2. \(\frac{X}{3}\)
3. \(4X\)
4. \(X\)

Subtopic:  Nucleus |
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Read the following statements:
A. volume of the nucleus is directly proportional to the mass number.
B. volume of the nucleus is independent of mass number.
C. density of the nucleus is directly proportional to the mass number.
D. density of the nucleus is directly proportional to the cube root of the mass number.
E. density of the nucleus is independent of the mass number.

Choose the correct option from the following options.
1. (A) and (D) only.
2. (A) and (E) only.
3. (B) and (E) only.
4. (A) and (C) only.
Subtopic:  Nucleus |
 80%
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The volume \((V)\) of a nucleus is related to its mass \((M)\) as:
1. \(V\propto M\)
2. \(V\propto \frac{1}{M}\)
3. \(V\propto M^3\)
4. \(V\propto \frac{1}{M^3}\)

Subtopic:  Nucleus |
 77%
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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 |
 78%
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AIPMT - 2008
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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 |
 81%
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If the nuclear density of the material of atomic mass \(27\) is \(3\rho _{0},\) then the nuclear density of the material of atomic mass \(125\) is:
1. \(5\rho_0\)
2. \(3\rho_0\)
3. \(\frac{5}{3}\rho_0\)
4. \(\rho_0\)

Subtopic:  Nucleus |
 69%
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The stable nucleus that has a radius half of the radius of \(\mathrm{Fe}^{56}\) is:
1. \(\mathrm{Li}^7\)
2. \(\mathrm{Na}^{21}\)
3. \(\mathrm{S}^{16}\)
4. \(\mathrm{Ca}^{40}\)

Subtopic:  Nucleus |
 66%
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Consider the following statements:

(I) All isotopes of elements have the same number of neutrons.
(II) Only one isotope of an element can be stable and non-radioactive.
(III) All elements have isotopes.
(IV) All isotopes of carbon can form chemical compounds with oxygen\(\text-16\).

The correct option regarding an isotope is:

1. (III) and (IV) only
2. (II), (III), and (IV) only
3. (I), (II), and (III) only
4. (I), (III), and (IV) only
Subtopic:  Nucleus |
 60%
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Given below are two statements: 
Assertion (A): Isotopes of an element can be separated by using a mass spectrometer.
Reason (R): Separation of isotopes is possible because of the difference in electron numbers of isotopes.
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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The energy equivalent of one atomic mass unit is:
1. \(1.6\times 10^{-19}~\text{J}\)
2. \(6.02\times 10^{23}~\text{J}\)
3. \(931~\text{MeV}\)
4. \(9.31~\text{MeV}\)

Subtopic:  Mass-Energy Equivalent |
 82%
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