# 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: Â Nucleus |
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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: Â Nucleus |
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Which, of the following particles, is unstable?
1. proton
2. neutron
3. electron
4. antineutrino
Subtopic: Â Nucleus |
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In the given nuclear reaction, the element $$\mathrm{X}$$ is:$${ }_{11}^{22} \mathrm{Na} \rightarrow \mathrm{X}+\mathrm{e}^{+}+\nu$$
 1 $${ }_{12}^{22} \mathrm{Mg}$$ 2 $${ }_{11}^{23} \mathrm{Na}$$ 3 $${ }_{10}^{23} \mathrm{Ne}$$ 4 $$_{10}^{22}\textrm{Ne}$$
Subtopic: Â Types of Decay |
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NEET - 2022
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In an exoergic nuclear reaction (i.e. energy is released in the reaction), let
$$E_1:$$ total binding energy of initial nuclei
$$E_2:$$ total binding energy of final nuclei
$$A_1:$$ total number of nucleons of initial nuclei
$$A_2:$$ total number of nucleons of final nuclei
Then:
1.  $$E_1>E_2$$
2.  $$E_2>E_1$$
3.  $$E_1=E_2$$
4.  $$\frac{E_1}{A_1}=\frac{E_2}{A_2}$$
Subtopic: Â Nuclear Binding Energy |
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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: Â Nucleus |
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Antineutrinos are emitted during:
1. $$\alpha$$-decay
2. $$\beta$$-decay
3. $$\gamma$$-decay
4. neutron emission
Subtopic: Â Types of Decay |
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How does the binding energy per nucleon vary with the increase in the number of nucleons?
 1 decrease continuously with mass number. 2 first decreases and then increases with an increase in mass number. 3 first increases and then decreases with an increase in mass number. 4 increases continuously with mass number.
Subtopic: Â Nuclear Binding Energy |
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NEET - 2013
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Atomic number increases in:
 1 $$\alpha\text-$$decay. 2 $$\beta^{-}\text-$$decay. 3 $$\beta^{+}\text{-}$$decay. 4 $$K\text{-}$$electron capture.
Subtopic: Â Types of Decay |
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For nuclei with $$A>100,$$

 a. the binding energy of the nucleus decreases on an average as $$A$$ increases. b. the binding energy per nucleon decreases on an average as $$A$$ increases. c. if the nucleus breaks into two roughly equal parts, energy is released. d. if two nuclei fuse to form a bigger nucleus, energy is released.

Choose the correct option
1. (a), (b)
2. (b), (c)
3. (c), (d)
4. (a), (d)

Subtopic: Â Nuclear Binding Energy |
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