Nuclei Test

Result

Nuclei Test - 67

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Weekly Quiz Competition

Question 1
1 / -0

A nucleus of mass M +$$\triangle m$$ is at rest and decays into daughter nucleus of equal mass $$\dfrac { M }{ 2 } $$ each
speed of light is c
The speed of daughter nuclei is:-

A
$$c\sqrt { \dfrac { \triangle m }{ m+\triangle } } $$

B
$$c\sqrt { \dfrac { \triangle m }{ m+\triangle m } } $$

C
$$c\sqrt { \dfrac { 2\triangle m}{ m } } $$

D
$$c\sqrt { \dfrac { \triangle m }{ m } } $$

Solution
Question 2
1 / -0

In the nuclear reaction, $$X\left( {n,\alpha } \right){ \to _3}L{i^7}$$ which of the following option is correct?

A
$$X{ = _5}{\beta ^{10}}$$, $$\alpha $$ -deacy result in decrease of atomic number

B
$$X{ = _5}{\beta ^{10}}$$, only $${\beta ^ + }$$- decay result in increase of atomic number

C
$$X{ = _5}{\beta ^{11}}$$, $$\alpha $$-decay result in increase of atomic number

D
$$X{ = _5}{\beta ^{11}}$$, $$\alpha $$- and $${\beta ^ + }$$-decay result in decrease of atomic number

Solution
Question 3
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The binding energies per nucleon of deutron and $$\alpha - particles$$ are $$X_1$$ and $$X_2$$ respectively. The energy released in the following reaction will be: $$1{H}^2 + 1{H}^2 = 2{He}^4 + Q$$

A
$$(X_1 + X_2)$$

B
$$(X_2 - X_1)$$

C
$$4(X_1 + X_2)$$

D
$$4(X_2 - X_1)$$

Solution
Question 4
1 / -0

Binding energy of deuterium is 2.23 MeV, then its mass defect in a.m.u. is:
The value of energy for $$_1H^2, _2He^4, _{26}Fe^{56}, _{92}U^{235}$$.

A
-0.0024

B
-0.0012

C
0.0012

D
0.0024
Question 5
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The binding energy of $$\alpha$$-particle $$\begin{array} { l } { 4 } \\ { 2 } \end{array}He$$ is $$7.047$$ $$MeV$$ per nucleon and the binding energy of deutron $$\begin{array} { l } { 2} \\ { 1 } \end{array}H$$ is $$1.112$$ $$MeV$$ per nucleon. Then in the fusion reaction $$_ { 1 } ^ { 2 } H + _ { 1 } ^ { 2 } H \rightarrow _ { 2 } ^ { 4 } H e + Q$$, the energy $$Q$$ released is

A
$$23.74 \mathrm { MeV }$$

B
$$32.82 \mathrm { MeV }$$

C
$$11.9 MeV$$

D
$$4.94 \mathrm { MeV }$$

Solution
Question 6
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Two radioactive nuclei P and Q in a given sample decay into a stable nucleus R. At time t = 0, number of P species are $$4 N_o$$ and that of Q are $$N_o$$. Half-life of P (for conversion to R) is 1 minute where as that of Q is 2 minutes. Initially there are no nuclei of R present in the sample. When number of nuclei of P and Q are equal, the number of nuclei of
R present in the sample would be :-

A
$$\dfrac{9 N_o}{2}$$

B
$$\dfrac{ 7N_o}{2}$$

C
$$\dfrac{N_o}{4}$$

D
$$\dfrac{9 N_o}{4}$$

Solution
Question 7
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The binding energy per nucleon for $$O^{16}$$ and $$O^{17}$$ are respectively 7.99 MeV and 7.95 MeV. The energy required to remove one neutron from the nucleus of $$O^{17}$$ expressed in MeV is

A
7.31

B
4.23

C
7.13

D
15.94
Question 8
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A nucleus of atomic mass M emits a gamma ray photon of frequency v. then

A
Kinetic energy acquired by nucleus $$= \frac { h ^ { 2 } v ^ { 2 } } { 2 M c ^ { 2 } }$$

B
Loss in the internal energy of the nucleus $$h v \left( 1 + \frac { h v } { 2 M c ^ { 2 } } \right)$$

C
Momentum of nucleus is equal and opposite to $$\gamma$$ ray photon

D
Loss in internal energy of nucleus is hv

Solution

Hence, option $$(A)$$ is correct answer.
Question 9
1 / -0

If the nucleus is seen as a cubical box of length $$10^{-14}\ m$$, then compute the minimum energy of a nucleon confined to the nucleus. Mass of nucleon=$$1.6\times 10^{-27}\ Kg$$

A
$$10\ MeV$$

B
$$10\ KeV$$

C
$$6\ MeV$$

D
$$6\ KeV$$

Solution
Question 10
1 / -0

Ratio of binding energy of a satellite revolving few metre above the earth's surface and same satellite rest on earth is

A
1 : 2

B
2 : 1

C
1 : 4

D
1 : 1

Solution