Tag: nuclei

Questions Related to nuclei

In the nuclear reaction : $X(n, \alpha) _3 Li ^7$ the term X will be 3

  1. $ _5{B}^{10}$

  2. $ _5{B}^{9}$

  3. $ _5{B}^{11}$

  4. $ _2{He}^{4}$


Correct Option: B

The energy equivalent to $1kg$ of matter in (in Joule)

  1. $10^{17}$

  2. $19^{20}$

  3. $10^{11}$

  4. $10^{14}$


Correct Option: A
Explanation:

Einstein mass -energy relation : $E=mc^2=1\times (3\times 10^8)^2=9\times 10^{16} \sim 10^{17}$ J

$1$ $a.m.u$ is equivalent to 

  1. $931$ $MeV$

  2. $139$ $MeV$

  3. $93$ $MeV$

  4. $39$ $MeV$


Correct Option: A
Explanation:

$m=1\ a.m.u.=1.66\times10^{-27}kg$

Its energy equivalent, using $E=mc^2$ is $E=1.49\times10^{-10}\ J$.
or $E=1.49\times10^{-10}/1.6\times10^{-13}\ MeV=931\ MeV$

The binding energy per nucleon of deuteron $ \left( \frac { 2 }{ 1 }  H \right)  $ and helium nucleus $ \left( \frac { 4 }{ 2 } He \right)  $ is.1.1 meV and 7 meV respectively. If two deuteron nuclei react to from s single helium nucleus, then the energy released is:

  1. 13.9 MeV

  2. 26.9 MeV

  3. 23.6 MeV

  4. 19.2 MeV


Correct Option: C

The energy equivalent to a substance of mass $1$g is?

  1. $18\times 10^{13}$J

  2. $9\times 10^{13}$J

  3. $18\times 10^6$J

  4. $9\times 10^6$J


Correct Option: B
Explanation:

$E=mC^2$

$=1\times 10^{-3}\times 9\times 10^{16}$
$=9\times 10^{13}$J

The binding energy expressed in $MeV$ is given for the following nuclear reactions :
$ _2He^3+\ _0n^1\rightarrow\ _2He^4+20\ MeV$
$ _2He^4+\ _0n^1 \rightarrow\ _2He^5 -0.9\ MeV$
Which of the following conclusions are correct ?

  1. $ _2He^4$ is less stable than both $ _2He^3$ and $ _2He^5$

  2. $ _2He^4$ is less stable than $ _2He^3$ but more stable than $$ _2He^5$

  3. $ _2He^4$ is less stable than $ _2He^5$ but more stable than $$ _2He^3$

  4. $ _2 He^4$ is more stable than both $ _2He^3$ and $ _2He^5$


Correct Option: D

An electron and a positron are moving side by side in the positive $x-$direction at $1.5\times 10^8\ m/s$. When they annihilate each other, two photons are produced that move along the $x-$axis, then : 

  1. both move in positive $x-$direction

  2. both move in positive direction along $x-$axis

  3. both may move in same direction

  4. both $(a)$ and $(c)$ are correct


Correct Option: B

In nuclear reaction
$ _{2}He^{4}+\ _{Z}X^{A}\rightarrow Z+\  _{2}\gamma^{A+3}+\ _{Z}M^{A}$
where $M$ denotes

  1. electron

  2. positron

  3. proton

  4. neutron


Correct Option: D

One milligram of matter converted into energy will give:

  1. $90\ J$

  2. $9\times 10^{3}\ J$

  3. $9\times 10^{10}\ J$

  4. $9\times 10^{3}\ J$


Correct Option: C

A parent nucleus $^{m} _{1}p$ decays into a daughter nucleus $D$ through $\alpha$ emission in the following way $^{m} _{1}p\rightarrow D+\alpha$ The subscript and superscript on the daughter nucleus $D$ will be written as

  1. $^{m} _{n}D$

  2. $^{m+4} _{n}D$

  3. $^{m-4} _{n}D$

  4. $^{m-4} _{n-2}D$


Correct Option: D