Mass Energy Equivalence

Q.

1u is equal to

1. 931.48 MeV

2. 1.67 kg

3. th mass of

4. 1 dalton

Q. Law of conservation of mass is not correct for and why?
(a) radioactive charge (b) oxidation (c) hydrolysis (d) None of these

Q.

Potassium crystallises in BCC unit cell . Mass of 1 unit cell is

Q. What is the loss in mass during the change: ${}_{3}L{i}^7{+}_1{H}^1\to 2{}_{2}H{e}^4+17.25MeV$

1. 0.285 amu
2. 0.385 amu
3. 0.225 amu
4. 0.185 amu

Q. In a nuclear fusion, the masses of the fusing nuclei are $m_1$ and $m_2$. The mass of the fused nuclei $m$, would have the realtion: $m$$m_1$ $m_2$

1. =
2. <
3. >
4. +

Q.

The actual molecular mass of chlorine is :

1. $58.93\times {10}^{-24}g$
2. $117.86\times {10}^{-24}kg$
3. $117.86\times {10}^{-24}g$
4. $58.93\times {10}^{-24}kg$

Q.

For the reaction $H_2\left(g\right)+\frac{1}{2}{O}_2\left(g\right)\to H_{2}O\left(l\right),\Delta H=-285.8kJmo{l}^{-1}\Delta S=-0.163kJmo{l}^{-1}{K}^{-1}$. What is the value of free energy change ${27}^{\circ }C$ for the reaction.

1. 

2. 

3. 

4. 

Q. For a nuclear reaction, the mass defect is 0.00859 amu. Calculate the energy released in MeV.

1. 6
2. 9
3. 4
4. 8

Q. A patient undergoing treatment for thyroid cancer receives a dose of radioactive iodine $\left({}^{131}I\right)$, which has a half-life of $8.05$ days. If the original dose contained $12mg$ of ${}^{131}I$, calculate the mass of ${}^{131}I$ remains after $16.1$ days?

1. $9mg$
2. $3mg$
3. $2mg$
4. $6mg$

Q. Calculate the energy released in MeV in the following nuclear reaction :
${}_1^2\text{H}{+}_1^2\text{H}{\to }_2^3\text{He}{+}_0^1\text{n}$
Assume that the masses of ${}_1^2\text{H},{}_2^3\text{He}$ and neutron (n) respectively are 2.020, 3.0160 and 1.0087 in amu.

1. $14.25$ MeV
2. $1.425$ MeV
3. $142.5$ MeV
4. $1425$ MeV

Q. Given are three different stages of an ancient and deadly two-body system: the bow and the arrow. If m represents the mass of the 'bow-arrow system', how can you compare the different cases?

1. $m_1=m_2=m_3$
2. $m_1$<$m_2=m_3$
3. $m_1$>$m_2=m_3$
4. $m_1$ < $m_2$ < $m_3$

Q. Match the atomic numbers given in column I with the block in which the element is placed in column II and mark the appropriate choice.

Column I (Atomic Number)	Column II (Block)
(A) 62	(i) d-block
(B) 47	(ii) p-block
(C) 56	(iii) f-block
(D) 53	(iv) s-block

1. (A) $\to$ (iii), (B) $\to$ (i), (C) $\to$ (iv), (D) $\to$ (ii)
2. (A) $\to$ (i), (B) $\to$ (ii), (C) $\to$ (iii), (D) $\to$ (iv)
3. (A) $\to$ (ii), (B) $\to$ (iv), (C) $\to$ (i), (D) $\to$ (iii)
4. (A) $\to$ (iv), (B) $\to$ (i), (C) $\to$ (ii), (D) $\to$ (iii)

Q. There is a stream of neutrons with a kinetic energy of 0.0327eV. If the half-life of neutrons is 700 second, the percentage fraction of neutron will decay before they travel a distance of 10 km is (multiply answer by 20).

Q. If I completely annihilate a hair of your body that has a mass of $1\mu g$ then how much energy will I get in the process.

1. $9\times {10}^{10}J$
2. $8\times {10}^{10}J$
3. $9\times {10}^{12}J$
4. $8\times {10}^{6}J$

Q. The reaction between ${{Cr}_2{O}_7}^{2-}$ and $HN{O}_2$ in an acidic medium is:
${{Cr}_2{O}_7}^{2-}+5H^{+}+3HN{O}_2\to 2{Cr}^{3+}+3N{O_3}^{-}+4H_{2}O$
The rate of disappearance of ${Cr}_2{O_7}^{2-}$ is found to be $2.4\times {10}^{-4}$ $mol$ $L^{-1}$ $s^{-1}$ during a measured time interval. Find the rate of disappearance of $HN{O}_2$ and the rate of appearance of ${Cr}^{3+}$ during this time interval.

Q. An atomic number of the four elements $A,B,C$ and $D$ are respectively $Z^{-},Z,Z^{+}$ and $Z^{+2}$. If Z =$9$, what is the type of bonding between $A$ and $D$?

1. Dative
2. Covalent
3. None of these
4. Ionic

Q. If in a nuclear fusion process the masses of the fusing nuclei be $m_1$ and $m_2$ and the mass of the resultant nucleus be $m_3$, then:

1. $m_3=|m_1-m_2|$
2. $m_3>(m_1+m_2)$
3. $m_3<(m_1+m_2)$
4. $m_3=m_1+m2$

Q. Give the relationship between $K_P\&K_C$.

Q. A nucleus ${}_Z^{A}X$ has mass represented by $M(A,Z)$. If $M_p$ and $M_n$ denote the mass of proton and neutron respectively and B.E. the binding energy in MeV, then:

1. $B.E=[Z{M}_p+(A-Z)M_n-M(A,Z)]c^2$
2. $B.E=[Z{M}_p+A{M}_n-M(A,Z)]c^2$
3. $B.E=M(A,Z)ZMp(A-Z)M_n$
4. $B.E=[M(A,Z)-Z{M}_p-(A-Z)M_n]c^2$

Q. The minimum energy (numerical value) required to be supplied to H-atom to push its electron from 2nd orbit to the 3rd orbit is:

1. 1.9 eV
2. 2.2 eV
3. 2.7 eV
4. 7.0 eV

Q. In a nuclear fusion, the masses of the fusing nuclei are $m_1$ and $m_2$. The mass of the fused nuclei $m$, would have the realtion: $m$$m_1$ $m_2$

1. =
2. <
3. >
4. +

Q.

Estimate the average bond energy in SF₆. The standard heat of formation of SF₆, S F are -110, 275 and 80 kJ/mol respectively.

Q. In a reaction carried out at 500 K, 0.001% of the total number of collisions are effective. The energy of activation of the reaction is approximate:

1. 15.8 kcal $mo{l}^{-1}$
2. 11.5 kcal $mo{l}^{-1}$
3. 12.8 kcal $mo{l}^{-1}$
4. zero

Q. Which of the following statement is (are) correct ?

1. At lower temperature increase in temperature causes more change in the value of k.
2. Rate of reaction $\propto 1/E_a$
3. None is correct
4. $k=A{e}^{E_a/RT}$

Q. An atom has $26$ electrons and its atomic weight is $56$. The number of neutrons in the nucleus of the atom will be:

1. $26$
2. $30$
3. $36$
4. $56$

Q. ${}_7^{14}Ca{+}_2^{4}He{⟶}_8^{17}O{+}_1^{1}H$

1. $\beta ,p$
2. $\alpha ,p$
3. $\alpha ,n$
4. none of these

Q. ${{}_{90}Th}^{232}⟶{{}_{82}Pb}^{208}$. The number of $\alpha$ and $\beta$- particles emitted during the above reaction is:

1. $8\alpha$ and $4\beta$
2. $8\alpha$ and $16\beta$
3. $4\alpha$ and $2\beta$
4. $6\alpha$ and $4\beta$

Q. Sample containing ${}_{88}^{234}Ra$, which decays by $\alpha -$particle emission, is observed to disintegrate at the following rate expressed as counts per minute (cpm). Calculate half-life of this nuclide. $t=0,1000cpm;t=1h,992cpm;t=10h,924cpm;t=100h,452cpm;t=250h,138cpm$.