1
AIEEE 2009
MCQ (Single Correct Answer)
+4
-1
AIEEE 2009 Physics - Atoms and Nuclei Question 194 English

The above is a plot of binding energy per nucleon $${E_b},$$ against the nuclear mass $$M;A,B,C,D,E,F$$ correspond to different nuclei. Consider four reactions :
$$\eqalign{ & \left( i \right)\,\,\,\,\,\,\,\,\,\,A + B \to C + \varepsilon \,\,\,\,\,\,\,\,\,\,\left( {ii} \right)\,\,\,\,\,\,\,\,\,\,C \to A + B + \varepsilon \,\,\,\,\,\,\,\,\,\, \cr & \left( {iii} \right)\,\,\,\,\,\,D + E \to F + \varepsilon \,\,\,\,\,\,\,\,\,\,\left( {iv} \right)\,\,\,\,\,\,\,\,\,F \to D + E + \varepsilon ,\,\,\,\,\,\,\,\,\,\, \cr} $$

where $$\varepsilon $$ is the energy released? In which reactions is $$\varepsilon $$ positive?

A
$$(i)$$ and $$(iii)$$
B
$$(ii)$$ and $$(iv)$$
C
$$(ii)$$ and $$(iii)$$
D
$$(i)$$ and $$(iv)$$
2
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
This question contains Statement- 1 and Statement- 2. Of the four choices given after the statements, choose the one that best describes the two statements:
Statement- 1:
Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion and

Statement- 2:
For heavy nuclei, binding energy per nucleon increases with increasing $$Z$$ while for light nuclei it decreases with increasing $$Z.$$

A
Statement - $$1$$ is false, Statement - $$2$$ is true
B
Statement - $$1$$ is true, Statement - $$2$$ is true; Statement - $$2$$ is a correct explanation for Statement - $$1$$
C
Statement - $$1$$ is true, Statement - $$2$$ is true; Statement - $$2$$ is not a correct explanation for Statement - $$1$$
D
Statement - $$1$$ is true, Statement - $$2$$ is false
3
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
Suppose an electron is attracted towards the origin by a force $${k \over r}$$ where $$'k'$$ is a constant and $$'r'$$ is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the $${n^{th}}$$ orbital of the electron is found to be $$'{r_n}'$$ and the kinetic energy of the electron to be $$'{T_n}'.$$

Then which of the following is true?

A
$${T_n} \propto {1 \over {{n^2}}},{r_n} \propto {n^2}$$
B
$${T_n}$$ independent of $$n,{r_n} \propto n$$
C
$${T_n} \propto {1 \over n},{r_n} \propto n$$
D
$${T_n} \propto {1 \over n},{r_n} \propto {n^2}$$
4
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
If $${M_O}$$ is the mass of an oxygen isotope $${}_8{O^{17}}$$ , $${M_p}$$ and $${M_N}$$ are the masses of a proton and neutron respectively, the nuclear binding energy of the isotope is
A
$$\left( {{M_O} - 17{M_N}} \right){C^2}$$
B
$$\left( {{M_O} - 8{M_P}} \right){C^2}$$
C
$$\left( {{M_O} - 8{M_P} - 9{M_N}} \right){C^2}$$
D
$${{M_O}{c^2}}$$
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