Energetics of Nuclear Fission

Q. In the given radioactive disintegration series,
${}_{92}^{235}U{\to }_{82}^{207}Pb$
Calculate the difference between the number of $\alpha$ and $\beta$ particles emitted in this series.

Q. The following figure represents the liquid drop model of nuclear fission. The energies of these states are $E_1,E_{2}and{E}_3$ respectively. Which option is correct?

1. $E_1>E_2>E_3$
2. $E_1>E_2<E_3$
3. $E_1<E_2>E_3$
4. $E_1<E_2<E_3$

Q. The following figure represents the liquid drop model of nuclear fission. The energies of these states are $E_1,E_{2}and{E}_3$ respectively. Which option is correct?

1. $E_1>E_2>E_3$
2. $E_1>E_2<E_3$
3. $E_1<E_2>E_3$
4. $E_1<E_2<E_3$

Q. A heavier unstable nucleus breaks into two fragments of comparable mass in a nuclear fission reaction and energy is released because:

1. The total rest mass energy of the two fragments is less than the rest mass energy of the heavy nucleus.
2. The binding energy per nucleon of the two fragments is more than the binding energy per nucleon of the heavy nucleus.
3. The nuclei of the fragments are more bound than the nucleus of the parent.
4. NONE OF THE ABOVE

Q. Statement I: Nuclear fission is not a spontaneous process as the energy is required to be supplied to it to reach the intermediate state before breaking up into two fragments.
Statement II: The energy of the intermediate state is higher than the initial energy of the parent nucleus.

1. Both the statements are correct and statement II infers to statement I
2. Both the statements are correct but statement II doesn’t infer to statement I
3. Statement I is correct but statement II is incorrect
4. Statement II is correct but statement I is incorrect

Q. Assume a hypothetical nuclear fission reaction:
$X\to Y+Z$
If the atomic masses of $X,YandZ$ are respectively $x,yandz$ calculate the maximum amount of heat generated if 1gramof X undergoes fission. Consider the molar mass of X to be M.

1. $\frac{N_A}{M}\times (y-z-x)c^{2}units$
2. $\frac{N_A}{M}\times (x-y-z)c^{2}units$
3. $\frac{N_A}{M}\times (x-y+z)c^{2}units$
4. $M\times (x-y-z)c^{2}units$