On average,how many neutrons are released from the fission of a single $U^{235}$ nucleus?

Explain an example in which heat transfer is necessary.

In the options given below, let $E$ denote the rest mass energy of a nucleus and $n$ a neutron. The correct option is:

Energy released in the fission of a single ${ }_{92} U^{235}$ nucleus is $200 \ MeV$. The fission rate of a ${ }_{92} U^{235}$ fuelled reactor operating at a power level of $32 \ kW$ is:

According to classical physics,$10^{-15} \ m$ is the distance of closest approach $(d_c)$ for fusion to occur between two protons. $A$ more accurate quantum approach states that $d_c = \frac{\lambda_p}{\sqrt{2}}$,where $\lambda_p$ is the de Broglie wavelength of a proton when they were far apart. Using this quantum approach,find the equation for the temperature $(T_c)$ at the center of a star. [Given: $M_p$ is the mass of the proton,$k$ is the Boltzmann constant,$e$ is the elementary charge]

Statement $1$: Energy is released during the fission of heavy nuclei or the fusion of light nuclei.
Statement $2$: Binding energy per nucleon increases with an increase in $Z$ for heavy nuclei,whereas it decreases with an increase in $Z$ for light nuclei.