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]

• A
  $\frac{e^4 M_p}{24 \pi^2 \varepsilon_0^2 k h^2}$
• B
  $\frac{e^4 M_p}{12 \pi^2 \varepsilon_0^2 k h^2}$
• C
  $\frac{e^2 M_p}{24 \pi^2 \varepsilon_0^2 k h^2}$
• D
  $\frac{e^4 M_p}{6 \pi^2 \varepsilon_0^2 k h^2}$