# For proton and electron of identical energy encounter same potential

For proton and electron of identical energy encounter same potential barrier .For which probability of transmission greatest?

You can see a decent treatment of the problem on Wikipedia. Take a look at the form of the transmission coefficient T for the case $E<V_0$. If you choose $k_1$ such that $\sin(k_1 a) = 0$ then the transmission coefficient will be 1. $k_1$ depends on the mass of the particle and the difference between the height of the barrier and the energy of the particle.