Consider a particle with

$=\frac{\sqrt[\phantom{2}]{2m(V_0-E)}}{}$

tunneling through a barrier of width $L,$ where $L1.$ If the $E$ of the particle and the height of the barrier are doubled, but the width of the barrier stays the same, how does the transmission probability change?

$($a$)$ it stays the same

$($b$)$ increases

$($c$)$ decreases