The % error (rounded off to two decimal places) in the ground state energy of a particle in a one dimensional box of length 'a' described by a trial variation function $\varphi = x(a - x)$, where $0 \le x \le a$, is ________ (Given: The true ground state energy of the above system is $h^2/8ma^2$; $\int_0^a \varphi^{*}\varphi\, d\tau = a^5/30$)
Answer
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