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 $0 \leq x \leq a$, is ____ (Given: The true ground state energy of the above system is $\mathrm{h}^{2} / 8 \mathrm{ma}^{2} ; \int_{0}^{\mathrm{a}} \varphi^{*} \varphi \mathrm{d} \tau=\mathrm{a}^{5} / 30$ )
Answer
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