$(a)\;3.732\;amp \\(b)\;1.414\;amp \\ (c)\; 6.124\;amp \\ (d)\;5.123\;amp $

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given $I_{rms}=5.0\;amp$

$I_0=\sqrt 2 Ims$

$f= 50 cycles /sec,\qquad t= \large\frac{1}{300} \;sec$

$I= I_0 \sin wt$

$\quad= \sqrt 2 \times 50 \sin 2 \pi \times 50 \times \large\frac{1}{300}$

$\quad= \sqrt 2 \times 50 \times \sin \large\frac{\pi}{3}$

$\quad= 6.124 \;amp$

Hence c is the correct answer.

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