A thin infinite sheet charge and an infi...

A thin infinite sheet charge and an infinite line charge of respective charge densities +sigma and +lambda are placed parallel at `5 m` distance from each other . points 'P' and 'Q' are at `3/pi m` and `4/pi` perpendicular distances of line charge towards sheet charge ,towards sheet charge , respectively. `E_p` and `E_Q` are the magnitdes of resultant electric field intensities at point 'P' and 'Q', respectively . If `E_P/E_Q=4/a ` for 2|sigma|=|lambda |, then the value of a is ____.

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