$ a)\;\frac{aL}{2a} \\ b)\;\frac{gL}{2a} \\ c)\;\frac{gL}{a} \\d)\;\frac{aL}{g}$

The water surface while accelerated will lie as shown. with lines of constant pressure parallel to the surface.

Take an element of water between lines of constant pressure.

$A \Delta P \sin \theta =ma$-------(1)

$A \Delta P \cos \theta =mg$---------(2)

dividing (1) by (2)

$\tan \theta =\large\frac{a}{g}$

$\qquad=\large\frac{h}{L}$

$\therefore h=\large\frac{aL}{g}$

Hence d is the correct answer.

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