A regular hexagonal lamina of side \( a \) is made up of perfectly absorbing material and is k...

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A regular hexagonal lamina of side \( a \) is made up of perfectly absorbing material and is kept in a region where a parallel beam of light of intensity \( I \) having a large aperture falls on it. If the normal to the area of the hexagon makes an angle of \( 30^{\circ} \) with the beam then the force experience by the hexagon will be \( \frac{n a^{2} I}{4 c} \), where \( n \) is an integer. Find \( n \).
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