A beam of length \( l \), breadth \( b \) and depth \( d \) supported at its end is loaded at th...

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A beam of length \( l \), breadth \( b \) and depth \( d \) supported at its end is loaded at the centre by a load of weight \( w \). If Young's modulus of beam is \( Y \), then sagging of beam will be
(a) \( \frac{w d^{3}}{4 b l^{3} Y} \)
(b) \( \frac{w l^{3}}{4 b^{3} d Y} \)
(c) \( \frac{w l^{3}}{4 b d^{3} Y} \)
(d) \( \frac{w b^{3}}{4 l^{3} d Y} \)
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