A stone is projected from a point on the ground so as to hit a bird on the top of a vertical pole of height $h$ and then attain a maximum height $2 h$ above the ground. If at the instant of projection the bird flies away horizontally with a uniform speed and if the stone hits the bird while descending, then the ratio of the speed of the bird to the horizontal speed of the stone is
A stone is projected from a point on the ground so as to hit a bird on the top of a vertical pole of height $h$ and then attain a maximum height $2 h$ above the ground. If at the instant of projection the bird flies away horizontally with a uniform speed and if the stone hits the bird while descending, then the ratio of the speed of the bird to the horizontal speed of the stone is
- A
$\frac{\sqrt{2}}{\sqrt{2}+1}$
- B
$\frac{\sqrt{2}}{\sqrt{2}-1}$
- C
$\frac{1}{\sqrt{2}}+\frac{1}{2}$
- D
$\frac{2}{\sqrt{2}+1}$
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