A drinking straw is dipped in a pan of water to depth d from the surface (see figure below). Now water is sucked into it up to an initial height $h_0$ and then left to oscillate. As a result, its height $y$ from the surface of the water varies periodically. Ignoring damping, the equation for $y$ is ( $g$ is the acceleration due to gravity):
A drinking straw is dipped in a pan of water to depth d from the surface (see figure below). Now water is sucked into it up to an initial height $h_0$ and then left to oscillate. As a result, its height $y$ from the surface of the water varies periodically. Ignoring damping, the equation for $y$ is ( $g$ is the acceleration due to gravity):
- [KVPY 2021]
- A
$\ddot{y}+\frac{g}{d} y=0$
- B
$\ddot{y}(y+d)+\frac{g}{d}(y+d)=0$
- C
$\ddot{y}+\frac{\dot{y}^2}{d}+\frac{g}{d}(y+d)=0$
- D
$\ddot{ y }+( y + d )+\dot{ y }^2+ gy =0$
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