A solid sphere rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of sphere, then passes through over a solid cylinder and then is connected to block of mass $M$ as shown in figure. If the system is released from rest then the speed acquired by block after it has fallen through distance $h$ is
A solid sphere rotates about a vertical axis on frictionless bearing. A massless cord passes around the equator of sphere, then passes through over a solid cylinder and then is connected to block of mass $M$ as shown in figure. If the system is released from rest then the speed acquired by block after it has fallen through distance $h$ is
- A
$\sqrt {\frac{{10gh}}{9}} $
- B
$\sqrt {\frac{{20gh}}{19}} $
- C
$\sqrt {\frac{{15gh}}{139}} $
- D
$\sqrt {\frac{{18gh}}{159}} $
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