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A small solid ball of density rho is hel...

A small solid ball of density `rho` is held inside at point A of a cubical container of side L, filled with an ideal liquid of density `4rho` as shown in the figure. Now, if the container starts moving with constant acceleration a horizontally and the ball is released from point A simultaneously, then choose from following the correct option(s)

Text Solution

Verified by Experts

Acceleration of the ball in y direction will be ` a_(y) = (4 rho Vg - rho Vg)/(rho V) = 3g`
For the ball to hit the top of the container
` L/2 = 1/2 3"gt"^(2) rArr t - sqrt(L/(3g))`
In the frame of container , along the container
`( 4 delta _(a)-deltav_(a))/(deltav) = 3a, 1/2 3at^(2) = L `
`rArr a = 2g `
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