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7.Gravitation
medium
At a given place where acceleration due to gravity is $‘g’$ $m/{\sec ^2}$, a sphere of lead of density $‘d’$ $kg/{m^3}$ is gently released in a column of liquid of density $'\rho '\;kg/{m^3}$. If $d > \rho $, the sphere will
A
Fall vertically with an acceleration $‘g’$ $m/{\sec ^2}$
B
Fall vertically with no acceleration
C
Fall vertically with an acceleration $g\,\left( {\frac{{d - \rho }}{d}} \right)$
D
Fall vertically with an acceleration $g\,\left( {\frac{\rho }{d}} \right)$
Solution
(c) Apparent weight = actual weight -upthrust force
$Vdg' = Vdg – V\rho g$
==> $g' = \left( {\frac{{d – \rho }}{d}} \right)\;g$
Standard 11
Physics
