question_answer

At a given place where acceleration due to gravity is \[g\,m/{{s}^{2}},\] a sphere of lead of density \[d\,kg/{{m}^{3}}\] is getting released in a column of liquid of density\[\text{ }\!\!\!\!\text{ }\text{ }\!\!\!\!\text{ }\] \[kg\,/{{m}^{3}}\]. If \[d>\rho ,\] the sphere will

A)  fall vertically with an acceleration \[g\,m/{{s}^{2}}\]

B)  fall vertically with no acceleration

C)  fall vertically with an acceleration\[\left( \frac{d-\rho }{d} \right)\]

D)  fall vertically with an acceleration\[\left( \frac{\rho }{d} \right)\]