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 gt rho`, the sphere will

Options

A. fall vertically with an acceleration ` gms ^( -2 ) `
B. fall vertically with no acceleration
C. fall vertically with an acceleration ` g ( (d - rho ) / ( d )) `
D. fall vertically with an acceleration ` g ( ( rho )/ ( d )) `

Answer

C

Explanation

Apparent weight = Actual weight - up thrust
` vdg' = vdg - veg, g' ( ( d - e ) /( d )) g `