fluid doubts... from vmc modules... please help 2

A spherical small ball of density p is gently released in a liquid of density ∂ (p > ∂ ) . The initial acceleration of the free fall of the ball will be :

a) p + ∂p g

b)p - ∂∂ g

c)p - ∂p g

d)g

the answer given is c

1 Answers

49
Subhomoy Bakshi ·

let volume be V

weight downwards=pVg
upthrust upwards=∂Vg

net force downwards=(p-∂)Vg

acceleration downwards=forcemass=(p-∂)Vg∂V=p-∂p.g

hence C

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