When a force accelerates a body immersed in a fluid, some of the fluid must also be accelerated, since it must be pushed out of the way of the body, but also the inertia of the fluid pushed out of the way. It can be shown that for a spherical body completely immersed in a nonviscous fluid, the extra inertia is that of a mass of fluid half as large as the fluid displaced by the body. The acceleration of a small spherical air bubble in water is nearly

Options

A. zero
B. g
C. `g//2`
D. `2g`

Answer

D

Explanation

If m be the mass of water displaced, the buouant force is mg. while the mass of the extra water that has to be pushed "out of the way" is effectively `m//2`