A body floats in a liquid contained in a beaker. The whole system as shown in figure falls freely under gravity. The upthrust on the body due to the liquid is:

Options

A. Zero
B. Equal to the weight of the liquid displaced
C. Equal to the weight of the body in air
D. Equal to the weight of the immersed portion of the body

Answer

A

Explanation

volume equality gives
` rArr 2 xx 3 = (1)/(2) xx h xx 3 rArr h = 4 m `
` rArr tan theta = ( 4 )/(3) = (a)/(g) rArr a = (4)/(3) g `