A body floats in a liquid contained in a beaker. The whole system as shown falls freely under gravity. The upthrust on the body due to the liquid is
IIT 1982, Medium
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(a)Upthrust $ = V{\rho _{{\rm{liquid}}}}(g - a)$
where, $a = $ downward acceleration,
$V = $ volume of liquid displaced
But for free fall $ a = g $ $\therefore $ $Upthrust = 0$
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