Properties of Matter 2 Question 9
9. 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 is
$(1982,3 M)$
(a) zero
(b) equal to the weight of liquid displaced
(c) equal to the weight of the body in air
(d) equal to the weight of the immersed portion of the body
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Answer:
Correct Answer: 9. $(a, b, d)$
Solution:
- In a freely falling system $g _{\text {eff }}=0$ and since,
$$ \text { Upthrust }=V _i \rho _L g _{\text {eff }} $$
$\left(V _i=\right.$ immersed volume, $\rho _L=$ density of liquid $)$
$$ \therefore \quad \text { Upthrust }=0 $$
