AP EAMCET · PHYSICS · Mechanical Properties of Fluids
An object of mass \(10 \mathrm{~kg}\) is released from rest in a liquid. If the object moves a distance of \(2 \mathrm{~m}\) while sinking in time duration of \(1 \mathrm{~s}\), then the mass of the liquid displaced by the submerged object is
\(\left(\right.\) Acceleration due to gravity \(=10 \mathrm{~m} \mathrm{~s}^{-2}\) )
- A \(5 \mathrm{~kg}\)
- B \(6 \mathrm{~kg}\)
- C \(3 \mathrm{~kg}\)
- D \(4 \mathrm{~kg}\)
Answer & Solution
Correct Answer
(B) \(6 \mathrm{~kg}\)
Step-by-step Solution
Detailed explanation
We have, \(\mathrm{S}=\frac{1}{2} \mathrm{at}^2 \Rightarrow 2=\frac{1}{2} \times \mathrm{a} \times 1^2 \Rightarrow \mathrm{a}=4 \mathrm{~m} / \mathrm{s}^2\) Now, \(m g-F_B=m a\) \(F_B=m g-m a=10 \times 10-10 \times 4=60 N\) \(=6 \mathrm{~kg}\) weight So, mass of liquid displaced…
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