KCET · Physics · Mechanical Properties of Fluids
A body weighs \(50 \mathrm{~g}\) in air and \(40 \mathrm{~g}\) in water. How much would it weigh in a liquid of specific gravity \(1.5\) ?
- A \(30 \mathrm{~g}\)
- B \(35 \mathrm{~g}\)
- C \(65 \mathrm{~g}\)
- D \(45 \mathrm{~g}\)
Answer & Solution
Correct Answer
(B) \(35 \mathrm{~g}\)
Step-by-step Solution
Detailed explanation
\(\frac{\sigma_{\mathrm{L}}}{\sigma_{\mathrm{W}}}=\frac{\text { upthrust on body in liquid }}{\text { upthrust on body in water }}\)
\(\frac{1.5}{1} =\frac{\mathrm{x}}{[50-40] g}\)
\(\Rightarrow \mathrm{x} =15 \mathrm{~g}\)
\(\therefore\) upthrust on body in liquid \(=15 \mathrm{~g}\)
Weight of the body \(=50 \mathrm{~g}\)
Hence, body will weigh \((50-15)=35 \mathrm{~g}\) in the liquid.
\(\frac{1.5}{1} =\frac{\mathrm{x}}{[50-40] g}\)
\(\Rightarrow \mathrm{x} =15 \mathrm{~g}\)
\(\therefore\) upthrust on body in liquid \(=15 \mathrm{~g}\)
Weight of the body \(=50 \mathrm{~g}\)
Hence, body will weigh \((50-15)=35 \mathrm{~g}\) in the liquid.
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