WBJEE · Physics · Mechanical Properties of Fluids
An object weighs \(\mathrm{m}_1\) in a liquid of density \(\mathrm{d}_1\) and that in liquid of density \(\mathrm{d}_2\) is \(\mathrm{m}_2\). The density \(d\) of the object is
- A \(\mathrm{d}=\frac{\mathrm{m}_2 \mathrm{~d}_2-\mathrm{m}_1 \mathrm{~d}_1}{\mathrm{~m}_2-\mathrm{m}_1}\)
- B \(d=\frac{\mathrm{m}_1 \mathrm{~d}_1-\mathrm{m}_2 \mathrm{~d}_2}{\mathrm{~m}_2-\mathrm{m}_1}\)
- C \(\mathrm{d}=\frac{\mathrm{m}_2 \mathrm{~d}_1-\mathrm{m}_1 \mathrm{~d}_2}{\mathrm{~m}_1-\mathrm{m}_2}\)
- D \(\mathrm{d}=\frac{\mathrm{m}_1 \mathrm{~d}_2-\mathrm{m}_2 \mathrm{~d}_1}{\mathrm{~m}_1-\mathrm{m}_2}\)
Answer & Solution
Correct Answer
(D) \(\mathrm{d}=\frac{\mathrm{m}_1 \mathrm{~d}_2-\mathrm{m}_2 \mathrm{~d}_1}{\mathrm{~m}_1-\mathrm{m}_2}\)
Step-by-step Solution
Detailed explanation
Hints: \(V\left(d-d_1\right) g=m_1 g\) \(\mathrm{V}\left(\mathrm{d}-\mathrm{d}_2\right) \mathrm{g}=\mathrm{m}_2 \mathrm{~g}\)…
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