TS EAMCET · Physics · Mechanical Properties of Fluids
An insulated cylindrical vessel filled with an insulated piston of negligible weight and negligible thickness at the mid point of the vessel. The cylinder contains a gas at \(0^{\circ} \mathrm{C}\). When the gas is heated to \(100^{\circ} \mathrm{C}\), the piston moves through a length of \(5 \mathrm{~cm}\). Length of the cylindrical vessel in \(\mathrm{cm}\) is
- A \(13.65\)
- B \(27.3\)
- C \(38.6\)
- D \(64.6\)
Answer & Solution
Correct Answer
(B) \(27.3\)
Step-by-step Solution
Detailed explanation
According to question, \(\begin{array}{rlrl} & \therefore & \frac{273}{L / 2} & =\frac{373}{(L / 2)+5} \\ \Rightarrow & 273\left(\frac{L}{2}+5\right) & =373\left(\frac{L}{2}\right)\end{array}\) or \(\quad 273 \times 5=100\left(\frac{L}{2}\right)\) or \(L=27.3 \mathrm{~cm}\)
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