TS EAMCET · Physics · Thermodynamics
A \(500 \Omega\) resistor connected to an external battery is placed inside a thermally insulated cylinder fitted with a frictionless piston. The cylinder contains an ideal gas. A current \(i\) of \(200 \mathrm{~mA}\) flows through the resistor as shown in the figure. The mass of the piston is \(10 \mathrm{~kg}\). Assuming \(g=10 \mathrm{~m} / \mathrm{s}^2\), the speed at which the piston will move upward, due to heat dissipated by the resistor, so that the temperature of the gas remains unchanged is
- A \(10 \mathrm{~cm} / \mathrm{s}\)
- B \(15 \mathrm{~cm} / \mathrm{s}\)
- C \(20 \mathrm{~cm} / \mathrm{s}\)
- D \(30 \mathrm{~cm} / \mathrm{s}\)
Answer & Solution
Correct Answer
(C) \(20 \mathrm{~cm} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
As, temperature of gas remains constant, heat supplied by resistance \(=\) piston work…
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