TS EAMCET · Physics · Kinetic Theory of Gases
In the figure, the chamber A contains a gas, movable chamber B is placed on the top of the gas and it contains \(\mathrm{n}\) metal balls. The weight of chamber B is supported by the gas. Chamber \(\mathrm{C}\) has vacuum. Let the gas be in equilibrium at pressure \(\mathrm{P}\). Let \(\mathrm{P}^{\prime}\) be the pressure if one of the balls is taken away. Find \(\left(\mathrm{P}-\mathrm{P}^{\prime}\right) / \mathrm{P}\).
- A 1
- B \(n\)
- C \(2 \mathrm{n}\)
- D \(1 / \mathrm{n}\)
Answer & Solution
Correct Answer
(D) \(1 / \mathrm{n}\)
Step-by-step Solution
Detailed explanation
\(P = \frac{n W_M}{A}\) \(P - P' = \frac{n W_M}{A} - \frac{(n-1) W_M}{A} = \frac{W_M}{A}\) \(\frac{P - P'}{P} = \frac{W_M / A}{n W_M / A} = \frac{1}{n}\)
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