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JEE Mains · Physics · STD 11 - 11. thermodynamics

The pressure \(P_{1}\) and density \(d_{1}\) of diatomic gas \(\left(\gamma=\frac{7}{5}\right)\) changes suddenly to \(P _{2}\left(> P _{1}\right)\) and \(d _{2}\) respectively during an adiabatic process. The temperature of the gas increases and becomes \(......\) times of its initial temperature.\(\left(\right.\) given \(\left.\frac{ d _{2}}{ d _{1}}=32\right)\)

  1. A \(5\)
  2. B \(2\)
  3. C \(4\)
  4. D \(0\)
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Answer & Solution

Correct Answer

(C) \(4\)

Step-by-step Solution

Detailed explanation

\(PV ^{\gamma}=\) const \(\quad d =\frac{ m }{ v }\) \(p \left(\frac{ m }{ d }\right)^{\gamma}=\) const \(\frac{ p }{ d ^{\gamma}}=\) const \(\quad \frac{ d _{2}}{ d _{1}}=32\)…
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