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NEET · Physics · STD 11 - 12 . kinetic theory of gases

The temperature of a gas is \(-50^{\circ}\,C\). To what temperature the gas should be heated so that the rms speed is increased by \(3\) times?

  1. A \(223\,K\)
  2. B \(669^{\circ}\,C\)
  3. C \(3295^{\circ}\,C\)
  4. D \(3097\,K\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(3295^{\circ}\,C\)

Step-by-step Solution

Detailed explanation

\(v _{ rms } \propto \sqrt{ T }\) \(\frac{ v _1}{ v _2}=\sqrt{\frac{ T _1}{ T _2}}\)