Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainPhysicsKinetic Theory of Gases

The average translational kinetic energy of N molecules in a gas is E₁ . The kinetic energy of the electron (e) accelerated from rest through potential difference V volt is E₂ . The temperature at which E₁=E₂ possible is ( R= gas constant, N= number of molecules)

Options

  1. A3 V N e 2 R
  2. BV N e 2 R
  3. CV N e 3 R
  4. D2 V N e 3 R

Correct answer

D. 2 V N e 3 R

Step-by-step solution

The average translational KE of a gas molecule is 3 2 ( R N ) T=E₁ The KE of an electron accelerated from rest through a potential difference V is given by, e V=E₂ If E₁=E₂ aligned & 3 2 ( R N ) T^ =E₂ & T^ = 2 N E₂ 3 R = 2 N V e 3 R aligned

Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

If 2 mole of an ideal monoatomic gas at temperature T , is mixed with 6 mole of another ideal monoatomic gas at temperature 2T then the temperature of mixture is : 2026Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Statement I: Change in internal energy of a system containing n mole of ideal g 2026Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: If the average kinetic energy of H₂ and O₂ molecules, kept in two 2026One gas of n₁ mole of molecules at temperature T₁ , volume V₁ , and pressure P₁ , and another gas of n₂ mole of molecules at temperature T₂ , volume V₂ , and pressure P₂ , are mixe 2026A mixture of carbon dioxide and oxygen has volume 8310 cm ^3 , temperature 300 K, pressure 100 kPa and mass 13.2 g. The number of moles of carbon dioxide and oxygen gases in the mi 2026The mean free path of a molecule of diameter 5 10⁻¹⁰ ~m at the temperature 41^ C and pressure 1.38 10⁵ ~Pa , is given as _ _ _ _ m. (Given k_ B =1.38 10⁻²³ ~J / K ). 2026A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature 50^ C . The gas is now heated to double its temperature. The modified pressure is _ _ _ 2026Consider two boxes containing ideal gases A and B such that their temperatures, pressures and number densities are same. The molecular size of A is half of that of B and mass of mo 2026 Full Kinetic Theory of Gases list All 99 Percentile Qs Bank for JEE Main PYQs