JEE Main · PhysicsEasy
- A.$\sqrt{2RT/M}$
- B.$\sqrt{3RT/M}$
- C.$\sqrt{8RT/\pi M}$
- D.$\sqrt{RT/M}$
Show correct answer & step-by-step solution
Correct answer: B — $\sqrt{3RT/M}$
Solution
The root mean square speed of an ideal gas is defined as the square root of the mean of the squares of the speeds of the molecules, which simplifies to the formula .
Attempt this question & track your score
Sign up free to answer, get instant scoring, and let SolveGini track which Physics topics you need to revise.
Attempt & Track Free →More Kinetic Theory of Gases practice questions
- According to the kinetic theory of gases, the average kinetic energy of a gas molecule is directly proportional to which
- What is the value of the degrees of freedom for a monoatomic gas molecule?
- At what temperature will the root mean square speed of oxygen molecules be double its value at 27 degrees Celsius?
- Which of the following assumptions is made in the kinetic theory of ideal gases?
- Two identical containers contain helium and neon gas respectively at the same temperature and pressure. The ratio of the
- A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature T. Neglecting vibrational modes, the tot
- The mean free path of gas molecules depends on the diameter d of the molecules as
- If the pressure of an ideal gas is doubled and the volume is halved, the temperature of the gas will
- The ratio of the adiabatic exponent gamma for a mixture of 1 mole of a monatomic gas and 2 moles of a diatomic gas is
- A mixture of two ideal gases with adiabatic exponents gamma1 and gamma2 and mole fractions x1 and x2 is kept in a contai
- A vessel contains a gas at pressure P and temperature T. If the gas is replaced by another gas of molecular weight twice
- Consider a gas of particles with mass m in a gravitational field g. The number density n(h) at height h follows the Bolt