## Various Speeds - MCQ - Basic Level

Physics is an important subject in preparation for various Competitive exams. To keep a track of your preparation we have designed a small quiz of Basic Level Questions on Various Speeds. You have 10 minutes to solve the quiz, click the start timer button in order to start the timer and then click on submit button at the end to submit the quiz and view your scores and correct answers.

Q1. For a gas at temperature T the root-mean square velocity Î½rms, the most probable speed Î½mp, and the average speed Î½aÎ½ obey the relationship

•  Î½aÎ½ > Î½rms > Î½mp
•  Î½rms > Î½aÎ½ > Î½mp
•  Î½mp > Î½aÎ½ > Î½rms
•  Î½mp > Î½rms > Î½aÎ½

Î½rms > Î½aÎ½ > Î½mp

Q2. The rms speed of gas molecules is given by

•  2.5√(RT/M)
•  1.73√(RT/M)
•  2.5√(M/RT)
•  1.73√(M/RT)

1.73√(RT/M)

Q3. At a given temperature if Vrms is the root mean square velocity of the molecules of a gas and Vs the velocity of sound in it, then these are related as ( Î³ = Cp/CÎ½ )

•  Vrms = Vs
•  Vrms = √(3/Î³) x Vs
•  Vrms = √(Î³/3) x Vs
•  Vrms = (3/Î³) x Vs

Vrms = √(3/Î³) x Vs

Q4. On any planet, the presence of atmosphere implies (Crms = root mean square velocity of molecules and Ve = escape velocity)

•  Crms << Ve
•  Crms > Ve
•  Crms = Ve
•  Crms = 0

Crms << Ve

Q5. To what temperature should the hydrogen at room temperature (27°C) be heated at constant pressure so that the rms velocity of its molecules become double of its previous value

•  1200 °C
•  927 °C
•  600 °C
•  108 °C

927 °C

Q6. At a given temperature the ratio of rms velocities of hydrogen molecule and helium atom will be

•  √2:1
•  1:√2
•  1:2
•  2:1

√2:1

Q7. If the molecular weight of two gases are M1 and M2, then at a temperature the ratio of root mean square velocity v1 and v2 will be

•  √(M1/M2)
•  √(M2/M1)
•  √(M1 + M2/M1 - M2)
•  √(M1 - M2/M1 + M2)

√(M2/M1)

Q8. According to the kinetic theory of gases, at absolute temperature

•  Water freezes
•  Liquid helium freezes
•  Molecular motion stops
•  Liquid hydrogen freezes

Molecular motion stops

Q9. The temperature of an ideal gas is increased from 27°C to 927°C. The root mean square speed of its molecules becomes

•  77°C
•  350°C
•  273°C
•  457°C

77°C

Q10. The root mean square velocity of a gas molecule of mass m at a given temperature is proportional to

•  m0
•  m
•  √m
•  1/√m

m0

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