Pressure versus temperature graph of an ideal gas from Class Physics Kinetic Theory

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NEET Physics : Kinetic Theory

Multiple Choice Questions

31.

Pressure versus temperature graph of an ideal gas is as shown in figure. Density of the gas at point  A is  ρ0  Density at point B will be

           

  • 34 ρ0

  • 32 ρ0

  • 43 ρ0

  • 0



32.

If at the same temperature and pressure, the densities of two diatomic gases are d1 and d, respectively, the ratio of mean kinetic energy per molecule of gases will be

  • 1 : 1

  • d1 : d2

  • d1 : d2

  • d2 : d1



33.

vrms , vav  and vmp are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?

  • vrms <  vav  < vmp

  • vrms > vav >  vmp

  • vmp > vrms > vav

  • vmp > vrms > vav



34.

A monoatomic gas supplied the heat Q very slowly keeping the pressure constant. The work done by the gas will be:

  • 23Q

  • 35Q

  • 25Q

  • 15Q



35.

The value of the gas constant (R) calculated from the perfect gas equation is 8.32 J/g mol-K, whereas its, value calculated from the knowledge of CP and Cv of the gas is 1.98 cal/g mol-K. From this data value of J is

  • 4.16 J/cal

  • 4.18 J/cal

  • 4.20 J/cal

  • 4.22 J/cal



36.

The velocities of sound at the same temperature in two monoatomic gases of densities ρ1 and  ρ2 and  ν1 and  ν2 respectively. If  ρ1 / ρ2 = 4, then the value of  ν1/ ν2  is

  • 1/4

  • 2

  • 1/2

  • 4



37.

The average velocity of the molecules in a gas in equilibrium is

  • proportional to T

  • proportional to T

  • proportional to T2

  • equal to zero



38.

Assertion:  The root mean square and most probable speeds of the molecules in a gas are the same. 

Reason:  The Maxwell distribution for the speed of molecules in a gas is symmetrical.

  • If both assertion and reason are true and reason is the correct explanation of the assertion

  • If both assertion and reason are true but reason is not the correct explanation of the assertion

  • If assertion is true, but reason is false

  • Both assertion and  reason are false statements



39.

Two balloons are filled, on with pure He gas and other by air, respectively. If the pressure and temperature of these balloons arc same then the number of molecules per unit volume is

  • more in the He filled balloon

  • same in both balloons

  • more in air filled balloon

  • in the ratio of 1 : 4



40.

When the temperature of an ideal gas is increased from 27°C to 227°C, its rms speed is changed from 400 metre/sec to vs. The vs is :

  • 516 m/s

  • 450 m/s

  • 310 m/s

  • 746 m/s



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