Home
Class 12
PHYSICS
A vessel is partitioned in two equal hal...

A vessel is partitioned in two equal halves by a fixed diathermic separator. Two different ideal gases ae filled in left (L) and right (R) halves the rms speed of the molecules in L part is equal to the mean speed of moleucles in the R equal to the ratio of the mass of a molecules in L part to that of a molecules in R part is

A

`sqrt((3)/(2))`

B

`sqrt(pi//4)`

C

`sqrt(2//3)`

D

`3pi//8`

Text Solution

Verified by Experts

The correct Answer is:
D
`(V_("rms"))_(L) = (V_("avg"))R sqrt((3RT)/(M_(1))) = sqrt((8RT)/(piM_(2))) implies (M_(1))/(M_(2)) = (3pi)/(8)`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE -03|11 Videos

  • GEOMETRICAL OPTICS

    ALLEN |Exercise ASSERTION-REASON|40 Videos

  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE -01|65 Videos

  • CURRENT ELECTRICITY

    ALLEN |Exercise EX.II|66 Videos

  • GRAVITATION

    ALLEN |Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

Two particles of equal mass 'm' go around a circle of radius R under the action of their mutual gravitaitonal attraction. The speed of each particle with respect to their centre of a mass is -

Two particles of equal mass m move around a circle of radius R under the influence of their mutual gravitational attraction, the speed of each particle with respect to their center of mass will be ..........

Three closed vessels A, B and C are at the same temperature T and contain gases which obey the Maxwellian distribution of velocities. Vessel A contains only O_(2), B only N_(2) and C a mixture of equal quantities of O_(2) and N_(2) . If the average speed of the O_(2) molecules in vessel A is V_(1) , that of the N_(2) molecules in vessel B is V_(2) , the average speed of the O_(2) molecules in vessel C is (where M is the mass of an oxygen molecules)

Two particles of equal mass (m) each move in a circle of radius (r) under the action of their mutual gravitational attraction find the speed of each particle.

A container with insulating walls is divided into two equal parts by a partition fitted with a valve. One part is filled with an ideal gas at a pressure P and temperature T, whereas the other part is completely evacuated . If the valve is suddenly opened, the pressure and temperature of the gas will be

A flask contains argon and chlorine in the ratio of 2:1 by mass. The temperature of the mixture is 27^(@)C . Obtain the ratio of (i) average kinetic energy per molecule, and (ii) root mean square speed v_("rms") of the molecules of the two gases. Atomic mass of argon =39.9 u, Molecular mass of chlorine = 70.9 u.

Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains neon (monatomic), the second contains chlorine (diatomic). and the third contains uranium hexafluoride (polyatomic). Do the vessels contain equal number of respective molecules ? Is the root mean square speed of molecules the same in the three cases? If not, in which case is v_("rms") the largest ?

A wooden wheel of radius R is made of two semicircular part . The two parts are held together by a ring made of a metal strip of cross sectional area S and length L. L is slightly less than 2piR . To fit the ring on the wheel, it is heated so that its temperature rises by DeltaT and it just steps over the wheel. As it cools down to surrounding temperature, it process the semicircle parts together. If the coefficient of linear expansion of the metal is alpha , and it Young's modulus is Y, the force that one part of the wheel applies on the other part is :

Two uniform solid spheres of equal radii R, but mass M and 4 M have a center to centre separation 6 R, as shown in figure. The two spheres are held fixed. A projectile of mass m is projected from the surface of the sphere of mass M directly towards the centre of the second sphere. Obtain an expression for the minimum speed v of the projectile so that it reaches the surface of the second sphere.

A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4y from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then, R is equal to

ALLEN -GEOMETRICAL OPTICS-EXERCISE -02
  1. When unit mass of water boils to become steam at 100^(@)C, it absorbs ...

    Text Solution

    |

  2. N molecules, each of mass m of gas A and 2 N molecules each of mass 2m...

    Text Solution

    |

  3. A vessel is partitioned in two equal halves by a fixed diathermic sepa...

    Text Solution

    |

  4. A closed vessel contains a mixture of two diatomic gases A and B. Mola...

    Text Solution

    |

  5. N (lt 100) molecules of a gas have velocities 1,2,3….N km/s respective...

    Text Solution

    |

  6. Let barv,v(rms) and vp respectively denote the mean speed. Root mean s...

    Text Solution

    |

  7. The following are the P-V diagrams for cyclic processes for a gas. In ...

    Text Solution

    |

  8. The internal energy of a system remains constant when it undergoes (...

    Text Solution

    |

  9. C(p) is always greater than C(V) due to the fact that:-

    Text Solution

    |

  10. An ideal gas is heated from termperature T(1) to T(2) under various co...

    Text Solution

    |

  11. The indicator diagram for two processes 1 and 2 carrying on an ideal g...

    Text Solution

    |

  12. An ideal monoatomic gas undergoes a cyclic process ABCA as shown in th...

    Text Solution

    |

  13. Logarithms of readings of pressure and volume for an ideal gas were pl...

    Text Solution

    |

  14. A thermodynamic system undergoes cyclic process ABCDA as shown in figu...

    Text Solution

    |

  15. A thermally insulated chamber of volume 2V(0) is divided by a friction...

    Text Solution

    |

  16. One mole of an ideal monoatomaic gas is taken from A to C along the pa...

    Text Solution

    |

  17. The thermal capacity of 40 g of aluminium (specific heat =0.2 cal//gm^...

    Text Solution

    |

  18. Two cylinders A and B fitted with pistons contain equal amounts of an ...

    Text Solution

    |

  19. One mole of an ideal gas at an initial temperature of TK does 6R joul...

    Text Solution

    |

  20. One mole of a diatomic ideal gas undergoes a cyclic process ABC as sho...

    Text Solution

    |