Home
Class 12
PHYSICS
The ratio of the speed of sound in nitro...

The ratio of the speed of sound in nitrogen gas to that in helium gas, at 300K is

A

(a)`sqrt(((2)/(7)))`

B

(b)`sqrt(((1)/(7)))`

C

(c)`sqrt((3))/(5)`

D

(d)`sqrt(6)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
`because V_(sound) = sqrt((gammaRT)/(M_(W)))`
`therefore (V_(N_(2)))/(V_(He)) = sqrt((gamma_(N_(2)))/(M_(N_(2)))xx (M_(He))/(gamma_(He))) = sqrt((7)/(5) xx (1)/(28) xx (4)/(1) xx (3)/(5))= sqrt(3)/(5)`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE - 05 (B) (MCQ)|9 Videos

  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE - 05 (B) (MATCH THE COLUMN)|3 Videos

  • GEOMETRICAL OPTICS

    ALLEN |Exercise EXERCISE - 05 (A)|73 Videos

  • CURRENT ELECTRICITY

    ALLEN |Exercise EX.II|66 Videos

  • GRAVITATION

    ALLEN |Exercise EXERCISE 4|9 Videos

Similar Questions

Explore conceptually related problems

Two monoatomic ideal gases 1 and 2 of molecular masses m_(1) and m_(2) respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas 1 to that in gas 2 is given by

Write equation of speed of sound wave in ideal gas.

The equation for the speed of sound in a gas states that v=sqrt(gammak_(B)T//m) . Where,Speed v is measured in m/s, gamma is a dimensionless constant, T is temperature in kelvin (K), and m is mass in kg. Find the SI units for the Boltzmann constant, k_(B) ?

If c is rms speed of molecules in a gas and v is the speed of sound waves in the gas, show that (c)/(v) is constant and independent of temperature for all diatomic gases.

The ratio of work done by an ideal diatomic gas to the heat supplied by the gas in an isobatic process is

A source of sound of frequency 600 Hz is placed inside water. The speed of sound in water is 1500 m//s and in air it is 300 m//s . The frequency of sounds recorded by an observer who is standing in air is :-

A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300K. The ratio of the average rorational kinetic energy per O_2 molecules to that per N_2 molecules is

In a vessel, whose volume is 1l , there is a gas, which is a compound of oxygen and nitrogen. Mass of gas is 1g, gas's temperature is 17_(0)C and pressure of the gas is 31.7 k P.a . Determine the chemical formula of compound of (R=8.31 J//mol -K) :-

Let speed of sound waves in hydrogen gas at room temperature is v_(0) . What will be the speed of sound waves in a room which contains an equimolar mixture of hydrogen and 'He' at same temperature :-

ALLEN -GEOMETRICAL OPTICS-EXERCISE - 05 (B)
  1. Two cylinders A and B fitted with pistons contain equal amounts of an ...

    Text Solution

    |

  2. A black body is at a temperature of 2800K The energy of radiation emit...

    Text Solution

    |

  3. The ratio of the speed of sound in nitrogen gas to that in helium gas,...

    Text Solution

    |

  4. A gas mixture consists of 2 moles of oxygen and 4 moles of argon at te...

    Text Solution

    |

  5. A monoatomic ideal gas, initially at temperature T1, is enclosed in a ...

    Text Solution

    |

  6. The plots of intensity versus wavelength for three black bodies at tem...

    Text Solution

    |

  7. A block of ice at -10^@C is slowly heated and converted to steam at 10...

    Text Solution

    |

  8. Starting with the same initial conditions, an ideal gas expands from v...

    Text Solution

    |

  9. An ideal gas is initially at temperature T and volume V. Its volume is...

    Text Solution

    |

  10. Two monoatomic ideal gases 1 and 2 of molecular masses m(1) and m(2) r...

    Text Solution

    |

  11. Three rods made of the same material and having the same cross-section...

    Text Solution

    |

  12. In a given process on an ideal gas, dW=0 and dQ is negative, then for ...

    Text Solution

    |

  13. P-V plots for two gases during adiabatic processes are shown in the fi...

    Text Solution

    |

  14. An ideal gas is taken through the cycle AtoBtoCtoA, as shown in the fi...

    Text Solution

    |

  15. Which of the following graphs correctly represents the variation of be...

    Text Solution

    |

  16. An ideal Black-body at room temperature is thrown into a furnace. It i...

    Text Solution

    |

  17. The graph, shown in the adjacent diagram, represents the variation of ...

    Text Solution

    |

  18. Two rods, one of aluminium and other made of steel, having initial len...

    Text Solution

    |

  19. The PT diagram for an ideal gas is shown in the figure, where AC is an...

    Text Solution

    |

  20. 2kg of ice at 20^@C is mixed with 5kg of water at 20^@C in an insulati...

    Text Solution

    |