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The pressure exerted by the gas is direc...

The pressure exerted by the gas is directly proportional to 

A

Root mean square speed

B

Average speed

C

Mean square speed

D

All of these

Text Solution

Verified by Experts

The correct Answer is:
C
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According to kinetic theory of gas for given mass M of gas occupying volume V the pressure P is given P = ( 1M)/( 3V) C^(2) where C is r.m.s. velocity of gas. Then Column-I gives the conditions while Column-II gives dependence of pressure of gas. Match the correct options in two columm. {:("Column-I","Column-II"),("A) If volume and temperature of gas are constant. then pressure exerted by gas is","P) Proportional to mass"),("B) If mass and temperature of gas are constant, then pressure exerted by gas is","Q) Constant"),("C) If mass and volume of gas are constant, then","R) Inversely proportional to volume pressure exerted by gas is"),("D) For give~ mass of gas at constant temperature in metal container, then the pressure exerted by gas is","S) Proportional to absolute temperature of gas"):}

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Knowledge Check

  • Pressure exerted by a gas is

    A
    independent of desnity of the gas
    B
    inversely proportional of the density of the gas
    C
    directly proportional to the square of density of the gas
    D
    directly propotional to the density of the gas

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    A
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    B
    a, c
    C
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    D
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  • A machine delivers power to body which is proportional to instataneous velocity V of the body. If the body starts with a velocity which is almost negligible, then the distance covered by the body is directly proportional to V. Then find the value of n.

    A
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    B
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    C
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