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Six molecules speed 2 unit , 5 unit , 3u...

Six molecules speed 2 unit , 5 unit , 3unit, 6 unit, 3 unit , and 5unit , respectively . The rms speed is

A

4 unit

B

1.7 unit

C

4.2 unit

D

5 unit

Text Solution

Verified by Experts

The correct Answer is:
C

We have , `v_("rms")=sqrt((V_(1)^(2)+V_(2)^(2)+....+V_(n)^(2))/(n))`
`=sqrt((4+25+9+36+9+25)/(6))`
`sqrt((108)/(6))=sqrt(18)=3sqrt(2)=3xx1.414=4.242 ` unit
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-KINETIC THEORY OF GASES ANDRADIATION-Exercise 2
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  2. The pressure of a gas filled in a closed vessel increase by 0.4% when ...

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  3. One mole of gas occupies a volume of 200 mL at 100 mm pressure . What ...

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  4. For a real gas (van der Waal's gas)

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  5. Six molecules speed 2 unit , 5 unit , 3unit, 6 unit, 3 unit , and 5uni...

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  6. The root mean square velocity of gas molecules at 27^(@)C is 1365ms^(-...

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  7. If mass of He is 4 times that of hydrogen , then mean volocity of He i...

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  8. By what factor the rms velocity will change, if the temperature s rais...

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  9. If one mole of a monatomic gas (gamma=5/3) is mixed with one mole of a...

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  10. A bubble of 8 moles of helium is submerged at a certain depth in water...

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  11. Six moles of O(2) gas is heated from 20^(@)C to 35^(@)C at constant vo...

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  12. A black body at a high temperature T radiates energy at the rate of U ...

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

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  14. A container with insulating walls is divided into two equal parts by a...

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  15. If universal gas constant is R, the essential heat to increase from K ...

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  16. An ideal gas is expanding such that PT^(2)= constant. The coefficient ...

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  17. If the rms velocity of gas is v , then

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  18. A Carnot engine has the same efficiency between 800 K to 500 K and x K...

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  19. A constant temperature , the volume of a gas is to be decreased by 4 %...

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  20. A mass of dry air at NTP is compressed to (1)/(20)th of its original ...

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