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If C(1), C(2), C(3) ….. represent the sp...

If `C_(1), C_(2), C_(3) …..` represent the speeds on `n_(1), n_(2) , n_(3)…..` molecules, then the root mean square speed is

A

`[(n_(1) C_(1)^(2) + n_(2) C_(2)^(2) + n_(3) C_(3)^(2) + ....)/(n_(1) + n_(2) + n_(3) +.....)]^(1//2)`

B

`([n_(1) C_(1)^(2) + n_(2) C_(2)^(2) + n_(3) C_(3)^(2) + ....]^(1//2))/(n_(1) + n_(2) + n_(3) +.....)`

C

`((n_(1) C_(1)^(2))^(1//2))/(n_(1)) + ((n_(2) C_(2)^(2))^(1//2))/(n_(2)) + ((n_(3) C_(3)^(2))^(1//2))/(n_(3)) + ....`

D

`[((n_(1) C_(1) + n_(2) C_(2) + n_(3) C_(3) + ......)^(2))/((n_(1) + n_(2) + n_(3) + .....))]^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`r.m.s` velocity is square root of square of velocity possessed by different fraction of molecules.
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DINESH PUBLICATION-STATE OF MATTER (GASEOUS AND LIQUID STATE)-Selected straight objective types MCQs
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  2. A gas behave most like an Ideal gas under conditions of

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  4. The ratio between the root mean square speed of H(2) at 50 K and that ...

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  8. The rms velocity of hydrogen is sqrt7 times the rms velocity of nitrog...

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  9. The compressibility of a gas is less than unity at STP, therefore,

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  10. At 100^(@)C and 1 atm, if the density of the liquid water is 1.0 g cm^...

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  12. Which of the following volume-temperature (V-I) plots represents the b...

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  13. When the temperature is increased surface tension of water .

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  14. Positive deviation from ideal behaviour takes place because of

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  15. The root mean square speed of one mole of a monoatomic gas having mole...

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  16. The ratio of the rate of diffusion of helium and methane under indenti...

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  17. Dominance of strong repulsive forces among the molecules of the gas (Z...

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  18. The given graph represents the variations of compressibility factor Z=...

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