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प्रश्न
If the mass of all molecules of a gas is halved and their speeds doubled, then the ratio of initial and final pressures is ________.
पर्याय
2 : 1
1 : 2
4 : 1
1 : 4
MCQ
रिकाम्या जागा भरा
उत्तर
If the mass of all molecules of a gas is halved and their speeds doubled, then the ratio of initial and final pressures is 1 : 2.
Explanation:
P = `1/3 "Nm"/"V" "c"^2`
∴ P ∝ mc2
∴ `"P"/"P'" = ("mc"^2)/("m'" ("c'")^2)`
= `("mc"^2)/(("m"/2) (2"c")^2)`
= `1/2`
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