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In a Maxwellian gas, if Vrmsis the root means square velocity, then the most probable velocity vmp in terms of vrms is.
Correct answer is '0.8165'. Can you explain this answer?
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In a Maxwellian gas, if Vrmsis the root means square velocity, then th...
We know that 
and
vmp = 0.8165 vrms
The correct answer is: 0.8165
and
vmp = 0.8165 vrms
The correct answer is: 0.8165
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In a Maxwellian gas, if Vrmsis the root means square velocity, then th...
Explanation:
Most Probable Velocity (vmp):
- The most probable velocity (vmp) of a Maxwellian gas distribution is given by the peak of the velocity distribution curve.
- It is the velocity at which the highest number of gas molecules have that particular velocity.
Root Mean Square Velocity (Vrms):
- The root mean square velocity (Vrms) is a measure of the average speed of gas molecules in a gas sample.
Relationship between vmp and Vrms:
- The relationship between vmp and Vrms is given by the formula vmp = √2/√π * Vrms.
- This formula relates the most probable velocity to the root mean square velocity in a Maxwellian gas distribution.
Calculation:
- Given that Vrms = 1, we can plug this value into the formula to find vmp.
- vmp = √2/√π * 1
- vmp = 0.8165
Therefore, the most probable velocity vmp in terms of Vrms is 0.8165. This value represents the peak velocity of the gas molecules in a Maxwellian gas distribution.
Most Probable Velocity (vmp):
- The most probable velocity (vmp) of a Maxwellian gas distribution is given by the peak of the velocity distribution curve.
- It is the velocity at which the highest number of gas molecules have that particular velocity.
Root Mean Square Velocity (Vrms):
- The root mean square velocity (Vrms) is a measure of the average speed of gas molecules in a gas sample.
Relationship between vmp and Vrms:
- The relationship between vmp and Vrms is given by the formula vmp = √2/√π * Vrms.
- This formula relates the most probable velocity to the root mean square velocity in a Maxwellian gas distribution.
Calculation:
- Given that Vrms = 1, we can plug this value into the formula to find vmp.
- vmp = √2/√π * 1
- vmp = 0.8165
Therefore, the most probable velocity vmp in terms of Vrms is 0.8165. This value represents the peak velocity of the gas molecules in a Maxwellian gas distribution.
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In a Maxwellian gas, if Vrmsis the root means square velocity, then the most probable velocityvmpin terms of vrmsis.Correct answer is '0.8165'. Can you explain this answer?
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In a Maxwellian gas, if Vrmsis the root means square velocity, then the most probable velocityvmpin terms of vrmsis.Correct answer is '0.8165'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about In a Maxwellian gas, if Vrmsis the root means square velocity, then the most probable velocityvmpin terms of vrmsis.Correct answer is '0.8165'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a Maxwellian gas, if Vrmsis the root means square velocity, then the most probable velocityvmpin terms of vrmsis.Correct answer is '0.8165'. Can you explain this answer?.
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