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What is the ratio between most probable speed , average speed and root mean square speed ? 1) 1 : 5 : 6.7 2) 1.4 : 3.28 : 6.54 3) 1.229 : 1.555 : 1 4) 1 : 1.128 : 1.224?
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What is the ratio between most probable speed , average speed and root...
Option d..i.e.=√2RT/M:√8RT/πM:√3RT/M .=√2:√8/π:√3.=1.414:1.596:1.732.=1:1.128:1.224.
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What is the ratio between most probable speed , average speed and root...
Ratio between Most Probable Speed, Average Speed, and Root Mean Square Speed
- Most Probable Speed: The most probable speed is the speed at which the greatest number of particles in a gas move. It is given by the formula \(v_{mp} = \sqrt{\dfrac{2RT}{M}}\), where R is the gas constant, T is the temperature, and M is the molar mass of the gas.
- Average Speed: The average speed of gas particles is the mean of the speeds of all the particles. It is calculated by finding the arithmetic mean of the speeds of all the particles in the gas.
- Root Mean Square Speed: The root mean square speed of gas particles is the square root of the average of the squares of the speeds of all the particles. It is given by the formula \(v_{rms} = \sqrt{\dfrac{3RT}{M}}\).
Now, let's calculate the ratio between these speeds for the given options:
1) Ratio 1 : 5 : 6.7
- Most Probable Speed : Average Speed : Root Mean Square Speed = 1 : 5 : 6.7
2) Ratio 1.4 : 3.28 : 6.54
- Most Probable Speed : Average Speed : Root Mean Square Speed = 1.4 : 3.28 : 6.54
3) Ratio 1.229 : 1.555 : 1
- Most Probable Speed : Average Speed : Root Mean Square Speed = 1.229 : 1.555 : 1
4) Ratio 1 : 1.128 : 1.224
- Most Probable Speed : Average Speed : Root Mean Square Speed = 1 : 1.128 : 1.224
Therefore, the correct ratio between most probable speed, average speed, and root mean square speed depends on the specific values provided in the options.
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What is the ratio between most probable speed , average speed and root mean square speed ? 1) 1 : 5 : 6.7 2) 1.4 : 3.28 : 6.54 3) 1.229 : 1.555 : 1 4) 1 : 1.128 : 1.224?
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What is the ratio between most probable speed , average speed and root mean square speed ? 1) 1 : 5 : 6.7 2) 1.4 : 3.28 : 6.54 3) 1.229 : 1.555 : 1 4) 1 : 1.128 : 1.224? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about What is the ratio between most probable speed , average speed and root mean square speed ? 1) 1 : 5 : 6.7 2) 1.4 : 3.28 : 6.54 3) 1.229 : 1.555 : 1 4) 1 : 1.128 : 1.224? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the ratio between most probable speed , average speed and root mean square speed ? 1) 1 : 5 : 6.7 2) 1.4 : 3.28 : 6.54 3) 1.229 : 1.555 : 1 4) 1 : 1.128 : 1.224?.
What is the ratio between most probable speed , average speed and root mean square speed ? 1) 1 : 5 : 6.7 2) 1.4 : 3.28 : 6.54 3) 1.229 : 1.555 : 1 4) 1 : 1.128 : 1.224? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about What is the ratio between most probable speed , average speed and root mean square speed ? 1) 1 : 5 : 6.7 2) 1.4 : 3.28 : 6.54 3) 1.229 : 1.555 : 1 4) 1 : 1.128 : 1.224? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the ratio between most probable speed , average speed and root mean square speed ? 1) 1 : 5 : 6.7 2) 1.4 : 3.28 : 6.54 3) 1.229 : 1.555 : 1 4) 1 : 1.128 : 1.224?.
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