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Four molecules of a gas are having speed of 1, 4, 8 and 16 ms-1. The root mean square velocity of the gas molecules is
Select one:
Select one:
- a)9.2 ms-1
- b)52.56 ms-1
- c)84.25 ms-1
- d)7.25 ms-1
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Four molecules of a gas are having speed of 1, 4, 8 and 16 ms-1.The ro...
Root mean square speed, 
= 9.2 ms-1
The correct answer is: 9.2 ms-1
= 9.2 ms-1
The correct answer is: 9.2 ms-1
Most Upvoted Answer
Four molecules of a gas are having speed of 1, 4, 8 and 16 ms-1.The ro...
The root mean square (rms) velocity of gas molecules is a measure of the average kinetic energy of the molecules in a gas sample. It is calculated using the formula:
v_rms = √((v₁² + v₂² + v₃² + ... + vₙ²) / n)
where v₁, v₂, v₃, ..., vₙ are the velocities of individual gas molecules and n is the total number of gas molecules.
In this case, we are given the velocities of four gas molecules: 1 m/s, 4 m/s, 8 m/s, and 16 m/s.
Let's substitute these values into the formula:
v_rms = √((1² + 4² + 8² + 16²) / 4)
Simplifying the equation:
v_rms = √((1 + 16 + 64 + 256) / 4)
= √(337 / 4)
≈ √84.25
≈ 9.2 m/s
Therefore, the root mean square velocity of the gas molecules is approximately 9.2 m/s.
So, option A, 9.2 m/s, is the correct answer.
v_rms = √((v₁² + v₂² + v₃² + ... + vₙ²) / n)
where v₁, v₂, v₃, ..., vₙ are the velocities of individual gas molecules and n is the total number of gas molecules.
In this case, we are given the velocities of four gas molecules: 1 m/s, 4 m/s, 8 m/s, and 16 m/s.
Let's substitute these values into the formula:
v_rms = √((1² + 4² + 8² + 16²) / 4)
Simplifying the equation:
v_rms = √((1 + 16 + 64 + 256) / 4)
= √(337 / 4)
≈ √84.25
≈ 9.2 m/s
Therefore, the root mean square velocity of the gas molecules is approximately 9.2 m/s.
So, option A, 9.2 m/s, is the correct answer.
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Four molecules of a gas are having speed of 1, 4, 8 and 16 ms-1.The root mean square velocity of the gas molecules isSelect one:a)9.2 ms-1b)52.56 ms-1c)84.25ms-1d)7.25 ms-1Correct answer is option 'A'. Can you explain this answer?
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Four molecules of a gas are having speed of 1, 4, 8 and 16 ms-1.The root mean square velocity of the gas molecules isSelect one:a)9.2 ms-1b)52.56 ms-1c)84.25ms-1d)7.25 ms-1Correct answer is option 'A'. 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 Four molecules of a gas are having speed of 1, 4, 8 and 16 ms-1.The root mean square velocity of the gas molecules isSelect one:a)9.2 ms-1b)52.56 ms-1c)84.25ms-1d)7.25 ms-1Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four molecules of a gas are having speed of 1, 4, 8 and 16 ms-1.The root mean square velocity of the gas molecules isSelect one:a)9.2 ms-1b)52.56 ms-1c)84.25ms-1d)7.25 ms-1Correct answer is option 'A'. Can you explain this answer?.
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Four molecules of a gas are having speed of 1, 4, 8 and 16 ms-1.The root mean square velocity of the gas molecules isSelect one:a)9.2 ms-1b)52.56 ms-1c)84.25ms-1d)7.25 ms-1Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Four molecules of a gas are having speed of 1, 4, 8 and 16 ms-1.The root mean square velocity of the gas molecules isSelect one:a)9.2 ms-1b)52.56 ms-1c)84.25ms-1d)7.25 ms-1Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Four molecules of a gas are having speed of 1, 4, 8 and 16 ms-1.The root mean square velocity of the gas molecules isSelect one:a)9.2 ms-1b)52.56 ms-1c)84.25ms-1d)7.25 ms-1Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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