If the temperature of the gas is doubled, then the velocity of sound will becomea)v2 = 2v1b)v2= andradic;2v1c)v1= 2v2d)v1= andradic;2v2Correct answer is option 'B'. Can you explain this answer?

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If the temperature of the gas is doubled, then the velocity of sound will become

a)
v₂ = 2v₁
b)
v₂ = √2v₁
c)
v₁ = 2v₂
d)
v₁ = √2v₂

Correct answer is option 'B'. Can you explain this answer?

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Verified Answer

If the temperature of the gas is doubled, then the velocity of sound w...

Concept:

Effect of temperature For one mole of gas, PV = RT. If M is the molecular weight of the gas, then,

Substituting the value of V in the gas equation, we have,

∴ v ∝ √T

Hence the velocity of sound in a gas is directly proportional to the square root of its absolute temperature.

Thus if V₁ and V₂ are the velocities of sound in gas at absolute temperatures T₁ and T₂ respectively, then,

Explanation:

Given;

Additional Information
The velocity of sound in a gas is given by :

It is interesting to compare this result with the r. m. s. speed of the molecules of a gas viz,

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If the temperature of the gas is doubled, then the velocity of sound will becomea)v2 = 2v1b)v2= √2v1c)v1= 2v2d)v1= √2v2Correct answer is option 'B'. Can you explain this answer?

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If the temperature of the gas is doubled, then the velocity of sound will becomea)v2 = 2v1b)v2= √2v1c)v1= 2v2d)v1= √2v2Correct answer is option 'B'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about If the temperature of the gas is doubled, then the velocity of sound will becomea)v2 = 2v1b)v2= √2v1c)v1= 2v2d)v1= √2v2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the temperature of the gas is doubled, then the velocity of sound will becomea)v2 = 2v1b)v2= √2v1c)v1= 2v2d)v1= √2v2Correct answer is option 'B'. Can you explain this answer?.

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