Question Detail

PHY 104 Wave and sound Objective Question

Question

For an ideal gas, how is the speed of sound primarily dependent on temperature (T)?
Options
A Directly proportional to T
B Inversely proportional to T
C Directly proportional to √T
Correct Answer
D Inversely proportional to √T
Correct Answer

Option C is the correct answer.

Detailed Explanation

On page 14, in the section 'In an ideal gas,' the formula for the speed of sound is given as 'v = √(γRT/M)'. This clearly shows that v is directly proportional to the square root of temperature (√T). The text further simplifies this to 'v = 20.04√T' for air.

Hint

Locate the formula for the speed of sound in an ideal gas and observe the relationship with temperature.

Question Info