Discussion
Assertion (A): The speed of sound in air falls as an aircraft climbs through the troposphere.
Reason (R): The speed of sound in a perfect gas is proportional to the square root of the absolute temperature.
Select the correct answer from the options below.
Answer: C
Both statements are true and the second explains the first. Temperature falls steadily with altitude through the troposphere, and since the speed of sound follows its square root, the speed of sound falls with it. A jet holding a constant Mach number therefore has a lower true airspeed the higher it climbs.
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