Assertion (A): A jet aircraft moving at Mach number equal to 1 travels faster at an altitude of 15 km than while moving at Mach number equal to 1 near the sea level. Reason (R): The velocity of sound depends on the temperature of the surrounding medium.
(A) Both (A) and (R) are true and (R) is the correct explanation of (A)
(B) Both (A) and (R) are true, but (R) is not the correct explanation of (A)
(C) (A) is true, but (R) is false
(D) (A) is false, but (R) is true
Important Facts
(A) is false: Mach 1 means the speed of sound (which is lower at altitude), so the aircraft is slower at 15 km. (R) is true: Sound speed depends on temperature, which decreases with altitude.
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Related Question Facts
The speed of sound is lower in colder atmospheres, such as at higher altitudes.
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