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An opera singer in a convertible sings a note at 950 Hz while cruising down the highway at 88 km/h. The speed of sound in the air is 343 m/s. What is the apparent frequency heard by a stationary observer?

a) 905 Hz
b) 940 Hz
c) 965 Hz
d) 980 Hz

Answer :

To find the apparent frequency heard by a stationary observer when an opera singer sings at 950 Hz while moving in a convertible, use the Doppler Effect formula. Upon calculation, the apparent frequency is approximately (c.) 965 Hz

The apparent frequency heard by a stationary observer can be calculated using the Doppler effect formula:

Apparent Frequency = Source Frequency * (Speed of Sound / (Speed of Sound - Observer's Speed))

Plugging in the values given:

Apparent Frequency = 950 Hz * (343 m/s / (343 m/s - 88 km/h))

= 965 Hz

Therefore, the apparent frequency heard by a stationary observer is 965 Hz.

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