Question Detail

PHY 104 PHY 104 Past Questions Objective Question

Question

The frequency of a car horn is 400 Hz. What frequency is observed if the car moves with speed 30 m/s toward a stationary receiver? Take velocity of sound in air to be 340 m/s.
Options
A 499 Hz
B 439 Hz
Correct Answer
C 409 Hz
D 493 Hz
Correct Answer

Option B is the correct answer.

Detailed Explanation

For a moving source and stationary observer, the observed frequency is f' = f * v / (v - v_s). Here f = 400 Hz, v = 340 m/s, v_s = 30 m/s. f' = 400 * 340 / (340 - 30) = 400 * 340 / 310 = 438.7 Hz ≈ 439 Hz.

Hint

Use the Doppler effect formula for a moving source.

Question Info