Вопрос
1. A listener is at rest and the source is moving toward him at 30ms^-1 , what is the frequency as heard by the listener?The frequency and speed of the sound is 200Hz and 332ms^-1 [218.87 2. A source is at rest and the listener is moving toward it at 30ms^-1 as heard by the listener?The frequency and speed of the sound is 200 Hz and 332ms^-1 . [218.07 Hz] 3. A source and a listener are moving toward each other with a velocity of 30ms^-1 and 20ms^-1 respectively. What is the frequency as heard by the listener? The frequency and speed of the sound is 200Hz and 332ms^-1cdot [233.11Hz] 4. A source and a listener are moving in same direction with a velocity of 30ms^-1 and respectively; consider listener is following the source. What is the frequency as heard by the listener? The frequency and speed of the sound is 200Hz and 332ms^-1 [206.12 Hz]
Решения
4.3
(266 Голоса)
Геннадий
Экспертная проверка
профессионал · Репетитор 6 лет
Ответ
1. The correct answer is 218.87 Hz. The Doppler effect formula for a source moving towards a stationary listener is given by:f' = f * (c + v) / cwhere f' is the frequency heard by the listener, f is the original frequency, c is the speed of sound, and v is the velocity of the source. Plugging in the given values, we get:f' = 200 * (332 + 30) / 332 = 218.87 Hz2. The correct answer is 218.07 Hz. The Doppler effect formula for a listener moving towards a stationary source is given by:f' = f * (c + v) / c' is the frequency heard by the listener, f is the original frequency, c is the speed of sound, and v is the velocity of the listener. Plugging in the given values, we get:f' = 200 * (332 + 30) / 332 = 218.07 Hz3. The correct answer is 233.11 Hz. The Doppler effect formula for both the source and listener moving towards each other is given by:f' = f * (c + v1 + v2) / cwhere f' is the frequency heard by the listener, f is the original frequency, c is the speed of sound, and v1 and v2 are the velocities of the source and listener respectively. Plugging in the given values, we get:f' = 200 * (332 + 30 + 20) / 332 = 233.11 Hz4. The correct answer is 206.12 Hz. The Doppler effect formula for both the source and listener moving in the same direction is given by:f' = f * (c - v) / cwhere f' is the frequency heard by the listener, f is the original frequency, c is the speed of sound, and v is the velocity of the source. Plugging in the given values, we get:f' = 200 * (332 - 30) / 332 = 206.12 Hz