A bat emits a sound at a frequency of 30.0 kHz as it approaches a wall. The bat detects beats such that the frequency of the echo is

Question

A bat emits a sound at a frequency of 30.0 kHz as it approaches a wall. The bat detects beats such that the
frequency of the echo is 900 Hz higher than the frequency the bat is emitting. What is the speed of the bat? The
speed of sound in air is 340 m/s.

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Kim Cúc 3 years 2021-09-03T08:16:06+00:00 1 Answers 4 views 0

Answers ( )

  1. RuslanHeatt
    0
    2021-09-03T08:17:34+00:00
    Reply

    Answer:

    5.02 m/s

    Explanation:

    given,

    frequency of sound emitted by bat, f_1 = 30 kHz = 30000 Hz

    beat frequency detected  by batf_b = 900 Hz

    Speed of sound, v = 340 m/s

    f_b = f_1 -f_2

    900 = 30000-f_2

    f_2 = 30900

    Using Doppler’s effect formula

    f_2=f_1(\dfrac{v+v_b}{v-v_b})

    v_b = velocity\ of\ bat

    30900=30000(\dfrac{340+v_b}{340-v_b})

    1.03 =(\dfrac{340+v_b}{340-v_b})

    v_b = 5.02 m/s

    Hence, the speed of bat is equal to 5.02 m/s

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