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Two speakers are driven by the same oscillator with frequency of 200 Hz.
They are located 4 m apart on a vertical pole. A man walks straight towards
the lower speaker in a direction perpendicular to the pole, as shown in figure.
How many times will he hear a minimum in sound intensity, and (ii) how
far is he from the pole at these moments? Take the speed of sound to be
330 m/s, and ignore any sound reflections coming off the ground.
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Q1
Two speakers are driven by the same oscillator with frequency of 200 Hz. They are located 4 m apart on a vertical pole. A man walks straight towards the lower speaker in a direction perpendicular to the pole, as shown in figure. (Speed of sound =330 m/s)
How many times will he hear a minimum sound intensity?
How many times will he hear a minimum sound intensity?
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Q2
An oscillator of frequency 680 Hz drives two speakers. The speaker is fixed on a vertical pole at a distance of 3 m from each other as shown in the figure. A person whose height is almost the same as that of the lower speaker walks towards the lower speaker in a direction perpendicular to the pole. Assuming that there is no reflection of sound from the ground and the speed of sound is v = 340 m/s,
How far is the person from the pole when he hears a minimum in sound intensity a second time?
How far is the person from the pole when he hears a minimum in sound intensity a second time?
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Q3
An oscillator of frequency 680 Hz drives two speakers. The speakers are fixed on a vertical pole at a distance 3 m from each other as shown in figure. A person whose height is almost the same as that of the lower speaker walks towards the lower speaker in a direction perpendicular to the pole. Assuming that there is no reflection of sound from the ground and sound speed is v=340 m/s, choose the correct option(s):
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Q5
An oscillator of frequency 680 Hz drives two speakers. The speaker is fixed on a vertical pole at a distance of 3 m from each other as shown in the figure. A person whose height is almost the same as that of the lower speaker walks towards the lower speaker in a direction perpendicular to the pole. Assuming that there is no reflection of sound from the ground and the speed of sound is v = 340 m/s,
At some instant, when the person is at a distance 4 m from the pole, the wave function (at the person's location) that describe the waves coming from the lower speaker is $$y = A cos (kx - \omega t)$$, where A is the amplitude, $$\omega = 2\pi v$$ with v = 680 Hz (given) and k = $$2 \pi\lambda$$
Wave function ( at the person's location) that describes waves coming from the upper speaker can be expressed as:
At some instant, when the person is at a distance 4 m from the pole, the wave function (at the person's location) that describe the waves coming from the lower speaker is $$y = A cos (kx - \omega t)$$, where A is the amplitude, $$\omega = 2\pi v$$ with v = 680 Hz (given) and k = $$2 \pi\lambda$$
Wave function ( at the person's location) that describes waves coming from the upper speaker can be expressed as:
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