What is the total resistance of the circuit shown above?
1 answer:
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The wavelength of the sound wave is equal to 0.333 m. Therefore, option (c) is correct.
<h3>What are frequency and wavelength?</h3>The frequency of the wave can be defined as the number of oscillations that occur in one second and can be expressed in hertz. The wavelength can be defined as the distance between the two adjacent points of a wave such as two crests or troughs.
The relationship between frequency (ν), speed of sound waves (V), and wavelength (λ):
V = νλ
Given, the frequency of the sound wave, ν = 10 Hz
The speed of the sound wave,
The wavelength of the sound waves can determine as follows
λ = V/ν = 340/1020 = 0.333 m.
Therefore, the wavelength of the sound wave is 0.333 m
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The spring is initially stretched, and the mass released from rest (v=0). The next time the speed becomes zero again is when the spring is fully compressed, and the mass is on the opposite side of the spring with respect to its equilibrium position, after a time t=0.100 s. This corresponds to half oscillation of the system. Therefore, the period of a full oscillation of the system is
Which means that the frequency is
and the angular frequency is
In a spring-mass system, the maximum velocity of the object is given by
where A is the amplitude of the oscillation. In our problem, the amplitude of the motion corresponds to the initial displacement of the object (A=0.500 m), therefore the maximum velocity is
Which means that the frequency is
and the angular frequency is
In a spring-mass system, the maximum velocity of the object is given by
where A is the amplitude of the oscillation. In our problem, the amplitude of the motion corresponds to the initial displacement of the object (A=0.500 m), therefore the maximum velocity is