A girl, standing 150m in front of a tall building, fires a shot using a starting pistol. A boy, standing
1 answer:
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Answer:
31.831 Hz.
Explanation:
<u>Given:</u>
The vertical displacement of a wave is given in generalized form as
<em>where</em>,
- A = amplitude of the displacement of the wave.
- k = wave number of the wave =
= wavelength of the wave.
- x = horizontal displacement of the wave.
= angular frequency of the wave =
.
- f = frequency of the wave.
- t = time at which the displacement is calculated.
On comparing the generalized equation with the given equation of the displacement of the wave, we get,
therefore,
It is the required frequency of the wave.
Answer:
(a): emf =
(b): Amplitude of alternating voltage = 20.942 Volts.
Explanation:
<u>Given:</u>
- Area of the coil = A.
- Number of turns of coil = N.
- Magnetic field = B
- Rotation frequency = f.
(a):
The magnetic flux through the coil is given by
where,
= area vector of the coil directed along the normal to the plane of the coil.
= angle between
and
.
Assuming, the direction of magnetic field is along the normal to the plane of the coil initially.
At any time t, the angle which magnetic field makes with the normal to the plane of the coil is
Therefore, the magnetic flux linked with the coil at any time t is given by
According to Faraday's law of electromagnetic induction, the emf induced in the coil is given by
(b):
The amplitude of the alternating voltage is the maximum value of the emf and emf is maximum when
Therefore, the amplitude of the alternating voltage is given by
We have,
Putting all these values,