Capacitor in series with a 100Ω resistor and a 18.0 mH inductor will give a resonance frequency of 1000 Hz is 1.38F
Resonance Frequency of a combination of Series LCR circuit is the frequency at which resonance is achieved in a circuit.
Resonance Frequency of a combination of Series LCR circuit is given by:
f = 1 / 2π![\sqrt{LC\\](https://tex.z-dn.net/?f=%5Csqrt%7BLC%5C%5C)
where, f is the resonance Resonance Frequency of a combination of Series LCR circuit
L is the Inductance of the inductor
C is the capacitance of the capacitor
Given,
f = 1000Hz
L = 18.0 mH = 0.018H
R = 100Ω
C = ?
On substituting the values in the above-mentioned formula:
1000 = 1 / 2π![\sqrt{0.018C}](https://tex.z-dn.net/?f=%5Csqrt%7B0.018C%7D)
2π
= 0.001
On solving, C = 1.38 F
Hence, the capacitance of the given capacitor is 1.38F.
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Answer:
(a) The angular displacement of the toy is 18.85 rad.
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(b) The toy's angular velocity is 6.284 rad/min.
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(c) if the counterclockwise rotation is in negative direction, the angular acceleration will be positive when the toy is turned off and vice versa.
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Answer:C
Explanation:
Radar waves will be useful to examine the surface of the planet.
Radio waves are the shorter wavelength microwaves ranging approximately 1 cm.
Short wavelength causes large reflection from large objects. These waves are useful to detect smaller objects like water drops in the cloud.
They can penetrate clouds and that is why they are used in weather forecasting, air traffic control, etc.
The different types of radiation are defined by the the amount of energy found in the photons. Radio waves have photons with low energies, microwave photons have a little more energy than radio waves, infrared photons have still more, then visible, ultraviolet, X-rays, and, the most energetic of all, gamma-rays.
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