In a model generator, a 310-turn rectangular coil 0.075 m by 0.18 m rotates with an angular frequency of 12.2 rad/s in a uniform
1 answer:
This question involves the concepts of the induced emf, magnetic field, and angular frequency.
The maximum emf induced in the coil is "32.68 volts".
The following formula can be used to find out the induced emf in the coil.
But, for maximum induced emf sin function should have a value of 1. Therefore,
where,
E = induced emf = ?
N = No. of turns in the coil = 310 turns
ω = angular frequency = 12.2 rad/s
A = Area of coil = (0.075 m)(0.18 m) = 0.0135 m²
B = magnetic field = 0.64 T
Therefore,
<u>E = 32.68 volts</u>
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Complete Question
Find the ratio of intensities in 4 different sets of red to violet spectral satellites in Raman scattering spectra of CCl4 molecules at T=27C temperature if corresponding resonant infrared frequencies (equivalent to frequencies of nuclei vibrations) of CCl4 molecule are 217, 315, 457 and 774 cm-1 . (Note: Wavenumber N in cm-1 is defined as )
Answer:
The ratio of intensities is
Explanation:
From the question we are told that
The number of sets of satellite is
The temperature is
The resonant infrared frequencies are
From the question we see that the wave number also has a unit of hence the value of the wave numbers of the molecule are
Generally intensity is mathematically represented as
Here we see that I varies inversely with wavelength i,.e
From the question we are told that the wave number is mathematically represented as
Therefore
This implies that the ratio of intensity in first set to that of second set to that of third set to that of fourth set is equal to the ratio of the wavenumber in the first set to that of the second set to that of third set to that of fourth
This is mathematically represented as
Substituting values