To develop this problem we require the concepts related to Frequency and their respective way of calculating it.
The formula to calculate the frequency is given by

Where,


For fundamental mode, wavelength is equal to 4 time the length.
Then,

Replacing in the first equation,


Therefore the frequency is 96.12Hz
The horizontal component of the displacement is 566.9 m
Explanation:
The horizontal (x-) and vertical (y-) components of a vector on the Cartesian plane can be found as follows:


where
v is the magnitude of the vector
is the angle representing the direction of the vector, measured as above the x-axis.
In this problem, we have:
v = 740 m (magnitude of the vector)
(direction of the vector)
Therefore, the two components are


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with the same generator, so the only factor for producing
the slectric field is only the speed. The faster the rotational speed of the
generator the greater it produce electric field. So the sequence is 3000 rpm
< 3200 rpm < 3400 rpm < 3600 rpm