Answer:
a
The output power is
b
The Amplitude would decrease by
Explanation:
From the question we are told that
The diameter of the steel wire is = 1.0mm
The raduis of this steel wire is
Now from the question we can deduce that the power output is equal to the power being transmitted by wave on the wire this is mathematically represented as
Where is the mass per unit length of the wire
This is mathematically evaluated as
Where a is the area of the the wire =
is the density of steel with a generally value of
So
is velocity of the wave
This is mathematically evaluated as
substituting 60Hz for f
We have
is the amplitude with a given value of 0.50 cm
v is the linear velocity of the wave
This is mathematically evaluated as
Where T is the tension with a given value of
Substituting values into equation 1
Since the doubling of the frequency does not affect the amplitude and from equation one the output power is of the Amplitude, Then the Amplitude would decrease by