Answer:
wavelength = 2m
Speed = 342m/s
Explanation:
The length of the pipe in terms of the wavelength is expressed as;
L = v/4 (For closed pipe)
v = 4L
Given
L = 50cm
L = 0.5m
Get the wavelength v;
v = 4(0.5)
v = 2.0m
Hence the wavelength is 2.0m
The speed of the sound in pipe is expressed as;
Fo = V/4L
Fo is the fundamental frequency
V is the speed of sound
L is the length of the pipe
171 = V/4(0.5)
V = 171 * 2
V = 342m/s
Hence the speed of the sound in pipe is 342m/s
Answer:
11970 pa
Explanation:
A millimetre of mercury is a manometric unit of pressure, formerly defined as the extra pressure generated by a column of mercury one millimetre high, and currently defined as exactly 133.322387415 pascals so if 1 mmHg is 133 pa 90mmHg is 11970 aprox
Answer:
The slower the train is moving, the less are the changes of the magnetic flux, thus the eddy currents become weaker.
Explanation:
A magnetic brakes is not a very efficient way of braking when a train is moving slowly because at low speeds, the changes in the magnetic flux are very less and so it causes the eddy current to become weaker.
Let us find the drag force which is proportional to the velocity of two conducting plates.
The EMF that is induced in the eddy currents are : 
The force which is due to the induced magnetic field is, 
Therefore, 

Here, force is directly proportional to the velocity of the two conducting plates.
Therefore, we can say that when the speed of the train is low, the magnetic flux changes are less and thus the eddy currents are weaker.
Answer:
The percentage change in frequency is 10%.
Explanation:
Given that,
Amplitude decreases by 1/10 per second.
Resonance = 10 Hz
We need to calculate the change in frequency
Using formula of change in frequency

Put the value into the formula


We need to calculate the resonant frequency
Using formula of resonant frequency

Put the value into the formula


We need to calculate the percentage change in frequency
Using formula of percentage change in frequency


Hence, The percentage change in frequency is 10%.