Answer:
0.368 cm
Explanation:
x = distance by which the mercury rise
d = depth of the water = 10 cm = 0.10 m
ρ = density of water = 1000 kgm⁻³
ρ' = density of mercury = 13600 kgm⁻³
P₀ = atmospheric pressure
Using equilibrium of pressure on both side
P₀ + ρ g d = P₀ + ρ' g (2x)
(1000) (0.10) = (13600) (2x)
x = 0.00368 m
x = 0.368 cm
<span>The equilibrant, also known as the counterbalancer in a force system, is an equal but opposite force that produces equilibrium. It acts against the resultant force to keep a body motionless. Suppose we have a 20kg mass on one end of a swing and nothing on the other. The swing will be titled unevenly because no force balances the 20kg weight. On the other hand suppose a weight of 40kg rest on the other end. This force doesn't produce equilibrium either because it isn't equal to the 20kg weight; the swing would tilt towards the weight of larger mass. A 20kg mass will balance the system. Hence the force which balances other forces, thus bringing an object to equilibrium is the equilbrant.</span>
Since the discrete Fourier series, the Sampling rate, would be the equivalent of the inverse of the passage of time, that is, to the frequency, mathematically this can be written as,
In turn, the time can be described depending on the period and the amount of data samples taken. This would be,
Here,
m = Data Samples
T = Period
Replacing,
Replacing the value of the time from the first equation,
At the same time, the range then will be given between the basic frequency to the half of the sample, that is,
Therefore the lowest frequency is 5000Hz and highest 9.165Hz
