Twelve
For an open ended pipe, the fundamental frequency is dependent on the length of the pipe and the speed of sound. Slightly less dramatic limiting factors are the temperature and pressure.
In an open pipe column, the fundamental frequency is f1 = V_sound / (2*L) which means that the longer the pipe, the lower the frequency.
Each frequency thereafter is just a multiple of the fundamental frequency.
f2 = 2* f1
f3 = 3 * f1
fn = n*f1
But that is not really what you are being asked. You are asked about the wavelength
Start with the fundamental formula
v = f wavelenght
f = n * v/2L
v = (n*v/2L) * wavelength The "v"s cancel out
2L / n = wavelength.
Thirteen
Fourteen
If the pipe increases in length, the frequency will go down and the wavelength will go up
Average speed =
(total distance)/(total time)
Average speed = (99+90)/(2+3)
That's (189 km) / (5 hr)
Average speed = 37.8 km/hr
Explanation:
As the given spheres are connected by a thin wire so, the potential on the spheres are the same.
......... (1)
Hence, total charge will be as follows.
= Q = -95.5 nC .......... (2)
Using the above two equations, the final equation will be as follows.

and, 
Hence, we will calculate the charge on sphere B after the equilibrium is reached as follows.

= 
= 82.714 nC
Thus, we can conclude that the charge on sphere B after equilibrium has been reached is 82.714 nC.
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Answer:
a) 
b) 
c) 
d) 
e)
&
f) 
Explanation:
From the question we are told that:
Stretch Length 
Mass 
Total stretch length
a)
Generally the equation for Force F on the spring is mathematically given by


b)Generally the equation for Max Velocity of Mass on the spring is mathematically given by

Where
A=Amplitude

And

Therefore


c)
Generally the equation for Max Acceleration of Mass on the spring is mathematically given by



d)
Generally the equation for Total mechanical energy of Mass on the spring is mathematically given by



e)
Generally the equation for the period T is mathematically given by



Generally the equation for the Frequency is mathematically given by


f)
Generally the Equation of time-dependent vertical position of the mass is mathematically given by

Where
'= signify order of differentiation