Answer:
8.40 m/s
Explanation:
Slope of the plot is 0.119
Slope of a plot is given by the change in y direction divided by the change in x direction
Here, the y axis represents inverse wavelength and the x axis represents frequency.
f = Frequency (Hz, assumed)
v = Phase velocity (m/s, assumed)
λ = Wavelength (m, assumed)
So, slope

Now,


The speed of sound travelling in the tube is 8.40 m/s
Explanation:
It is given that,
Velocity of the particle moving in straight line is :

We need to find the distance (x) traveled by the particle during the first t seconds. It is given by :


Using by parts integration, we get the value of x as :

Hence, this is the required solution.
If time is the x axis and distance is the y axis then yes, in the case that time is going by but distance remains the same.
Did you find the speed of sound from how far away the storm is
Answer:
The telescope can gather light 1600 times more than the human eyes can!
Explanation:
The light gathering ability of an optical element is directly proportional to its area of opening.
So, in comparing the light gathering abilities for two objects, it is just the ratio of their area of opening.
Let the diameter of the telescope be D = 1 m
And the diameter of the human eyes be d = 2.5 cm = 0.025 m
Light gathering ability of the telescope compared to the eyes = D² ÷ d²
= (D²/d²) = (1²/0.025²) = 1600 times.
The telescope can gather light 1600 times more than the human eyes can!
Hope this Helps!!!