A column of some gas is open at one end and closed at the other. The shortest length of such a column that will resonate with a
1 answer:
Answer:
392 m/s
Explanation:
In a closed pipe or column (one in which one end is open and the other is closed), resonance occurs at various lengths of the column depending on the frequency. The shortest column is formed when the frequency is the fundamental frequency.
At any frequency, the node of the standing wave is formed at the closed end while antinodes are formed at the open end. For the fundamental frquency, this standing wave is a quarter-wavelength long since this is the shortest distance between a node and antinode.
Thus,
Now the speed of a wave is
where
is its frequency
Hence,
Substituting values in the question and converting cm to m,
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Answer:
A) x _electron = 0.66 10² m , B) x _Eart = 1.13 10² m , C) d_sphere = 1.37 10⁻² mm
Explanation:
A) Let's use a ball for the nucleus, the electron is at a farther distance the sphere for the electron must be at a distance of
Let's use proportions rule
x_ electron = 0.529 10⁻¹⁰ /1.2 10⁻¹⁵ 1.5
x _electron = 0.66 10⁵ mm = 0.66 10² m
B) the radii of the Earth and the sun are
= 6.37 10⁶ m
tex]R_{Sum}[/tex] = 6.96 10⁸ m
Distance = 1.5 10¹¹ m
x_Earth = 1.5 10¹¹ / 6.96 10⁸ 1.5
x _Eart = 1.13 10² m
C) The radius of a sphere that represents the earth, if the sphere that represents the sun is 1.5 mm, let's use another rule of proportions
d_sphere = 1.5 / 6.96 10⁸ 6.37 10⁶
d_sphere = 1.37 10⁻² mm
Answer:
Order of maximum transmission of the polarizer is A, C and B.
Solution:
As per the question:
For the first polarizer, the angle is quite insignificant:
(A) :
The light intensity after passing through the first polarizer is and this intensity does not depend on the angle of the polarizer.
Consider with the vertical, the intensity is given by:
(B) :
Suppose the second polarizer is with the vertical.
Now, intensity through the second polarizer:
Now, if we consider the second polarizer to be ,
(C) :
Now,
Intensity through the third polarizer, if it is with the vertical: