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The external and internal diameters of a hollow cylinder are determined with the vernier calipers the result s are recorded as 4.23 0.01 and 3.89 0.01 CM determine the thickness of the cylinder wall with the limits of error.?
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The external and internal diameters of a hollow cylinder are determine...
Solution:

To determine the thickness of the cylinder wall, we need to subtract the internal diameter from the external diameter.

Given data:
External diameter = 4.23 cm ± 0.01 cm
Internal diameter = 3.89 cm ± 0.01 cm

Step 1: Determining the average diameter
To find the average diameter, we add the external and internal diameters and divide the sum by 2.

Average diameter = (external diameter + internal diameter) / 2
Average diameter = (4.23 cm + 3.89 cm) / 2
Average diameter = 8.12 cm / 2
Average diameter = 4.06 cm

Step 2: Determining the thickness
To find the thickness, we subtract the internal diameter from the external diameter.

Thickness = External diameter - Internal diameter
Thickness = 4.23 cm - 3.89 cm
Thickness = 0.34 cm

Step 3: Determining the limits of error
To determine the limits of error, we need to consider the maximum and minimum values for both the external and internal diameters.

Maximum external diameter = 4.23 cm + 0.01 cm = 4.24 cm
Minimum external diameter = 4.23 cm - 0.01 cm = 4.22 cm

Maximum internal diameter = 3.89 cm + 0.01 cm = 3.90 cm
Minimum internal diameter = 3.89 cm - 0.01 cm = 3.88 cm

Maximum thickness = Maximum external diameter - Minimum internal diameter
Maximum thickness = 4.24 cm - 3.88 cm
Maximum thickness = 0.36 cm

Minimum thickness = Minimum external diameter - Maximum internal diameter
Minimum thickness = 4.22 cm - 3.90 cm
Minimum thickness = 0.32 cm

Therefore, the thickness of the cylinder wall is 0.34 cm with a maximum limit of error of 0.36 cm and a minimum limit of error of 0.32 cm.
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The external and internal diameters of a hollow cylinder are determine...
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Maxwell Distribution Function In a given mass of gas, the velocities of all molecules are not the same, even when bulk parameters like pressure, volume and temperature are fixed. Collisions change the direction and the speed of molecules. However in a state of equilibrium, the distribution of speeds is constant or fixed. Distributions are very important and useful when dealing with systems containing large number of objects. As an example consider the ages of different persons in a city. It is not feasible to deal with the age of each individual. We can divide the people into groups: children up to age 20 years, adults between ages of 20 and 60, old people above 60. If we want more detailed information we can choose smaller intervals, 0–1, 1–2,..., 99– 100 of age groups. When the size of the interval becomes smaller, say half year, the number of persons in the interval will also reduce, roughly half the original number in the one year interval. The number of persons dN(x) in the age interval x and x + dx is proportional to dx or dN(x) = nx dx. We have used nx to denote the number of persons at the value of x. In a similar way the molecular speed distribution gives the number of molecules between the speeds v and v + dv. dN(v) = 4p N a3 e–bv2v2dv = nvdv. This is called Maxwell distribution.The plot of nv against v is shown in the figure. The fraction of the molecules with speeds v and v + dv is equal to the area of the strip shown. The average of any quantity like v2 is defined by the integralwhich agrees with the result derived from more elementary considerations.Q. From the given graph determine the number of molecules at zero speed.

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The external and internal diameters of a hollow cylinder are determined with the vernier calipers the result s are recorded as 4.23 0.01 and 3.89 0.01 CM determine the thickness of the cylinder wall with the limits of error.?
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The external and internal diameters of a hollow cylinder are determined with the vernier calipers the result s are recorded as 4.23 0.01 and 3.89 0.01 CM determine the thickness of the cylinder wall with the limits of error.? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about The external and internal diameters of a hollow cylinder are determined with the vernier calipers the result s are recorded as 4.23 0.01 and 3.89 0.01 CM determine the thickness of the cylinder wall with the limits of error.? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The external and internal diameters of a hollow cylinder are determined with the vernier calipers the result s are recorded as 4.23 0.01 and 3.89 0.01 CM determine the thickness of the cylinder wall with the limits of error.?.
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