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The distance between two points a and bon a plan was found to be 100 m.when measured with a scale with rf of 1/1000.the distance between the same points when measured with a scale with rf 1/500 will be?
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The distance between two points a and bon a plan was found to be 100 m...
If the distance between two points a and b is 100 meters when measured with a scale that has a RF (resolution factor) of 1/1000, and we use a scale that has a RF of 1/500 to measure the same distance, the distance will be 200 meters.
This is because the RF of a scale is the reciprocal of its precision, so a scale with a RF of 1/1000 is more precise than a scale with a RF of 1/500. Therefore, when we use the less precise scale, the measured distance will be larger than when we use the more precise scale.
In general, if the distance between two points a and b is d when measured with a scale that has a RF of R, and we use a scale that has a RF of R', the distance will be d * R / R'.
This question is part of UPSC exam. View all Civil Engineering (CE) courses
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The distance between two points a and bon a plan was found to be 100 m...
Solution:
Given:
Distance between two points a and b on a plan = 100 m
RF of the first scale = 1/1000
RF of the second scale = 1/500
To find:
Distance between the same points when measured with a scale with RF of 1/500
Formula:
RF = Real distance / Measured distance
Approach:
We can use the formula to find the real distance between the two points when measured with the second scale.
Let's assume the measured distance between the two points with the first scale is x.
Using the formula, we can write:
RF1 = Real distance / Measured distance with scale 1
1/1000 = 100 / x
x = 100000 / 1 = 100000 m
Now, let's find the real distance between the two points when measured with the second scale.
RF2 = Real distance / Measured distance with scale 2
1/500 = Real distance / Measured distance with scale 2
Real distance = (1/500) * Measured distance with scale 2
Substituting the value of measured distance with scale 1, we get:
Real distance = (1/500) * (x / 2)
Real distance = (1/500) * (100000 / 2)
Real distance = 1000 m
Therefore, the distance between the two points a and b when measured with a scale with RF of 1/500 is 1000 m.
Conclusion:
The distance between two points a and b on a plan was found to be 100 m when measured with a scale with RF of 1/1000. The distance between the same points when measured with a scale with RF of 1/500 is 1000 m.
Given:
Distance between two points a and b on a plan = 100 m
RF of the first scale = 1/1000
RF of the second scale = 1/500
To find:
Distance between the same points when measured with a scale with RF of 1/500
Formula:
RF = Real distance / Measured distance
Approach:
We can use the formula to find the real distance between the two points when measured with the second scale.
Let's assume the measured distance between the two points with the first scale is x.
Using the formula, we can write:
RF1 = Real distance / Measured distance with scale 1
1/1000 = 100 / x
x = 100000 / 1 = 100000 m
Now, let's find the real distance between the two points when measured with the second scale.
RF2 = Real distance / Measured distance with scale 2
1/500 = Real distance / Measured distance with scale 2
Real distance = (1/500) * Measured distance with scale 2
Substituting the value of measured distance with scale 1, we get:
Real distance = (1/500) * (x / 2)
Real distance = (1/500) * (100000 / 2)
Real distance = 1000 m
Therefore, the distance between the two points a and b when measured with a scale with RF of 1/500 is 1000 m.
Conclusion:
The distance between two points a and b on a plan was found to be 100 m when measured with a scale with RF of 1/1000. The distance between the same points when measured with a scale with RF of 1/500 is 1000 m.
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The distance between two points a and bon a plan was found to be 100 m.when measured with a scale with rf of 1/1000.the distance between the same points when measured with a scale with rf 1/500 will be?
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The distance between two points a and bon a plan was found to be 100 m.when measured with a scale with rf of 1/1000.the distance between the same points when measured with a scale with rf 1/500 will be? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The distance between two points a and bon a plan was found to be 100 m.when measured with a scale with rf of 1/1000.the distance between the same points when measured with a scale with rf 1/500 will be? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The distance between two points a and bon a plan was found to be 100 m.when measured with a scale with rf of 1/1000.the distance between the same points when measured with a scale with rf 1/500 will be?.
The distance between two points a and bon a plan was found to be 100 m.when measured with a scale with rf of 1/1000.the distance between the same points when measured with a scale with rf 1/500 will be? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The distance between two points a and bon a plan was found to be 100 m.when measured with a scale with rf of 1/1000.the distance between the same points when measured with a scale with rf 1/500 will be? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The distance between two points a and bon a plan was found to be 100 m.when measured with a scale with rf of 1/1000.the distance between the same points when measured with a scale with rf 1/500 will be?.
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