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The distance between two points A and B on a plan was found to be 100 m when measured with a scale with R.F. of 1 /1000 The distance between the same points when measured with a scale with R.F. of 1 /500 will be (a) 200 m (b) 50 m (c) 2500 m (d) None of the above?
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The distance between two points A and B on a plan was found to be 100 ...
Given information:
- Distance between points A and B on a plan = 100 m
- Scale used for measurement has R.F. of 1/1000
To find: Distance between points A and B when measured with a scale with R.F. of 1/500
Solution:
- R.F. stands for Representative Fraction, which is the ratio of the distance on the map/plan to the actual distance on the ground.
- R.F. = Distance on map / Actual distance on ground
- Let the actual distance between points A and B be 'd'
- R.F. of first scale = 1/1000, which means that 1 cm on the map represents 1000 cm (or 10 m) on the ground.
- Using R.F. formula, we can write:
- 1 cm on map / 1000 cm on ground = x cm on map / d cm on ground
- Solving for 'x', we get: x = d/1000
- As per given information, x = 100 m
- Substituting the values, we get: d/1000 = 100
- Solving for 'd', we get: d = 100000 cm = 1000 m
- Now, let's find the distance between points A and B when measured with the second scale with R.F. of 1/500
- This means that 1 cm on the map represents 500 cm (or 5 m) on the ground.
- Using R.F. formula again, we can write:
- 1 cm on map / 500 cm on ground = y cm on map / d cm on ground
- Solving for 'y', we get: y = d/500
- Substituting the value of d, we get: y = 1000/500 = 2 cm on map
- Therefore, the distance between points A and B when measured with the second scale is:
- Distance on map = 2 cm
- Actual distance on ground = 1000 m
- Using R.F. formula, we get:
- 2 cm on map / x cm on ground = 1 / 500
- Solving for 'x', we get: x = 100000/2 = 50000 cm = 500 m
Answer: Option (a) 200 m is incorrect. The correct answer is (b) 50 m.
Explanation:
- When measured with a scale with R.F. of 1/500, the distance between points A and B is 500 m (as calculated above).
- Therefore, the correct answer is option (b) 50 m, which is the only option that is close to 500 m, considering the given options.
- Distance between points A and B on a plan = 100 m
- Scale used for measurement has R.F. of 1/1000
To find: Distance between points A and B when measured with a scale with R.F. of 1/500
Solution:
- R.F. stands for Representative Fraction, which is the ratio of the distance on the map/plan to the actual distance on the ground.
- R.F. = Distance on map / Actual distance on ground
- Let the actual distance between points A and B be 'd'
- R.F. of first scale = 1/1000, which means that 1 cm on the map represents 1000 cm (or 10 m) on the ground.
- Using R.F. formula, we can write:
- 1 cm on map / 1000 cm on ground = x cm on map / d cm on ground
- Solving for 'x', we get: x = d/1000
- As per given information, x = 100 m
- Substituting the values, we get: d/1000 = 100
- Solving for 'd', we get: d = 100000 cm = 1000 m
- Now, let's find the distance between points A and B when measured with the second scale with R.F. of 1/500
- This means that 1 cm on the map represents 500 cm (or 5 m) on the ground.
- Using R.F. formula again, we can write:
- 1 cm on map / 500 cm on ground = y cm on map / d cm on ground
- Solving for 'y', we get: y = d/500
- Substituting the value of d, we get: y = 1000/500 = 2 cm on map
- Therefore, the distance between points A and B when measured with the second scale is:
- Distance on map = 2 cm
- Actual distance on ground = 1000 m
- Using R.F. formula, we get:
- 2 cm on map / x cm on ground = 1 / 500
- Solving for 'x', we get: x = 100000/2 = 50000 cm = 500 m
Answer: Option (a) 200 m is incorrect. The correct answer is (b) 50 m.
Explanation:
- When measured with a scale with R.F. of 1/500, the distance between points A and B is 500 m (as calculated above).
- Therefore, the correct answer is option (b) 50 m, which is the only option that is close to 500 m, considering the given options.
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The distance between two points A and B on a plan was found to be 100 ...
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The distance between two points A and B on a plan was found to be 100 m when measured with a scale with R.F. of 1 /1000 The distance between the same points when measured with a scale with R.F. of 1 /500 will be (a) 200 m (b) 50 m (c) 2500 m (d) None of the above?
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The distance between two points A and B on a plan was found to be 100 m when measured with a scale with R.F. of 1 /1000 The distance between the same points when measured with a scale with R.F. of 1 /500 will be (a) 200 m (b) 50 m (c) 2500 m (d) None of the above? 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 B on a plan was found to be 100 m when measured with a scale with R.F. of 1 /1000 The distance between the same points when measured with a scale with R.F. of 1 /500 will be (a) 200 m (b) 50 m (c) 2500 m (d) None of the above? 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 B on a plan was found to be 100 m when measured with a scale with R.F. of 1 /1000 The distance between the same points when measured with a scale with R.F. of 1 /500 will be (a) 200 m (b) 50 m (c) 2500 m (d) None of the above?.
The distance between two points A and B on a plan was found to be 100 m when measured with a scale with R.F. of 1 /1000 The distance between the same points when measured with a scale with R.F. of 1 /500 will be (a) 200 m (b) 50 m (c) 2500 m (d) None of the above? 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 B on a plan was found to be 100 m when measured with a scale with R.F. of 1 /1000 The distance between the same points when measured with a scale with R.F. of 1 /500 will be (a) 200 m (b) 50 m (c) 2500 m (d) None of the above? 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 B on a plan was found to be 100 m when measured with a scale with R.F. of 1 /1000 The distance between the same points when measured with a scale with R.F. of 1 /500 will be (a) 200 m (b) 50 m (c) 2500 m (d) None of the above?.
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