Exercise [Scales]

EXERCISE

1. Construct a plain scale to measure decametre and centimetre long enough to measure upto 3 decameter and mark a length of 2.3 decametre. Take R.F = 1/30. 

2. A 4cm long line on a map represents a 1.5 m length. Determine the R.F and draw a scale long enough to measure upto 6 m. Also show a distance of 3.8 m on it. 

3. Construct a diagonal scale showing kilometre, hectometre and decametre in which a 2.5 cm long line represents 1 km and the scale is long enough to measure upto 7 km. Find R.F and mark a distance of 4 kilometre 5 hectometre and 5 decametre on it. 

4. The distance between two stations by road is 200 km and it is represented on a certain map by a 5 cm long line. Find the R.F and construct a diagonal scale showing a single kilometer and long enough to measure upto 600 km. Show a distance of 325 km on this scale. 

5. The R.F of the scale is 1/400. Construct a scale to measure a maximum distance of 50 m and show a distance of 28.7 on it. 

6. Draw a vernier scale with R.F = 1/2.5 to show decimetres and centimetres and by a vernier to read millimetres to measure upto 4 decimetres. Mark on the scale a length of 2.44 m. 

7. Construct a forward vernier scale to read kilometre and should be long enough to measure upto 6 km. Assume the actual distances are reduced in the ratio of 1: 40000. Also mark on the scale a length of 2.87 km and 1.15 km. 

8. Solve the above problem by constructing a backward vernier scale.