Match the following lists :
| List-I (Correction) | List-II (Formula) |
|---|---|
| P.Absolute length (Ca) | 1.(1/24)(W/P)² L |
| Q.Sag (Cg) | 2.h² / 2L |
| R.Alignment (Cm) | 3.(c/l) L |
Select the correct answer using the code given below :
- A2 1 3
- B3 2 1
- C3 1 2Correct
- D2 3 1
Solution
Concept
Corrections applied to a measured length
Formula
Ca = (c/l) L; Cg = (1/24)(W/P)² L; Cm = h²/2L
Step-by-step solution
1. Absolute length (tape too long or short by c): Ca = (c/l) L → 3. 2. Sag: Cg = (1/24)(W/P)² L → 1. 3. Alignment (or slope): C = h²/2L → 2.
Explanation
Each correction has its standard formula: absolute length proportional to the error per tape length, sag proportional to (W/P)², and alignment/slope proportional to h²/2L.
Why the other options are wrong
The other codes mismatch the formulae.
Shortcut
Sag has the 1/24 (W/P)².
Correct answer: C) 3 1 2