Question

Match List-I with List-II

List-I	List-II
Type of correction	Formula used
(The symbols have their usual meaning)
(A) Sag correction	(I) \( \pm L(1 - h/R) \)
(B) Pull correction	(II) \( -\frac{1}{24} \times \left(\frac{W}{P}\right)^2 \)
(C) Temperature correction	(III) \( \pm (T_f - T_s)L \)
(D) Mean sea level correction	(IV) \( \pm \frac{(P_l - P_s) \times L}{AE} \)

Choose the correct answer from the options given below:

• (A) - (II), (B) - (IV), (C) - (III), (D) - (I)
• (A) - (IV), (B) - (III), (C) - (I), (D) - (II)
• (A) - (I), (B) - (III), (C) - (II), (D) - (IV)
• (A) - (II), (B) - (I), (C) - (IV), (D) - (III)

Hint:

When matching corrections to their formulas, identify the formula that best describes the physical principle behind each correction.

Answer 1

The Correct Option is C

Step 1: Correction Overview.
Each correction type uses a specific formula involving variables like load (W) and length (L).
Step 2: Formula Matching.
- (A) Sag correction: \( t = (L/h)R \) matches (I).
- (B) Pull correction: \( t = - \frac{1}{24} \times (W/p)^2 \) matches (II).
- (C) Temperature correction: \( t = (T_f - T_J)L \) matches (III).
- (D) Mean sea level correction: \( t = (P_f - P_j) \times L/AE \) matches (IV).

Step 3: Result.
The correct pairings are: (A) - (I), (B) - (III), (C) - (II), (D) - (IV). Option (3) is the correct answer.

Final Answer:
\[ \boxed{(A) - (I), (B) - (III), (C) - (II), (D) - (IV)} \]