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: Understanding the Corrections.
Each type of correction is associated with a specific formula that involves certain variables like load (W), length (L), and others.
Step 2: Matching the Corrections to Formulas.
- (A) Sag correction uses the formula \( t = (L/h)R \). Thus, it matches with (I).
- (B) Pull correction uses the formula \( t = - \frac{1}{24} \times (W/p)^2 \). Thus, it matches with (II).
- (C) Temperature correction uses the formula \( t = (T_f - T_J)L \). Thus, it matches with (III).
- (D) Mean sea level correction uses the formula \( t = (P_f - P_j) \times L/AE \). Thus, it matches with (IV).

Step 3: Conclusion.
Therefore, the correct match is: (A) - (I), (B) - (III), (C) - (II), (D) - (IV), making option (3) the correct answer.

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