Question

Match the LIST-I with LIST-II

LIST-I	LIST-II
A. Plane table survey B. Horizontal and vertical plane levelling C. Dumpy level D. Calculation of volume	I. Theodolite II. Line of collimation III. Radiation method IV. Prismoidal formula

Choose the correct answer from the options given below:

• A. A-II, B-III, C-IV, D-I
• B. A-III, B-I, C-II, D-IV
• C. A-IV, B-II, C-III, D-I
• D. A-II, B-IV, C-I, D-III

Hint:

Important surveying associations: \[ \text{Theodolite} \rightarrow \text{Horizontal and vertical angle measurement} \] \[ \text{Plane table survey} \rightarrow \text{Radiation method} \] \[ \text{Dumpy level} \rightarrow \text{Line of collimation} \] \[ \text{Earthwork volume} \rightarrow \text{Prismoidal formula} \]

Answer 1

The Correct Option is B

Concept: Surveying instruments and methods are used for measurement of distances, angles, elevations and volumes in civil and agricultural engineering projects. Different surveying techniques are associated with specific instruments and formulas. Matching type questions can be solved correctly by understanding the practical application of each surveying method and instrument. The important concepts involved in this problem are:
• Plane table surveying commonly uses the radiation method.
• Horizontal and vertical angle measurements are performed using a theodolite.
• Dumpy level works based on the line of collimation.
• Prismoidal formula is used for accurate calculation of earthwork volume.

Step 1: Matching Plane Table Survey. Plane table surveying is a graphical method of surveying in which field observations and plotting are done simultaneously. One of the most important methods used in plane table surveying is: \[ \text{Radiation method} \] In this method:
• all points are located by drawing rays from a single station,
• distances are measured from the station to the required points,
• plotting is carried out directly on the drawing sheet. Therefore: \[ A \rightarrow III \]

Step 2: Matching Horizontal and Vertical Plane Levelling. Measurement of horizontal and vertical angles is carried out using a: \[ \text{Theodolite} \] A theodolite is one of the most important surveying instruments because it can accurately measure:
• horizontal angles,
• vertical angles,
• alignment directions. Therefore: \[ B \rightarrow I \]

Step 3: Matching Dumpy Level. A dumpy level is an optical levelling instrument used to determine elevation differences. The fundamental working principle of a dumpy level depends upon the: \[ \text{Line of collimation} \] The line of collimation is the imaginary line passing through the intersection of cross hairs and the optical center of the objective lens. Hence: \[ C \rightarrow II \]

Step 4: Matching Calculation of Volume. For earthwork calculations such as embankments and excavations, the most accurate formula commonly used is the: \[ \text{Prismoidal formula} \] The prismoidal formula provides highly accurate volume estimation because it considers:
• end areas,
• mid-sectional area,
• variation of cross section along the length. Therefore: \[ D \rightarrow IV \]

Step 5: Writing the final matching sequence. Combining all the correct matches: \[ A-III,\; B-I,\; C-II,\; D-IV \] This corresponds to: \[ \boxed{\text{Option (B)}} \] Verification Table: \[ \begin{array}{|c|c|} \hline \text{LIST-I} & \text{LIST-II} \hline A.\ \text{Plane table survey} & III.\ \text{Radiation method} \hline B.\ \text{Horizontal and vertical plane levelling} & I.\ \text{Theodolite} \hline C.\ \text{Dumpy level} & II.\ \text{Line of collimation} \hline D.\ \text{Calculation of volume} & IV.\ \text{Prismoidal formula} \hline \end{array} \] Thus, the correct answer is: \[ \boxed{A-III,\; B-I,\; C-II,\; D-IV} \]