`{:("Column A", "Column B"),(A."cicular motion",a."Vechicle crossing over a fly-over bridge"),(B."Rectilinear motion",b."One to-and-fro-motion"),(C."Curvilinear motion",c."Distance-time graph is a straight line"),(D. (v-u)/a,d.100cm),(E."Constant speed",e."Time (t)"),(F."Oscillation",f."A spinning top"),(G."The length of a seconds pendulum" ("taking" g=10ms^(-2)),g."Coin moving over a carrom board"):}`

Answer

To solve the matching question between Column A and Column B, we need to analyze each term in Column A and find the corresponding match in Column B based on the definitions and characteristics of the motions described.

### Step-by-Step Solution:

1. **Match Circular Motion (A)**:
- **Definition**: Circular motion refers to the motion of an object in a circular path.
- **Options**: The only option that fits this definition is **(f) A spinning top**.
- **Conclusion**: A matches with f.

2. **Match Rectilinear Motion (B)**:
- **Definition**: Rectilinear motion is the motion along a straight line.
- **Options**: The option that describes this is **(g) Coin moving over a carrom board**.
- **Conclusion**: B matches with g.

3. **Match Curvilinear Motion (C)**:
- **Definition**: Curvilinear motion refers to motion along a curved path.
- **Options**: The option that fits this definition is **(a) Vehicle crossing over a fly-over bridge**.
- **Conclusion**: C matches with a.

4. **Match Oscillation (F)**:
- **Definition**: Oscillation is a repetitive back-and-forth motion.
- **Options**: The option that describes this is **(b) One to-and-fro-motion**.
- **Conclusion**: F matches with b.

5. **Match Constant Speed (E)**:
- **Definition**: Constant speed means that the speed of an object does not change over time.
- **Options**: The option that describes this is **(c) Distance-time graph is a straight line**.
- **Conclusion**: E matches with c.

6. **Match Time (G)**:
- **Definition**: Time can be calculated using the formula from the equations of motion.
- **Options**: The option that fits this is **(d) (v-u)/a**.
- **Conclusion**: G matches with d.

7. **Match Length of a Seconds Pendulum (D)**:
- **Definition**: The length of a seconds pendulum is specifically 100 cm (or 1 meter).
- **Options**: The only option left is **(e) Time (t)**.
- **Conclusion**: D matches with e.

### Final Matching:
- A - f (Circular motion - A spinning top)
- B - g (Rectilinear motion - Coin moving over a carrom board)
- C - a (Curvilinear motion - Vehicle crossing over a fly-over bridge)
- D - e (Length of a seconds pendulum - Time (t))
- E - c (Constant speed - Distance-time graph is a straight line)
- F - b (Oscillation - One to-and-fro-motion)
- G - d (Time - (v-u)/a)